Gravitational lensing; Cosmology; Hubble constant; Dark energy
Abstract :
[en] Multiply lensed images of a same source experience a relative time delay in the arrival of photons due to the path length difference and the different gravitational potentials the photons travel through. This effect can be used to measure absolute distances and the Hubble constant (H<SUB>0</SUB>) and is known as time-delay cosmography. The method is independent of the local distance ladder and early-universe physics and provides a precise and competitive measurement of H<SUB>0</SUB>. With upcoming observatories, time-delay cosmography can provide a 1% precision measurement of H<SUB>0</SUB> and can decisively shed light on the current reported `Hubble tension'. This manuscript details the general methodology developed over the past decades in time-delay cosmography, discusses recent advances and results, and, foremost, provides a foundation and outlook for the next decade in providing accurate and ever more precise measurements with increased sample size and improved observational techniques.
Disciplines :
Space science, astronomy & astrophysics
Author, co-author :
Birrer, S.; SUNY Stony Brook, New York, Kavli Institute for Particle Astrophysics and Cosmology, California, Kavli Institute for Particle Astrophysics and Cosmology, California
Millon, M.; Kavli Institute for Particle Astrophysics and Cosmology, California, Ecole Polytechnique Federale de Lausanne, Laboratoire d'Astrophysique, Ecole Polytechnique Federale de Lausanne, Laboratoire d'Astrophysique
Sluse, Dominique ; Université de Liège - ULiège > Département d'astrophysique, géophysique et océanographie (AGO) ; STAR Institute, Quartier Agora - Allée du six Août, 19c B-4000, Liège, Belgium
Shajib, A. J.; University of Chicago, Department of Astronomy and Astrophysics, University of Chicago, Kavli Institute for Cosmological Physics, University of Chicago, Kavli Institute for Cosmological Physics
Courbin, F.; Ecole Polytechnique Federale de Lausanne, Laboratoire d'Astrophysique, -, Institucio Catalona de Recerca i Estudis Avancats, -, Institucio Catalona de Recerca i Estudis Avancats
Erickson, S.; Kavli Institute for Particle Astrophysics and Cosmology, California
Koopmans, L. V. E.; University of Groningen, Kapteyn Astronomical Institute
Suyu, S. H.; Max-Planck-Institute for Astrophysics, Garching, -, -, -, -
Treu, T.; University of California, Los Angeles, Department of Physics and Astronomy
Language :
English
Title :
Time-Delay Cosmography: Measuring the Hubble Constant and Other Cosmological Parameters with Strong Gravitational Lensing
T.M.C. Abbott F.B. Abdalla J. Annis et al. Dark energy survey year 1 results: a precise H0 estimate from DES Y1, BAO, and D/H data Mon Not R Astron Soc 2018 480 3 3879 3888 2018MNRAS.480.3879A 10.1093/mnras/sty1939
E. Abdalla G.F. Abellán A. Aboubrahim et al. Cosmology intertwined: a review of the particle physics, astrophysics, and cosmology associated with the cosmological tensions and anomalies J High Energy Astrophys 2022 34 49 211 2022JHEAp.34..49A 10.1016/j.jheap.2022.04.002
A. Acebron E. Jullo M. Limousin A. Tilquin C. Giocoli M. Jauzac G. Mahler J. Richard Hubble Frontier Fields: systematic errors in strong lensing models of galaxy clusters - implications for cosmography Mon Not R Astron Soc 2017 470 2 1809 1825 2017MNRAS.470.1809A 10.1093/mnras/stx1330
A. Aghamousa A. Shafieloo Fast and reliable time delay estimation of strong lens systems using the smoothing and cross-correlation methods Astrophys J 2015 804 1 39 2015ApJ..804..39A 10.1088/0004-637X/804/1/39
S. Aiola E. Calabrese L. Maurin et al. The Atacama cosmology telescope: DR4 maps and cosmological parameters J Cosmol Astropart Phys 2020 2020 12 10.1088/1475-7516/2020/12/047
N. Arendse A. Agnello R.J. Wojtak Low-redshift measurement of the sound horizon through gravitational time-delays Astron Astrophys 2019 632 91 2019A&A..632A.91A 10.1051/0004-6361/201935972
M.W. Auger C.D. Fassnacht A.L. Abrahamse L.M. Lubin G.K. Squires The gravitational lens-galaxy group connection. II. Groups associated with B2319 + 051 and B1600 + 434 Astron J 2007 134 2 668 679 2007AJ..134.668A 10.1086/519238
M.W. Auger T. Treu A.S. Bolton R. Gavazzi L.V.E. Koopmans P.J. Marshall K. Bundy L.A. Moustakas The Sloan Lens ACS Survey. IX. Colors, lensing, and stellar masses of early-type galaxies Astrophys J 2009 705 2 1099 1115 2009ApJ..705.1099A 10.1088/0004-637X/705/2/1099
M.W. Auger T. Treu A.S. Bolton R. Gavazzi L.V.E. Koopmans P.J. Marshall L.A. Moustakas S. Burles The Sloan Lens ACS Survey. X. Stellar, dynamical, and total mass correlations of massive early-type galaxies Astrophys J 2010 724 511 525 2010ApJ..724.511A 10.1088/0004-637X/724/1/511
S. Bag W. Sohn A. Shafieloo K. Liao Harnessing unresolved lensed quasars: the mathematical foundation of the fluctuation curve Astrophys J 2023 950 2 158 2023ApJ..950.158B 10.3847/1538-4357/accea3
D. Baldwin P.L. Schechter A Malmquist-like bias in the inferred areas of diamond caustics and the resulting bias in inferred time delays for gravitationally lensed quasars Astrophys J 2024 962 108 10.3847/1538-4357/ad175a
M. Barnabè O. Czoske L.V.E. Koopmans T. Treu A.S. Bolton Two-dimensional kinematics of SLACS lenses - III. Mass structure and dynamics of early-type lens galaxies beyond z = 0.1 Mon Not R Astron Soc 2011 415 3 2215 2232 2011MNRAS.415.2215B 10.1111/j.1365-2966.2011.18842.x
M. Barnabè A.A. Dutton P.J. Marshall M.W. Auger B.J. Brewer T. Treu A.S. Bolton D.C. Koo L.V.E. Koopmans The SWELLS survey - IV. Precision measurements of the stellar and dark matter distributions in a spiral lens galaxy Mon Not R Astron Soc 2012 423 2 1073 1088 2012MNRAS.423.1073B 10.1111/j.1365-2966.2012.20934.x
A. Barnacka J.-F. Glicenstein Y. Moudden First evidence of a gravitational lensing-induced echo in gamma rays with Fermi LAT Astron Astrophys 2011 528 3 10.1051/0004-6361/201016175
M. Biesiada Strong lensing systems as a probe of dark energy in the universe Phys Rev D 2006 73 2 2006PhRvD.73b3006B 10.1103/PhysRevD.73.023006
Biggio L, Domi A, Tosi S, Vernardos G, Ricci D, Paganin L, Bracco G (2021) Time delay estimation in unresolved lensed quasars. arXiv e-prints, arXiv: 2110.01012
A.D. Biggs I.W.A. Browne P. Helbig L.V.E. Koopmans P.N. Wilkinson R.A. Perley Time delay for the gravitational lens system B0218 + 357 Mon Not R Astron Soc 1999 304 2 349 358 1999MNRAS.304.349B 10.1046/j.1365-8711.1999.02309.x
J. Binney G.A. Mamon M/L and velocity anisotropy from observations of spherical galaxies, of must M 87 have a massive black hole? Mon Not R Astron Soc 1982 200 361 375 1982MNRAS.200.361B 10.1093/mnras/200.2.361
J. Binney S. Tremaine Galactic dynamics 2008 2 10.1515/9781400828722 Princeton University Press
S. Birrer Gravitational lensing formalism in a curved arc basis: a continuous description of observables and degeneracies from the weak to the strong lensing regime Astrophys J 2021 919 1 38 2021ApJ..919..38B 10.3847/1538-4357/ac1108
S. Birrer A. Amara Lenstronomy: multi-purpose gravitational lens modelling software package Phys Dark Universe 2018 22 189 201 2018PDU..22.189B 10.1016/j.dark.2018.11.002
S. Birrer T. Treu Astrometric requirements for strong lensing time-delay cosmography Mon Not R Astron Soc 2019 489 2 2097 2103 2019MNRAS.489.2097B 10.1093/mnras/stz2254
S. Birrer T. Treu TDCOSMO. V. Strategies for precise and accurate measurements of the Hubble constant with strong lensing Astron Astrophys 2021 649 61 2021A&A..649A.61B 10.1051/0004-6361/202039179
S. Birrer A. Amara A. Refregier Gravitational lens modeling with basis sets Astrophys J 2015 813 2 102 2015ApJ..813.102B 10.1088/0004-637X/813/2/102
S. Birrer A. Amara A. Refregier The mass-sheet degeneracy and time-delay cosmography: analysis of the strong lens RXJ1131-1231 J Cosmol Astropart Phys 2016 2016 8 10.1088/1475-7516/2016/08/020
S. Birrer C. Welschen A. Amara A. Refregier Line-of-sight effects in strong lensing: putting theory into practice J Cosmol Astropart Phys 2017 2017 4 3651863 10.1088/1475-7516/2017/04/049
S. Birrer T. Treu C.E. Rusu V. Bonvin C.D. Fassnacht J.H.H. Chan A. Agnello A.J. Shajib G.C.-F. Chen M. Auger F. Courbin S. Hilbert D. Sluse S.H. Suyu K.C. Wong P. Marshall B.C. Lemaux G. Meylan H0LiCOW - IX. Cosmographic analysis of the doubly imaged quasar SDSS 1206 + 4332 and a new measurement of the Hubble constant Mon Not R Astron Soc 2019 484 4 4726 4753 2019MNRAS.484.4726B 10.1093/mnras/stz200
S. Birrer A.J. Shajib A. Galan M. Millon T. Treu A. Agnello M. Auger G.C.-F. Chen L. Christensen T. Collett F. Courbin C.D. Fassnacht L.V.E. Koopmans P.J. Marshall J.-W. Park C.E. Rusu D. Sluse C. Spiniello S.H. Suyu S. Wagner-Carena K.C. Wong M. Barnabè A.S. Bolton O. Czoske X. Ding J.A. Frieman L. Van de Vyvere TDCOSMO. IV. Hierarchical time-delay cosmography – joint inference of the Hubble constant and galaxy density profiles Astron Astrophys 2020 643 165 10.1051/0004-6361/202038861
Birrer S, Dhawan S, Shajib AJ (2022) The Hubble constant from strongly lensed supernovae with standardizable magnifications. Astrophys J 924:2. https://doi.org/10.3847/1538-4357/ac323a
J.A. Blackburne C.S. Kochanek The effect of a time-varying accretion disk size on quasar microlensing light curves Astrophys J 2010 718 2 1079 1084 2010ApJ..718.1079B 10.1088/0004-637X/718/2/1079
J.P. Blakeslee J.B. Jensen C.-P. Ma P.A. Milne J.E. Greene The Hubble constant from infrared surface brightness fluctuation distances Astrophys J 2021 911 1 65 2021ApJ..911..65B 10.3847/1538-4357/abe86a
R. Blandford R. Narayan Fermat’s principle, caustics, and the classification of gravitational lens images Astrophys J 1986 310 568 1986ApJ..310.568B 10.1086/164709
K. Blum E. Castorina M. Simonović Could quasar lensing time delays hint to a core component in halos, instead of H0 tension? Astrophys J Lett 2020 892 2 27 2020ApJ..892L.27B 10.3847/2041-8213/ab8012
A.S. Bolton S. Burles L.V.E. Koopmans T. Treu R. Gavazzi L.A. Moustakas R. Wayth D.J. Schlegel The Sloan Lens ACS Survey. V. The full ACS strong-lens sample Astrophys J 2008 682 2 964 984 2008ApJ..682.964B 10.1086/589327
V. Bonvin M. Tewes F. Courbin T. Kuntzer D. Sluse G. Meylan COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. XV. Assessing the achievability and precision of time-delay measurements Astron Astrophys 2016 585 88 2016A&A..585A.88B 10.1051/0004-6361/201526704
V. Bonvin F. Courbin S.H. Suyu P.J. Marshall C.E. Rusu D. Sluse M. Tewes K.C. Wong T. Collett C.D. Fassnacht T. Treu M.W. Auger S. Hilbert L.V.E. Koopmans G. Meylan N. Rumbaugh A. Sonnenfeld C. Spiniello H0LiCOW - V. New COSMOGRAIL time delays of HE 0435-1223: H0 to 3.8 per cent precision from strong lensing in a flat ΛCDM model Mon Not R Astron Soc 2017 465 4 4914 4930 2017MNRAS.465.4914B 10.1093/mnras/stw3006
V. Bonvin M. Millon J.H.-H. Chan F. Courbin C.E. Rusu D. Sluse S.H. Suyu K.C. Wong C.D. Fassnacht P.J. Marshall T. Treu E. Buckley-Geer J. Frieman A. Hempel S. Kim R. Lachaume M. Rabus D.C.-Y. Chao M. Chijani D. Gilman K. Gilmore K. Rojas P. Williams T. Anguita C.S. Kochanek C. Morgan V. Motta M. Tewes G. Meylan COSMOGRAIL. XVIII. Time delays of the quadruply lensed quasar WFI2033-4723 Astron Astrophys 2019 629 97 10.1051/0004-6361/201935921
M. Bradač M. Lombardi P. Schneider Mass-sheet degeneracy: fundamental limit on the cluster mass reconstruction from statistical (weak) lensing Astron Astrophys 2004 424 13 22 2004A&A..424..13B 10.1051/0004-6361:20035744
E.J. Buckley-Geer H. Lin C.E. Rusu et al. STRIDES: spectroscopic and photometric characterization of the environment and effects of mass along the line of sight to the gravitational lenses DES J0408-5354 and WGD 2038-4008 Mon Not R Astron Soc 2020 498 3 3241 3274 2020MNRAS.498.3241B 10.1093/mnras/staa2563
I. Burud J. Hjorth A.O. Jaunsen M.I. Andersen H. Korhonen J.W. Clasen J. Pelt F.P. Pijpers P. Magain R. Østensen An optical time delay estimate for the double gravitational lens system B1600 + 434 Astrophys J 2000 544 1 117 122 2000ApJ..544.117B 10.1086/317213
I. Burud J. Hjorth F. Courbin J.G. Cohen P. Magain A.O. Jaunsen A.A. Kaas C. Faure G. Letawe Time delay and lens redshift for the doubly imaged BAL quasar SBS 1520 + 530 Astron Astrophys 2002 391 481 486 2002A&A..391.481B 10.1051/0004-6361:20020856
E.M. Cackett K. Horne H. Winkler Testing thermal reprocessing in active galactic nuclei accretion discs Mon Not R Astron Soc 2007 380 2 669 682 2007MNRAS.380.669C 10.1111/j.1365-2966.2007.12098.x
G.B. Caminha C. Grillo P. Rosati I. Balestra W. Karman M. Lombardi A. Mercurio M. Nonino P. Tozzi A. Zitrin A. Biviano M. Girardi A.M. Koekemoer P. Melchior M. Meneghetti E. Munari S.H. Suyu K. Umetsu M. Annunziatella S. Borgani T. Broadhurst K.I. Caputi D. Coe C. Delgado-Correal S. Ettori A. Fritz B. Frye R. Gobat C. Maier A. Monna M. Postman B. Sartoris S. Seitz E. Vanzella B. Ziegler CLASH-VLT: a highly precise strong lensing model of the galaxy cluster RXC J2248.7-4431 (Abell S1063) and prospects for cosmography Astron Astrophys 2016 587 80 10.1051/0004-6361/201527670
J.H.H. Chan K. Rojas M. Millon F. Courbin V. Bonvin G. Jauffret Measuring accretion disk sizes of lensed quasars with microlensing time delay in multi-band light curves Astron Astrophys 2021 647 115 2021A&A..647A.115C 10.1051/0004-6361/202038971
G.C.-F. Chen S.H. Suyu K.C. Wong C.D. Fassnacht T. Chiueh A. Halkola I.S. Hu M.W. Auger L.V.E. Koopmans D.J. Lagattuta J.P. McKean S. Vegetti SHARP - III. First use of adaptive-optics imaging to constrain cosmology with gravitational lens time delays Mon Not R Astron Soc 2016 462 4 3457 3475 2016MNRAS.462.3457C 10.1093/mnras/stw991
G.C.-F. Chen J.H.H. Chan V. Bonvin C.D. Fassnacht K. Rojas M. Millon F. Courbin S.H. Suyu K.C. Wong D. Sluse T. Treu A.J. Shajib J.-W. Hsueh D.J. Lagattuta L.V.E. Koopmans S. Vegetti J.P. McKean Constraining the microlensing effect on time delays with a new time-delay prediction model in H0 measurements Mon Not R Astron Soc 2018 481 1 1115 1125 2018MNRAS.481.1115C 10.1093/mnras/sty2350
G.C.-F. Chen C.D. Fassnacht S.H. Suyu C.E. Rusu J.H.H. Chan K.C. Wong M.W. Auger S. Hilbert V. Bonvin S. Birrer M. Millon L.V.E. Koopmans D.J. Lagattuta J.P. McKean S. Vegetti F. Courbin X. Ding A. Halkola I. Jee A.J. Shajib D. Sluse A. Sonnenfeld T. Treu A SHARP view of H0LiCOW: H0 from three time-delay gravitational lens systems with adaptive optics imaging Mon Not R Astron Soc 2019 490 2 1743 1773 2019MNRAS.490.1743C 10.1093/mnras/stz2547
Chen GC-F, Fassnacht CD, Suyu SH, Koopmans LVE, Lagattuta DJ, McKean JP, Auger MW, Vegetti S, Treu T (2021b) SHARP VIII: J0924 + 0219 lens mass distribution and time-delay prediction through adaptive-optics imaging. arXiv e-prints, arXiv: 2107.10304
Chen GC-F, Treu T, Fassnacht CD, Ragland S, Schmidt T, Suyu SH (2021a) Point-spread function reconstruction of adaptive-optics imaging: Meeting the astrometric requirements for time-delay cosmography. arXiv e-prints, arXiv: 2106.11060
Chen W, Kelly PL, Frye BL, Pierel J, Willner SP, Pascale M, Cohen SH, Conselice CJ, Engesser M, Furtak LJ, Gilman D, Grogin NA, Huber S, Jha SW, Johansson J, Koekemoer AM, Larison C, Meena AK, Siebert MR, Windhorst RA, Yan H, Zitrin A (2024) JWST Spectroscopy of SN H0pe: Classification and Time Delays of a Triply-imaged Type Ia Supernova at z = 1.78. arXiv e-prints, arXiv: 2403.19029. https://doi.org/10.48550/arXiv.2403.19029
C.C. Cheung S. Larsson J.D. Scargle M.A. Amin R.D. Blandford D. Bulmash J. Chiang S. Ciprini R.H.D. Corbet E.E. Falco P.J. Marshall D.L. Wood M. Ajello D. Bastieri A. Chekhtman F. D’Ammando M. Giroletti J.E. Grove B. Lott R. Ojha M. Orienti J.S. Perkins M. Razzano A.W. Smith D.J. Thompson K.S. Wood Fermi large area telescope detection of gravitational lens delayed γ-ray flares from Blazar B0218 + 357 Astrophys J Lett 2014 782 2 14 2014ApJ..782L.14C 10.1088/2041-8205/782/2/L14
J.P. Coles J.I. Read P. Saha Gravitational lens recovery with GLASS: measuring the mass profile and shape of a lens Mon Not R Astron Soc 2014 445 3 2181 2197 2014MNRAS.445.2181C 10.1093/mnras/stu1781
T.E. Collett The population of galaxy-galaxy strong lenses in forthcoming optical imaging surveys Astrophys J 2015 811 1 20 2015ApJ..811..20C 10.1088/0004-637X/811/1/20
T.E. Collett S.D. Cunnington Observational selection biases in time-delay strong lensing and their impact on cosmography Mon Not R Astron Soc 2016 462 3 3255 3264 2016MNRAS.462.3255C 10.1093/mnras/stw1856
T.E. Collett M.W. Auger V. Belokurov P.J. Marshall A.C. Hall Constraining the dark energy equation of state with double-source plane strong lenses Mon Not R Astron Soc 2012 424 4 2864 2875 2012MNRAS.424.2864C 10.1111/j.1365-2966.2012.21424.x
T.E. Collett P.J. Marshall M.W. Auger S. Hilbert S.H. Suyu Z. Greene T. Treu C.D. Fassnacht L.V.E. Koopmans M. Bradač R.D. Blandford Reconstructing the lensing mass in the universe from photometric catalogue data Mon Not R Astron Soc 2013 432 1 679 692 2013MNRAS.432.679C 10.1093/mnras/stt504
W.N. Colley R.E. Schild C. Abajas D. Alcalde Z. Aslan I. Bikmaev V. Chavushyan L. Chinarro J.-P. Cournoyer R. Crowe V. Dudinov A.K.D. Evans Y.-B. Jeon L.J. Goicoechea O. Golbasi I. Khamitov K. Kjernsmo H.J. Lee J. Lee K.W. Lee M.G. Lee O. Lopez-Cruz E. Mediavilla A.F.J. Moffat R. Mujica A. Ullan J. Muñoz A. Oscoz M.-G. Park N. Purves O. Saanum N. Sakhibullin M. Serra-Ricart I. Sinelnikov R. Stabell A. Stockton J. Teuber R. Thompson H.-S. Woo A. Zheleznyak Around-the-clock observations of the Q0957 + 561A,B gravitationally lensed quasar. II. Results for the second observing season Astrophys J 2003 587 1 71 79 2003ApJ..587..71C 10.1086/368076
A.R. Cooray An upper limit on Ωm using lensed arcs Astrophys J 1999 524 2 504 509 1999ApJ..524.504C 10.1086/307861
F. Courbin A. Eigenbrod C. Vuissoz G. Meylan P. Magain Y. Mellier G. Meylan COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses Gravitational lensing impact on cosmology 2005 297 303 10.1017/S1743921305002097 Cambridge University Press
F. Courbin V. Chantry Y. Revaz D. Sluse C. Faure M. Tewes E. Eulaers M. Koleva I. Asfandiyarov S. Dye P. Magain H. van Winckel J. Coles P. Saha M. Ibrahimov G. Meylan COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. IX. Time delays, lens dynamics and baryonic fraction in HE 0435-1223 Astron Astrophys 2011 536 53 10.1051/0004-6361/201015709
F. Courbin V. Bonvin E. Buckley-Geer et al. COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. XVI. Time delays for the quadruply imaged quasar DES J0408-5354 with high-cadence photometric monitoring Astron Astrophys 2018 609 71 10.1051/0004-6361/201731461
H. Dahle M.D. Gladders K. Sharon M.B. Bayliss J.R. Rigby Time delay measurements for the cluster-lensed sextuple quasar SDSS J2222 + 2745 Astrophys J 2015 813 1 67 2015ApJ..813..67D 10.1088/0004-637X/813/1/67
M.G. Dainotti B. De Simone T. Schiavone G. Montani E. Rinaldi G. Lambiase On the Hubble constant tension in the SNe Ia pantheon sample Astrophys J 2021 912 2 150 2021ApJ..912.150D 10.3847/1538-4357/abeb73
N. Dalal J.F. Hennawi P. Bode Noise in strong lensing cosmography Astrophys J 2005 622 1 99 105 2005ApJ..622..99D 10.1086/427323
A. D’Aloisio P. Natarajan Cosmography with cluster strong lenses: the influence of substructure and line-of-sight haloes Mon Not R Astron Soc 2011 411 3 1628 1640 2011MNRAS.411.1628D 10.1111/j.1365-2966.2010.17795.x
G. De Lucia J. Blaizot The hierarchical formation of the brightest cluster galaxies Mon Not R Astron Soc 2007 375 1 2 14 2007MNRAS.375..2D 10.1111/j.1365-2966.2006.11287.x
P. Denzel J.P. Coles P. Saha L.L.R. Williams The Hubble constant from eight time-delay galaxy lenses Mon Not R Astron Soc 2021 501 1 784 801 2021MNRAS.501.784D 10.1093/mnras/staa3603
J. Dexter E. Agol Quasar accretion disks are strongly inhomogeneous Astrophys J Lett 2011 727 1 24 2011ApJ..727L.24D 10.1088/2041-8205/727/1/L24
E. Di Valentino O. Mena S. Pan L. Visinelli W. Yang A. Melchiorri D.F. Mota A.G. Riess J. Silk In the realm of the Hubble tension-a review of solutions Class Quantum Gravity 2021 38 15 2021CQGra.38o3001D 10.1088/1361-6382/ac086d
J.M. Diego T. Broadhurst J. Wong J. Silk J. Lim W. Zheng D. Lam H. Ford A free-form mass model of the Hubble Frontier Fields cluster AS1063 (RXC J2248.7-4431) with over one hundred constraints Mon Not R Astron Soc 2016 459 4 3447 3459 2016MNRAS.459.3447D 10.1093/mnras/stw865
T. Dietrich M.W. Coughlin P.T.H. Pang M. Bulla J. Heinzel L. Issa I. Tews S. Antier Multimessenger constraints on the neutron-star equation of state and the Hubble constant Science 2020 370 6523 1450 1453 2020Sci..370.1450D 4269291 10.1126/science.abb4317
X. Ding T. Treu S. Birrer G.C.-F. Chen J. Coles P. Denzel M. Frigo A. Galan P.J. Marshall M. Millon A. More A.J. Shajib D. Sluse H. Tak D. Xu M.W. Auger V. Bonvin H. Chand F. Courbin G. Despali C.D. Fassnacht D. Gilman S. Hilbert S.R. Kumar J.Y.-Y. Lin J.W. Park P. Saha S. Vegetti L. Van de Vyvere L.L.R. Williams Time delay lens modelling challenge Mon Not R Astron Soc 2021 503 1 1096 1123 2021MNRAS.503.1096D 10.1093/mnras/stab484
G. Dobler C.D. Fassnacht T. Treu P. Marshall K. Liao A. Hojjati E. Linder N. Rumbaugh Strong lens time delay challenge. I. Experimental design Astrophys J 2015 799 2 168 2015ApJ..799.168D 10.1088/0004-637X/799/2/168
F.R. Donnan K. Horne J.V. Hernández Santisteban Bayesian analysis of quasar lightcurves with a running optimal average: new time delay measurements of COSMOGRAIL gravitationally lensed quasars Mon Not R Astron Soc 2021 508 4 5449 5467 2021MNRAS.508.5449D 10.1093/mnras/stab2832
A. Eigenbrod F. Courbin C. Vuissoz G. Meylan P. Saha S. Dye COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. I. How to sample the light curves of gravitationally lensed quasars to measure accurate time delays Astron Astrophys 2005 436 1 25 35 2005A&A..436..25E 10.1051/0004-6361:20042422
S. Ertl S. Schuldt S.H. Suyu T. Schmidt T. Treu S. Birrer A.J. Shajib D. Sluse TDCOSMO. X. Automated modeling of nine strongly lensed quasars and comparison between lens-modeling software Astron Astrophys 2023 672 2 2023A&A..672A..2E 10.1051/0004-6361/202244909
E. Eulaers M. Tewes P. Magain F. Courbin I. Asfandiyarov S. Ehgamberdiev S. Rathna Kumar C.S. Stalin T.P. Prabhu G. Meylan H. Van Winckel COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. XII. Time delays of the doubly lensed quasars SDSS J1206 + 4332 and HS 2209 + 1914 Astron Astrophys 2013 553 121 2013A&A..553A.121E 10.1051/0004-6361/201321140
R. Fadely C.R. Keeton R. Nakajima G.M. Bernstein Improved constraints on the gravitational lens Q0957 + 561. II. Strong lensing Astrophys J 2010 711 1 246 267 2010ApJ..711.246F 10.1088/0004-637X/711/1/246
E.E. Falco M.V. Gorenstein I.I. Shapiro On model-dependent bounds on H0 from gravitational images: application to Q 0957 + 561 A, B Astrophys J 1985 289 1 4 10.1086/184422
C.D. Fassnacht L.M. Lubin The gravitational lens-galaxy group connection. I. Discovery of a group coincident with CLASS B0712 + 472 Astron J 2002 123 2 627 636 2002AJ..123.627F 10.1086/338648
C.D. Fassnacht T.J. Pearson A.C.S. Readhead I.W.A. Browne L.V.E. Koopmans S.T. Myers P.N. Wilkinson A determination of H0 with the CLASS gravitational lens B1608 + 656. I. Time delay measurements with the VLA Astrophys J 1999 527 2 498 512 1999ApJ..527.498F 10.1086/308118
C.D. Fassnacht E. Xanthopoulos L.V.E. Koopmans D. Rusin A determination of H0 with the CLASS gravitational lens B1608 + 656. III. A significant improvement in the precision of the time delay measurements Astrophys J 2002 581 2 823 835 2002ApJ..581.823F 10.1086/344368
C.D. Fassnacht R.R. Gal L.M. Lubin J.P. McKean G.K. Squires A.C.S. Readhead Mass along the line of sight to the gravitational lens B1608 + 656: galaxy groups and implications for H0 Astrophys J 2006 642 1 30 38 2006ApJ..642..30F 10.1086/500927
C.D. Fassnacht L.V.E. Koopmans K.C. Wong Galaxy number counts and implications for strong lensing Mon Not R Astron Soc 2011 410 4 2167 2179 2011MNRAS.410.2167F 10.1111/j.1365-2966.2010.17591.x
I. Ferreras P. Saha L.L.R. Williams Stellar and total mass in early-type lensing galaxies Astrophys J Lett 2005 623 1 5 8 2005ApJ..623L..5F 10.1086/429995
P. Fischer J.A. Tyson The mass distribution of the most luminous X-ray cluster RXJ 1347.5-1145 from gravitational lensing Astron J 1997 114 14 24 1997AJ..114..14F 10.1086/118447
P. Fleury J. Larena J.-P. Uzan Gravitational lenses in arbitrary space-times Class Quantum Gravity 2021 38 8 2021CQGra.38h5002F 4240390 10.1088/1361-6382/abea2d
P. Fleury J. Larena J.-P. Uzan Line-of-sight effects in strong gravitational lensing J Cosmol Astropart Phys 2021 2021 08 4348503 10.1088/1475-7516/2021/08/024
J. Fohlmeister C.S. Kochanek E.E. Falco J. Wambsganss N. Morgan C.W. Morgan E.O. Ofek D. Maoz C.R. Keeton J.C. Barentine G. Dalton J. Dembicky W. Ketzeback R. McMillan C.S. Peters A time delay for the cluster-lensed quasar SDSS J1004 + 4112 Astrophys J 2007 662 1 62 71 2007ApJ..662..62F 10.1086/518018
J. Fohlmeister C.S. Kochanek E.E. Falco C.W. Morgan J. Wambsganss The rewards of patience: an 822 day time delay in the gravitational lens SDSS J1004 + 4112 Astrophys J 2008 676 2 761 766 2008ApJ..676.761F 10.1086/528789
J. Fohlmeister C.S. Kochanek E.E. Falco J. Wambsganss M. Oguri X. Dai A two-year time delay for the lensed quasar SDSS J1029 + 2623 Astrophys J 2013 764 2 186 2013ApJ..764.186F 10.1088/0004-637X/764/2/186
M. Foxley-Marrable T.E. Collett G. Vernardos D.A. Goldstein D. Bacon The impact of microlensing on the standardization of strongly lensed Type Ia supernovae Mon Not R Astron Soc 2018 478 4 5081 5090 2018MNRAS.478.5081F 10.1093/mnras/sty1346
W.L. Freedman B.F. Madore D. Hatt T.J. Hoyt I.S. Jang R.L. Beaton C.R. Burns M.G. Lee A.J. Monson J.R. Neeley M.M. Phillips J.A. Rich M. Seibert The carnegie-Chicago Hubble program. VIII. An independent determination of the Hubble constant based on the tip of the red giant branch Astrophys J 2019 882 1 2019ApJ..882..34F 10.3847/1538-4357/ab2f73
W.L. Freedman B.F. Madore T. Hoyt I.S. Jang R. Beaton M.G. Lee A. Monson J. Neeley J. Rich Calibration of the tip of the red giant branch Astrophys J 2020 891 1 57 2020ApJ..891..57F 10.3847/1538-4357/ab7339
B.L. Frye M. Pascale J. Pierel W. Chen N. Foo R. Leimbach N. Garuda S.H. Cohen P.S. Kamieneski R.A. Windhorst A.M. Koekemoer P. Kelly J. Summers M. Engesser D. Liu L.J. Furtak M. Polletta MdC K.C. Harrington S.P. Willner J.M. Diego R.A. Jansen D. Coe C.J. Conselice L. Dai H. Dole J.C.J. D’Silva S.P. Driver N.A. Grogin M.A. Marshall A.K. Meena M. Nonino R. Ortiz N. Pirzkal A. Robotham R.E. Ryan L. Strolger S. Tompkins C.N.A. Willmer H. Yan M.S. Yun A. Zitrin The JWST discovery of the triply imaged type Ia “Supernova H0pe” and observations of the galaxy cluster PLCK G165.7 + 67.0 Astrophys J 2024 961 2 171 2024ApJ..961.171F 10.3847/1538-4357/ad1034
A. Galan A. Peel R. Joseph F. Courbin J.-L. Starck SLITRONOMY: towards a fully wavelet-based strong lensing inversion technique Astron Astrophys 2021 647 176 2021A&A..647A.176G 10.1051/0004-6361/202039363
R. Gavazzi T. Treu L.V.E. Koopmans A.S. Bolton L.A. Moustakas S. Burles P.J. Marshall The Sloan Lens ACS Survey. VI. Discovery and analysis of a double Einstein ring Astrophys J 2008 677 2 1046 1059 2008ApJ..677.1046G 10.1086/529541
A. Ghosh L.L.R. Williams J. Liesenborgs Free-form grale lens inversion of galaxy clusters with up to 1000 multiple images Mon Not R Astron Soc 2020 494 3 3998 4014 2020MNRAS.494.3998G 10.1093/mnras/staa962
E. Giannini R.W. Schmidt J. Wambsganss K. Alsubai J.M. Andersen T. Anguita V. Bozza D.M. Bramich P. Browne S. Calchi Novati Y. Damerdji C. Diehl P. Dodds M. Dominik A. Elyiv X. Fang R. Figuera Jaimes F. Finet T. Gerner S. Gu S. Hardis K. Harpsøe T.C. Hinse A. Hornstrup M. Hundertmark J. Jessen-Hansen U.G. Jørgensen D. Juncher N. Kains E. Kerins H. Korhonen C. Liebig M.N. Lund M.S. Lundkvist G. Maier L. Mancini G. Masi M. Mathiasen M. Penny S. Proft M. Rabus S. Rahvar D. Ricci G. Scarpetta K. Sahu S. Schäfer F. Schönebeck J. Skottfelt C. Snodgrass J. Southworth J. Surdej J. Tregloan-Reed C. Vilela O. Wertz F. Zimmer MiNDSTEp differential photometry of the gravitationally lensed quasars WFI 2033-4723 and HE 0047-1756: microlensing and a new time delay Astron Astrophys 2017 597 49 10.1051/0004-6361/201527422
D. Gilman S. Birrer T. Treu TDCOSMO. III. Dark matter substructure meets dark energy. The effects of (sub)halos on strong-lensing measurements of H0 Astron Astrophys 2020 642 194 2020A&A..642A.194G 10.1051/0004-6361/202038829
J. Gilmore P. Natarajan Cosmography with cluster strong lensing Mon Not R Astron Soc 2009 396 1 354 364 2009MNRAS.396.354G 10.1111/j.1365-2966.2009.14612.x
L.J. Goicoechea V.N. Shalyapin Gravitational lens system SDSS J1339 + 1310: microlensing factory and time delay Astron Astrophys 2016 596 77 2016A&A..596A.77G 10.1051/0004-6361/201628790
G. Golse J.-P. Kneib G. Soucail Constraining the cosmological parameters using strong lensing Astron Astrophys 2002 387 788 803 2002A&A..387.788G 10.1051/0004-6361:20020448
M. Gomer L.L.R. Williams Galaxy-lens determination of H0: constraining density slope in the context of the mass sheet degeneracy J Cosmol Astropart Phys 2020 2020 11 10.1088/1475-7516/2020/11/045
M.R. Gomer L.L.R. Williams Galaxy-lens determination of H0: the effect of the ellipse + shear modelling assumption Mon Not R Astron Soc 2021 504 1 1340 1354 2021MNRAS.504.1340G 10.1093/mnras/stab930
M.R. Gomer D. Sluse L. van de Vyvere S. Birrer F. Courbin TDCOSMO VIII. A key test of systematics in the hierarchical method of time-delay cosmography Astron Astrophys 2022 667 2022A&A..667A.86G 10.1051/0004-6361/202244324
M.V. Gorenstein E.E. Falco I.I. Shapiro Degeneracies in parameter estimates for models of gravitational lens systems Astrophys J 1988 327 693 1988ApJ..327.693G 10.1086/166226
Z.S. Greene S.H. Suyu T. Treu S. Hilbert M.W. Auger T.E. Collett P.J. Marshall C.D. Fassnacht R.D. Blandford M. Bradač L.V.E. Koopmans Improving the precision of time-delay cosmography with observations of galaxies along the line of sight Astrophys J 2013 768 1 39 2013ApJ..768..39G 10.1088/0004-637X/768/1/39
C. Grillo P. Rosati S.H. Suyu I. Balestra G.B. Caminha A. Halkola P.L. Kelly M. Lombardi A. Mercurio S.A. Rodney T. Treu Measuring the value of the Hubble constant “à la Refsdal” Astrophys J 2018 860 2 94 2018ApJ..860..94G 10.3847/1538-4357/aac2c9
C. Grillo L. Pagano P. Rosati S.H. Suyu Cosmography with Supernova Refsdal through time-delay cluster lensing: independent measurements of the Hubble constant and geometry of the Universe Astron Astrophys 2024 684 10.1051/0004-6361/202449278
N.A. Grogin R. Narayan A new model of the gravitational lens 0957 + 561 and a limit on the Hubble constant Astrophys J 1996 464 92 1996ApJ..464..92G 10.1086/177302
A. Gu X. Huang W. Sheu G. Aldering A.S. Bolton K. Boone A. Dey A. Filipp E. Jullo S. Perlmutter D. Rubin E.F. Schlafly D.J. Schlegel Y. Shu S.H. Suyu GIGA-lens: fast Bayesian inference for strong gravitational lens modeling Astrophys J 2022 935 1 49 2022ApJ..935..49G 10.3847/1538-4357/ac6de4
S. Hilbert S.D.M. White J. Hartlap P. Schneider Strong lensing optical depths in a ΛCDM universe Mon Not R Astron Soc 2007 382 1 121 132 2007MNRAS.382.121H 10.1111/j.1365-2966.2007.12391.x
S. Hilbert S.D.M. White J. Hartlap P. Schneider Strong-lensing optical depths in a ΛCDM universe - II. The influence of the stellar mass in galaxies Mon Not R Astron Soc 2008 386 4 1845 1854 2008MNRAS.386.1845H 10.1111/j.1365-2966.2008.13190.x
S. Hilbert J. Hartlap S.D.M. White P. Schneider Ray-tracing through the millennium simulation: born corrections and lens-lens coupling in cosmic shear and galaxy-galaxy lensing Astron Astrophys 2009 499 1 31 43 2009A&A..499..31H 10.1051/0004-6361/200811054
A. Hirv T. Eenmäe L.J. Liivamägi J. Pelt Estimation of time delays from two blended light curves of gravitational lenses Balt Astron 2007 16 241 250 2007BaltA.16.241H
J. Hjorth I. Burud A.O. Jaunsen P.L. Schechter J.-P. Kneib M.I. Andersen H. Korhonen J.W. Clasen A.A. Kaas R. Østensen J. Pelt F.P. Pijpers The time delay of the quadruple quasar RX J0911.4 + 0551 Astrophys J Lett 2002 572 1 11 14 2002ApJ..572L.11H 10.1086/341603
N.B. Hogg P. Fleury J. Larena M. Martinelli Measuring line-of-sight shear with Einstein rings: a proof of concept Mon Not R Astron Soci 2023 520 4 5982 6000 2023MNRAS.520.5982H 10.1093/mnras/stad512
A. Hojjati E.V. Linder Next generation strong lensing time delay estimation with Gaussian processes Phys Rev D 2014 90 12 2014PhRvD.90l3501H 10.1103/PhysRevD.90.123501
A. Hojjati A.G. Kim E.V. Linder Robust strong lensing time delay estimation Phys Rev D 2013 87 12 2013PhRvD.87l3512H 10.1103/PhysRevD.87.123512
O. Ilbert S. Arnouts H.J. McCracken et al. Accurate photometric redshifts for the CFHT legacy survey calibrated using the VIMOS VLT deep survey Astron Astrophys 2006 457 3 841 856 2006A&A..457.841I 10.1051/0004-6361:20065138
M. Jauzac B. Clément M. Limousin J. Richard E. Jullo H. Ebeling H. Atek J.-P. Kneib K. Knowles P. Natarajan D. Eckert E. Egami R. Massey M. Rexroth Hubble Frontier Fields: a high-precision strong-lensing analysis of galaxy cluster MACSJ0416.1-2403 using ∼200 multiple images Mon Not R Astron Soc 2014 443 2 1549 1554 2014MNRAS.443.1549J 10.1093/mnras/stu1355
I. Jee E. Komatsu S.H. Suyu Measuring angular diameter distances of strong gravitational lenses J Cosmol Astropart Phys 2015 2015 11 10.1088/1475-7516/2015/11/033
R. Joseph F. Courbin J.-L. Starck S. Birrer Sparse Lens Inversion Technique (SLIT): lens and source separability from linear inversion of the source reconstruction problem Astron Astrophys 2019 623 14 10.1051/0004-6361/201731042
E. Jullo P. Natarajan J.-P. Kneib A. D’Aloisio M. Limousin J. Richard C. Schimd Cosmological constraints from strong gravitational lensing in clusters of galaxies Science 2010 329 924 927 2010Sci..329.924J 10.1126/science.1185759
N. Kaiser G. Squires Mapping the dark matter with weak gravitational lensing Astrophys J 1993 404 441 1993ApJ..404.441K 10.1086/172297
C.R. Keeton L.A. Moustakas A new channel for detecting dark matter substructure in galaxies: gravitational lens time delays Astrophys J 2009 699 2 1720 1731 2009ApJ..699.1720K 10.1088/0004-637X/699/2/1720
P.L. Kelly S.A. Rodney T. Treu R.J. Foley G. Brammer K.B. Schmidt A. Zitrin A. Sonnenfeld L.-G. Strolger O. Graur A.V. Filippenko S.W. Jha A.G. Riess M. Bradac B.J. Weiner D. Scolnic M.A. Malkan A. von der Linden M. Trenti J. Hjorth R. Gavazzi A. Fontana J.C. Merten C. McCully T. Jones M. Postman A. Dressler B. Patel S.B. Cenko M.L. Graham B.E. Tucker Multiple images of a highly magnified supernova formed by an early-type cluster galaxy lens Science 2015 347 6226 1123 1126 2015Sci..347.1123K 10.1126/science.aaa3350
P.L. Kelly S.A. Rodney T. Treu L.-G. Strolger R.J. Foley S.W. Jha J. Selsing G. Brammer M. Bradač S.B. Cenko O. Graur A.V. Filippenko J. Hjorth C. McCully A. Molino M. Nonino A.G. Riess K.B. Schmidt B. Tucker A. von der Linden B.J. Weiner A. Zitrin Deja vu all over again: the reappearance of supernova Refsdal Astrophys J Lett 2016 819 1 8 2016ApJ..819L..8K 10.3847/2041-8205/819/1/L8
P.L. Kelly S. Rodney T. Treu S. Birrer V. Bonvin L. Dessart R.J. Foley A.V. Filippenko D. Gilman S. Jha J. Hjorth K. Mandel M. Millon J. Pierel S. Thorp A. Zitrin T. Broadhurst W. Chen J.M. Diego A. Dressler O. Graur M. Jauzac M.A. Malkan C. McCully M. Oguri M. Postman K.B. Schmidt K. Sharon B.E. Tucker A. von der Linden J. Wambsganss The magnificent five images of supernova Refsdal: time delay and magnification measurements Astrophys J 2023 948 2 93 2023ApJ..948..93K 10.3847/1538-4357/ac4ccb
P.L. Kelly S. Rodney T. Treu M. Oguri W. Chen A. Zitrin S. Birrer V. Bonvin L. Dessart J.M. Diego A.V. Filippenko R.J. Foley D. Gilman J. Hjorth M. Jauzac K. Mandel M. Millon J. Pierel K. Sharon S. Thorp L. Williams T. Broadhurst A. Dressler O. Graur S. Jha C. McCully M. Postman K.B. Schmidt B.E. Tucker A. von der Linden Constraints on the Hubble constant from supernova Refsdal’s reappearance Science 2023 380 6649 1322 2023Sci..380.1322K 10.1126/science.abh1322
Khadka N, Birrer S, Leauthaud A, Nix H (2024) Breaking the mass-sheet degeneracy in strong lensing mass modeling with weak lensing observations arXiv e-prints, arXiv: 2404.01513. https://doi.org/10.48550/arXiv.2404.01513
N. Khetan L. Izzo M. Branchesi R. Wojtak M. Cantiello C. Murugeshan A. Agnello E. Cappellaro M. Della Valle C. Gall J. Hjorth S. Benetti E. Brocato J. Burke D. Hiramatsu D.A. Howell L. Tomasella S. Valenti A new measurement of the Hubble constant using Type Ia supernovae calibrated with surface brightness fluctuations Astron Astrophys 2021 647 72 10.1051/0004-6361/202039196
L. Knox M. Millea Hubble constant hunter’s guide Phys Rev D 2020 101 4 2020PhRvD.101d3533K 4073105 10.1103/PhysRevD.101.043533
C.S. Kochanek What do gravitational lens time delays measure? Astrophys J 2002 578 1 25 32 2002ApJ..578..25K 10.1086/342476
C.S. Kochanek Overconstrained gravitational lens models and the Hubble constant Mon Not R Astron Soc 2020 493 2 1725 1735 2020MNRAS.493.1725K 10.1093/mnras/staa344
C.S. Kochanek Overconstrained models of time delay lenses redux: how the angular tail wags the radial dog Mon Not R Astron Soc 2021 501 4 5021 5028 2021MNRAS.501.5021K 10.1093/mnras/staa4033
C.S. Kochanek P.L. Schechter W.L. Freedman The Hubble constant from gravitational lens time delays Measuring and modeling the universe 2004 Cambridge University Pres, pp 117–137. arXiv:astro-ph/0306040
C.S. Kochanek N.D. Morgan E.E. Falco B.A. McLeod J.N. Winn J. Dembicky B. Ketzeback The time delays of gravitational lens HE 0435-1223: an early-type galaxy with a rising rotation curve Astrophys J 2006 640 1 47 61 2006ApJ..640..47K 10.1086/499766
T.S. Kolatt M. Bartelmann Gravitational lensing of type IA supernovae by galaxy clusters Mon Not R Astron Soc 1998 296 3 763 772 1998MNRAS.296.763K 10.1046/j.1365-8711.1998.01466.x
L.V.E. Koopmans Gravitational lensing & stellar dynamics: dark-matter and baryons in early-type galaxies to z = 1 PoS 2004 BDMH2004 10.22323/1.014.0066
L.V.E. Koopmans Gravitational imaging of cold dark matter substructures Mon Not R Astron Soc 2005 363 4 1136 1144 2005MNRAS.363.1136K 10.1111/j.1365-2966.2005.09523.x
L.V.E. Koopmans C.D. Fassnacht A determination of H0 with the CLASS gravitational lens B1608 + 656. II. Mass models and the Hubble constant from lensing Astrophys J 1999 527 2 513 524 1999ApJ..527.513K 10.1086/308120
L.V.E. Koopmans A.G. de Bruyn E. Xanthopoulos C.D. Fassnacht A time-delay determination from VLA light curves of the CLASS gravitational lens B1600 + 434 Astron Astrophys 2000 356 391 402 2000A&A..356.391K
L.V.E. Koopmans T. Treu C.D. Fassnacht R.D. Blandford G. Surpi The Hubble constant from the gravitational lens B1608 + 656 Astrophys J 2003 599 1 70 85 2003ApJ..599..70K 10.1086/379226
L.V.E. Koopmans T. Treu A.S. Bolton S. Burles L.A. Moustakas The Sloan Lens ACS Survey. III. The structure and formation of early-type galaxies and their evolution since z ≈ 1 Astrophys J 2006 649 2 599 615 2006ApJ..649.599K 10.1086/505696
L.V.E. Koopmans A. Bolton T. Treu O. Czoske M.W. Auger M. Barnabè S. Vegetti R. Gavazzi L.A. Moustakas S. Burles The structure and dynamics of massive early-type galaxies: on homology, isothermality, and isotropy inside one effective radius Astrophys J Lett 2009 703 1 51 54 2009ApJ..703L.51K 10.1088/0004-637X/703/1/L51
F.A. Kuhn S. Birrer C. Bruderer A. Amara A. Refregier Combining strong and weak lensing estimates in the Cosmos field J Cosmol Astropart Phys 2021 2021 4 4293339 10.1088/1475-7516/2021/04/010
T. Kundić E.L. Turner W.N. Colley I. Gott J. Richard J.E. Rhoads Y. Wang L.E. Bergeron K.A. Gloria D.C. Long S. Malhotra J. Wambsganss A robust determination of the time delay in 0957 + 561A, B and a measurement of the global value of Hubble’s constant Astrophys J 1997 482 1 75 82 1997ApJ..482..75K 10.1086/304147
D.J. Lagattuta J. Richard B. Clément G. Mahler V. Patrício R. Pelló G. Soucail K.B. Schmidt L. Wisotzki J. Martinez D. Bina Lens modelling Abell 370: crowning the final frontier field with MUSE Mon Not R Astron Soc 2017 469 4 3946 3964 2017MNRAS.469.3946L 10.1093/mnras/stx1079
C. Lemon T. Anguita M. Auger F. Courbin A. Galan R. McMahon F. Neira M. Oguri P. Schechter A. Shajib T. Treu Gravitationally lensed quasars in Gaia – IV. 150 new lenses, quasar pairs, and projected quasars Mon Not R Astron Soc 2023 520 3 3305 3328 2023MNRAS.520.3305L 10.1093/mnras/stac3721
Lemon C, Courbin F, More A, Schechter P, Cañameras R, Delchambre L, Leung C, Shu Y, Spiniello C, Hezaveh Y, Klüter J, McMahon R (2024) Searching for strong gravitational lenses. Space Sci Rev 220:23. https://doi.org/10.1007/s11214-024-01042-9
N. Li C. Becker S. Dye The impact of line-of-sight structures on measuring H0 with strong lensing time delays Mon Not R Astron Soc 2021 504 2 2224 2234 2021MNRAS.504.2224L 10.1093/mnras/stab984
T. Li T.E. Collett C.M. Krawczyk W. Enzi Cosmology from large populations of galaxy-galaxy strong gravitational lenses Mon Not R Astron Soc 2024 527 3 5311 5323 2024MNRAS.527.5311L 10.1093/mnras/stad3514
K. Liao Chromatic microlensing time delays Astrophys J Lett 2020 899 2 33 2020ApJ..899L.33L 10.3847/2041-8213/abadfd
K. Liao Impact of microlensing on observational strategies for gravitational time-delay measurements Astrophys J 2021 906 1 26 2021ApJ..906..26L 10.3847/1538-4357/abc876
K. Liao T. Treu P. Marshall C.D. Fassnacht N. Rumbaugh G. Dobler A. Aghamousa V. Bonvin F. Courbin A. Hojjati N. Jackson V. Kashyap S. Rathna Kumar E. Linder K. Mandel X.-L. Meng G. Meylan L.A. Moustakas T.P. Prabhu A. Romero-Wolf A. Shafieloo A. Siemiginowska C.S. Stalin H. Tak M. Tewes D. van Dyk Strong lens time delay challenge. II. Results of TDC1 Astrophys J 2015 800 1 11 2015ApJ..800..11L 10.1088/0004-637X/800/1/11
K. Liao A. Shafieloo R.E. Keeley E.V. Linder A model-independent determination of the Hubble constant from lensed quasars and supernovae using Gaussian process regression Astrophys J Lett 2019 886 1 23 2019ApJ..886L.23L 10.3847/2041-8213/ab5308
K. Liao A. Shafieloo R.E. Keeley E.V. Linder Determining model-independent H0 and consistency tests Astrophys J Lett 2020 895 2 29 2020ApJ..895L.29L 10.3847/2041-8213/ab8dbb
K. Liao M. Biesiada Z.-H. Zhu Strongly lensed transient sources: a review Chin Phys Lett 2022 39 11 2022ChPhL.39k9801L 10.1088/0256-307X/39/11/119801
R. Link M.J. Pierce Cosmological parameters from multiple-arc gravitational lensing systems. I. Smooth lensing potentials Astrophys J 1998 502 1 63 74 1998ApJ..502..63L 10.1086/305892
Y. Liu M. Oguri S. Cao Hubble constant from the cluster-lensed quasar system SDSS J 1004 + 4112: investigation of the lens model dependence Phys Rev D 2023 108 8 2023PhRvD.108h3532L 10.1103/PhysRevD.108.083532
J.M. Lotz A. Koekemoer D. Coe N. Grogin P. Capak J. Mack J. Anderson R. Avila E.A. Barker D. Borncamp G. Brammer M. Durbin H. Gunning B. Hilbert H. Jenkner H. Khandrika Z. Levay R.A. Lucas J. MacKenty S. Ogaz B. Porterfield N. Reid M. Robberto P. Royle L.J. Smith L.J. Storrie-Lombardi B. Sunnquist J. Surace D.C. Taylor R. Williams J. Bullock M. Dickinson S. Finkelstein P. Natarajan J. Richard B. Robertson J. Tumlinson A. Zitrin K. Flanagan K. Sembach B.T. Soifer M. Mountain The Frontier Fields: survey design and initial results Astrophys J 2017 837 1 97 2017ApJ..837..97L 10.3847/1538-4357/837/1/97
B. Abolfathi LSST Dark Energy Science Collaboration (LSST DESC) et al. The LSST DESC DC2 simulated sky survey Astrophys J Suppl Ser 2021 253 1 31 2021ApJS.253..31L 10.3847/1538-4365/abd62c
J. Magaña V. Motta V.H. Cárdenas T. Verdugo E. Jullo A magnified glance into the dark sector: probing cosmological models with strong lensing in A1689 Astrophys J 2015 813 1 69 2015ApJ..813..69M 10.1088/0004-637X/813/1/69
C. McCully C.R. Keeton K.C. Wong A.I. Zabludoff A new hybrid framework to efficiently model lines of sight to gravitational lenses Mon Not R Astron Soc 2014 443 4 3631 3642 2014MNRAS.443.3631M 10.1093/mnras/stu1316
C. McCully C.R. Keeton K.C. Wong A.I. Zabludoff Quantifying environmental and line-of-sight effects in models of strong gravitational lens systems Astrophys J 2017 836 1 141 2017ApJ..836.141M 10.3847/1538-4357/836/1/141
X.-L. Meng T. Treu A. Agnello M.W. Auger K. Liao P.J. Marshall Precision cosmology with time delay lenses: high resolution imaging requirements J Cosmol Astropart Phys 2015 2015 9 10.1088/1475-7516/2015/09/059
D. Merritt Distribution functions for spherical galaxies Mon Not R Astron Soc 1985 214 25 28 1985MNRAS.214P.25M 10.1093/mnras/214.1.25P
D. Merritt Spherical stellar systems with spheroidal velocity distributions Astron J 1985 90 1027 1037 1985AJ...90.1027M 10.1086/113810
A.D. Meyer D.A. van Dyk H. Tak A. Siemiginowska TD-CARMA: Painless, accurate, and scalable estimates of gravitational-lens time delays with flexible CARMA processes Astrophys J 2023 950 37 2023ApJ..950..37M 10.3847/1538-4357/acbea1
M. Millon F. Courbin V. Bonvin E. Buckley-Geer C.D. Fassnacht J. Frieman P.J. Marshall S.H. Suyu T. Treu T. Anguita V. Motta A. Agnello J.H.H. Chan D.C.-Y. Chao M. Chijani D. Gilman K. Gilmore C. Lemon J.R. Lucey A. Melo E. Paic K. Rojas D. Sluse P.R. Williams A. Hempel S. Kim R. Lachaume M. Rabus TDCOSMO. II. Six new time delays in lensed quasars from high-cadence monitoring at the MPIA 2.2 m telescope Astron Astrophys 2020 642 193 10.1051/0004-6361/202038698
M. Millon F. Courbin V. Bonvin E. Paic G. Meylan M. Tewes D. Sluse P. Magain J.H.H. Chan A. Galan R. Joseph C. Lemon O. Tihhonova R.I. Anderson M. Marmier B. Chazelas M. Lendl A.H.M.J. Triaud A. Wyttenbach COSMOGRAIL. XIX. Time delays in 18 strongly lensed quasars from 15 years of optical monitoring Astron Astrophys 2020 640 105 10.1051/0004-6361/202037740
M. Millon A. Galan F. Courbin T. Treu S.H. Suyu X. Ding S. Birrer G.C.-F. Chen A.J. Shajib D. Sluse K.C. Wong A. Agnello M.W. Auger E.J. Buckley-Geer J.H.H. Chan T. Collett C.D. Fassnacht S. Hilbert L.V.E. Koopmans V. Motta S. Mukherjee C.E. Rusu A. Sonnenfeld C. Spiniello L. Van de Vyvere TDCOSMO. I. An exploration of systematic uncertainties in the inference of H0 from time-delay cosmography Astron Astrophys 2020 639 101 10.1051/0004-6361/201937351
I. Momcheva K. Williams C. Keeton A. Zabludoff A spectroscopic study of the environments of gravitational lens galaxies Astrophys J 2006 641 1 169 189 2006ApJ..641.169M 10.1086/500382
A. Monna S. Seitz I. Balestra P. Rosati C. Grillo A. Halkola S.H. Suyu D. Coe G.B. Caminha B. Frye A. Koekemoer A. Mercurio M. Nonino M. Postman A. Zitrin Precise strong lensing mass profile of the CLASH galaxy cluster MACS 2129 Mon Not R Astron Soc 2017 466 4 4094 4106 2017MNRAS.466.4094M 10.1093/mnras/stx015
Moresco M, Amati L, Amendola L, Birrer S, Blakeslee JP, Cantiello M, Cimatti A, Darling J, Della Valle M, Fishbach M, Grillo C, Hamaus N, Holz D, Izzo L, Jimenez R, Lusso E, Meneghetti M, Piedipalumbo E, Pisani A, Pourtsidou A, Pozzetti L, Quartin M, Risaliti G, Rosati P, Verde L (2022) Unveiling the universe with emerging cosmological probes. Living Rev Relativ 25(6). https://doi.org/10.1007/s41114-022-00040-z
E. Mörtsell A. Goobar J. Johansson S. Dhawan Sensitivity of the Hubble constant determination to Cepheid calibration Astrophys J 2022 933 212 2022ApJ..933.212M 10.3847/1538-4357/ac756e
J.A. Muñoz C.S. Kochanek J. Fohlmeister J. Wambsganss E. Falco R. Forés-Toribio The longest delay: a 14.5 yr campaign to determine the third time delay in the lensing cluster SDSS J1004 + 4112 Astrophys J 2022 937 1 2022ApJ..937..34M 10.3847/1538-4357/ac8877
R. Nakajima G.M. Bernstein R. Fadely C.R. Keeton T. Schrabback Improved constraints on the gravitational lens Q0957 + 561. I. Weak lensing Astrophys J 2009 697 2 1793 1804 2009ApJ..697.1793N 10.1088/0004-637X/697/2/1793
K. Napier K. Sharon H. Dahle M. Bayliss M.D. Gladders G. Mahler J.R. Rigby M. Florian Hubble constant measurement from three large-separation quasars strongly lensed by galaxy clusters Astrophys J 2023 959 2 134 2023ApJ..959.134N 10.3847/1538-4357/ad045a
J.F. Navarro C.S. Frenk S.D.M. White A universal density profile from hierarchical clustering Astrophys J 1997 490 2 493 508 1997ApJ..490.493N 10.1086/304888
M. Oguri Gravitational lens time delays: a statistical assessment of lens model dependences and implications for the global Hubble constant Astrophys J 2007 660 1 1 15 2007ApJ..660..1O 2312298 10.1086/513093
M. Oguri Strong gravitational lensing of explosive transients Rep Prog Phys 2019 82 12 2019RPPh..82l6901O 4051725 10.1088/1361-6633/ab4fc5
M. Oguri Y. Kawano Gravitational lens time delays for distant supernovae: breaking the degeneracy between radial mass profiles and the Hubble constant Mon Not R Astron Soc 2003 338 4 25 29 2003MNRAS.338L.25O 10.1046/j.1365-8711.2003.06290.x
M. Oguri P.J. Marshall Gravitationally lensed quasars and supernovae in future wide-field optical imaging surveys Mon Not R Astron Soc 2010 405 4 2579 2593 2010MNRAS.405.2579O 10.1111/j.1365-2966.2010.16639.x
L.P. Osipkov Spherical systems of gravitating bodies with an ellipsoidal velocity distribution Sov Astron Lett 1979 5 42 1979SvAL..5..42O
B. Paczynski K. Gorski Another possible case of a gravitational lens Astrophys J Lett 1981 248 101 104 1981ApJ..248L.101P 10.1086/183634
D. Paraficz J. Hjorth Gravitational lenses as cosmic rulers: Ωm, ΩΛ from time delays and velocity dispersions Astron Astrophys 2009 507 3 49 52 2009A&A..507L.49P 10.1051/0004-6361/200913307
J.W. Park S. Wagner-Carena S. Birrer P.J. Marshall J.Y.-Y. Lin A. Roodman LSST Dark Energy Science Collaboration Large-scale gravitational lens modeling with Bayesian neural networks for accurate and precise inference of the Hubble constant Astrophys J 2021 910 1 39 2021ApJ..910..39P 10.3847/1538-4357/abdfc4
J.W. Park S. Birrer M. Ueland M. Cranmer A. Agnello S. Wagner-Carena P.J. Marshall A. Roodman Hierarchical inference of the lensing convergence from photometric catalogs with Bayesian graph neural networks Astrophys J 2023 953 178 2023ApJ..953.178P 10.3847/1538-4357/acdc25
Pascale M, Frye BL, Pierel JDR, Chen W, Kelly PL, Cohen SH, Windhorst RA, Riess AG, Kamieneski PS, Diego JM, Meena AK, Cha S, Oguri M, Zitrin A, Jee MJ, Foo N, Leimbach R, Koekemoer AM, Conselice CJ, Dai L, Goobar A, Siebert MR, Strolger L, Willner SP (2024) SN H0pe: the first measurement of H 0 from a multiply-imaged type Ia Supernova. Discovered by JWST. arXiv e-prints, arXiv: 2403.18902. https://doi.org/10.48550/arXiv.2403.18902
J. Pelt R. Kayser S. Refsdal T. Schramm The light curve and the time delay of QSO 0957 + 561 Astron Astrophys 1996 305 97 1996A&A..305..97P
D.W. Pesce J.A. Braatz M.J. Reid A.G. Riess D. Scolnic J.J. Condon F. Gao C. Henkel C.M.V. Impellizzeri C.Y. Kuo K.Y. Lo The megamaser cosmology project. XIII. Combined Hubble constant constraints Astrophys J Lett 2020 891 1 1 2020ApJ..891L..1P 10.3847/2041-8213/ab75f0
J.D.R. Pierel B.L. Frye M. Pascale et al. JWST photometric time-delay and magnification measurements for the triply-imaged type Ia “Supernova H0pe” at z = 1.78 Astrophys J 2024 967 50 10.3847/1538-4357/ad3c43
Pierel JDR, Newman AB, Dhawan S et al (2024b) Lensed type Ia Supernova “Encore” at z = 2: the first instance of two multiply-imaged Supernovae in the same host galaxy. https://doi.org/10.48550/arXiv.2404.02139. arXiv e-prints, arXiv: 2404.02139
N. Aghanim Planck Collaboration et al. Planck 2018 results. VI. Cosmological parameters Astron Astrophys 2020 641 6 10.1051/0004-6361/201833910
S. Poindexter N. Morgan C.S. Kochanek E.E. Falco Mid-IR observations and a revised time delay for the gravitational lens system quasar HE 1104-1805 Astrophys J 2007 660 1 146 151 2007ApJ..660.146P 10.1086/512773
E. Puchwein S. Hilbert Cluster strong lensing in the millennium simulation: the effect of galaxies and structures along the line-of-sight Mon Not R Astron Soc 2009 398 3 1298 1308 2009MNRAS.398.1298P 10.1111/j.1365-2966.2009.15227.x
S. Rathna Kumar M. Tewes C.S. Stalin F. Courbin I. Asfandiyarov G. Meylan E. Eulaers T.P. Prabhu P. Magain H. Van Winckel S. Ehgamberdiev COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses. XIV. Time delay of the doubly lensed quasar SDSS J1001 + 5027 Astron Astrophys 2013 557 44 10.1051/0004-6361/201322116
J.I. Read P. Saha A.V. Macciò Radial density profiles of time-delay lensing galaxies Astrophys J 2007 667 2 645 654 2007ApJ..667.645R 10.1086/520714
S. Refsdal On the possibility of determining Hubble’s parameter and the masses of galaxies from the gravitational lens effect Mon Not R Astron Soc 1964 128 307 1964MNRAS.128.307R 175608 10.1093/mnras/128.4.307
A.G. Riess S. Casertano W. Yuan L.M. Macri D. Scolnic Large Magellanic Cloud Cepheid standards provide a 1% foundation for the determination of the Hubble constant and stronger evidence for physics beyond ΛCDM Astrophys J 2019 876 1 85 2019ApJ..876..85R 10.3847/1538-4357/ab1422
A.G. Riess S. Casertano W. Yuan J.B. Bowers L. Macri J.C. Zinn D. Scolnic Cosmic distances calibrated to 1% precision with Gaia EDR3 parallaxes and Hubble Space Telescope photometry of 75 Milky Way cepheids confirm tension with ΛCDM Astrophys J Lett 2021 908 1 2021ApJ..908L..6R 10.3847/2041-8213/abdbaf
A.G. Riess W. Yuan L.M. Macri D. Scolnic D. Brout S. Casertano D.O. Jones Y. Murakami G.S. Anand L. Breuval T.G. Brink A.V. Filippenko S. Hoffmann S.W. Jha W. D’arcy Kenworthy J. Mackenty B.E. Stahl W. Zheng A comprehensive measurement of the local value of the Hubble constant with 1 km s−1 mpc−1 uncertainty from the Hubble Space Telescope and the SH0ES team Astrophys J Lett 2022 934 1 7 2022ApJ..934L..7R 10.3847/2041-8213/ac5c5b
A.G. Riess G.S. Anand W. Yuan S. Casertano A. Dolphin L.M. Macri L. Breuval D. Scolnic M. Perrin R.I. Anderson Crowded no more: the accuracy of the Hubble constant tested with high-resolution observations of cepheids by JWST Astrophys J Lett 2023 956 1 18 2023ApJ..956L.18R 10.3847/2041-8213/acf769
S.A. Rodney G.B. Brammer J.D.R. Pierel J. Richard S. Toft K.F. O’Connor M. Akhshik K.E. Whitaker A gravitationally lensed supernova with an observable two-decade time delay Nat Astron 2021 5 1118 1125 2021NatAs..5.1118R 10.1038/s41550-021-01450-9
A.J. Romanowsky C.S. Kochanek Constraints on H0 from the central velocity dispersions of lens galaxies Astrophys J 1999 516 1 18 26 1999ApJ..516..18R 10.1086/307077
C.E. Rusu C.D. Fassnacht D. Sluse S. Hilbert K.C. Wong K.-H. Huang S.H. Suyu T.E. Collett P.J. Marshall T. Treu L.V.E. Koopmans H0LiCOW - III. Quantifying the effect of mass along the line of sight to the gravitational lens HE 0435-1223 through weighted galaxy counts Mon Not R Astron Soc 2017 467 4 4220 4242 2017MNRAS.467.4220R 10.1093/mnras/stx285
C.E. Rusu K.C. Wong V. Bonvin D. Sluse S.H. Suyu C.D. Fassnacht J.H.H. Chan S. Hilbert M.W. Auger A. Sonnenfeld S. Birrer F. Courbin T. Treu G.C.-F. Chen A. Halkola L.V.E. Koopmans P.J. Marshall A.J. Shajib H0LiCOW XII. Lens mass model of WFI2033-4723 and blind measurement of its time-delay distance and H0 Mon Not R Astron Soc 2020 498 1 1440 1468 2020MNRAS.498.1440R 10.1093/mnras/stz3451
P. Saha L.L.R. Williams A portable modeler of lensed quasars Astron J 2004 127 5 2604 2616 2004AJ..127.2604S 10.1086/383544
P. Saha L.L.R. Williams Gravitational lensing model degeneracies: is steepness all-important? Astrophys J 2006 653 2 936 941 2006ApJ..653.936S 10.1086/508798
Saha P, Sluse D, Wagner J, Williams LLR (2024) Essentials of strong gravitational lensing. Space Sci Rev 220:12. https://doi.org/10.1007/s11214-024-01041-w
P.L. Schechter C.D. Bailyn R. Barr R. Barvainis C.M. Becker G.M. Bernstein J.P. Blakeslee S.J. Bus A. Dressler E.E. Falco R.A. Fesen P. Fischer K. Gebhardt D. Harmer J.N. Hewitt J. Hjorth T. Hurt A.O. Jaunsen M. Mateo D. Mehlert D.O. Richstone L.S. Sparke J.R. Thorstensen J.L. Tonry G. Wegner D.W. Willmarth G. Worthey The quadruple gravitational lens PG 1115 + 080: time delays and models Astrophys J Lett 1997 475 2 85 88 1997ApJ..475L.85S 10.1086/310478
P.L. Schechter A. Udalski M. Szymański M. Kubiak G. Pietrzyński I. Soszyński P. Woźniak K. Żebruń O. Szewczyk Ł. Wyrzykowski Microlensing of relativistic knots in the quasar HE 1104-1805 AB Astrophys J 2003 584 2 657 663 2003ApJ..584.657S 10.1086/345716
T. Schmidt T. Treu S. Birrer et al. STRIDES: automated uniform models for 30 quadruply imaged quasars Mon Not R Astron Soc 2023 518 1 1260 1300 2023MNRAS.518.1260S 10.1093/mnras/stac2235
P. Schneider A new formulation of gravitational lens theory, time-delay, and Fermat’s principle Astron Astrophys 1985 143 2 413 420 1985A&A..143.413S
P. Schneider D. Sluse Mass-sheet degeneracy, power-law models and external convergence: impact on the determination of the Hubble constant from gravitational lensing Astron Astrophys 2013 559 37 2013A&A..559A.37S 10.1051/0004-6361/201321882
P. Schneider D. Sluse Source-position transformation: an approximate invariance in strong gravitational lensing Astron Astrophys 2014 564 103 2014A&A..564A.103S 10.1051/0004-6361/201322106
P. Schneider J. Ehlers E.E. Falco Gravitational lenses 1992 10.1007/978-3-662-03758-4
N. Schöneberg G.F. Abellán A. Pérez Sánchez S.J. Witte V. Poulin J. Lesgourgues The H0 Olympics: a fair ranking of proposed models Phys Rep 2022 984 1 2022PhR..984..1S 4473830 10.1016/j.physrep.2022.07.001
M. Schwarzschild A numerical model for a triaxial stellar system in dynamical equilibrium Astrophys J 1979 232 236 247 1979ApJ..232.236S 10.1086/157282
M. Sereno Probing the dark energy with strong lensing by clusters of galaxies Astron Astrophys 2002 393 757 764 2002A&A..393.757S 10.1051/0004-6361:20021048
Shah P, Lemos P, Lahav O (2021) A buyer’s guide to the Hubble constant. Astron Astrophys Rev 29(9). https://doi.org/10.1007/s00159-021-00137-4
A.J. Shajib T. Treu A. Agnello Improving time-delay cosmography with spatially resolved kinematics Mon Not R Astron Soc 2018 473 210 226 2018MNRAS.473.210S 10.1093/mnras/stx2302
A.J. Shajib S. Birrer T. Treu et al. Is every strong lens model unhappy in its own way? Uniform modelling of a sample of 13 quadruply + imaged quasars Mon Not R Astron Soc 2019 483 4 5649 5671 2019MNRAS.483.5649S 10.1093/mnras/sty3397
A.J. Shajib S. Birrer T. Treu et al. STRIDES: a 3.9 per cent measurement of the Hubble constant from the strong lens system DES J0408-5354 Mon Not R Astron Soc 2020 494 4 6072 6102 2020MNRAS.494.6072S 10.1093/mnras/staa828
A.J. Shajib T. Treu S. Birrer A. Sonnenfeld Dark matter haloes of massive elliptical galaxies at z ∼ 0.2 are well described by the Navarro-Frenk-White profile Mon Not R Astron Soc 2021 503 2 2380 2405 2021MNRAS.503.2380S 10.1093/mnras/stab536
Shajib AJ, Vernardos G, Collett TE, Motta V, Sluse D, Williams LLR, Saha P, Birrer S, Spiniello C, Treu T (2024) Strong lensing by galaxies. Space Sci Rev 220
A.J. Shajib P. Mozumdar G.C.-F. Chen T. Treu M. Cappellari S. Knabel S.H. Suyu V.N. Bennert J.A. Frieman D. Sluse S. Birrer F. Courbin C.D. Fassnacht L. Villafaña P.R. Williams TDCOSMO. XII. Improved Hubble constant measurement from lensing time delays using spatially resolved stellar kinematics of the lens galaxy Astron Astrophys 2023 673 10.1051/0004-6361/202345878
V.N. Shalyapin L.J. Goicoechea Gravitationally lensed quasar SDSS J1442 + 4055: redshifts of lensing galaxies, time delay, microlensing variability, and intervening metal system at z ∼ 2 Astrophys J 2019 873 2 117 2019ApJ..873.117S 10.3847/1538-4357/ab08f0
Y. Shu V. Belokurov N.W. Evans Discovering strongly lensed QSOs from unresolved light curves Mon Not R Astron Soc 2021 502 2 2912 2921 2021MNRAS.502.2912S 10.1093/mnras/stab241
D. Sluse M. Tewes Imprints of the quasar structure in time-delay light curves: microlensing-aided reverberation mapping Astron Astrophys 2014 571 60 2014A&A..571A.60S 10.1051/0004-6361/201424776
D. Sluse A. Sonnenfeld N. Rumbaugh C.E. Rusu C.D. Fassnacht T. Treu S.H. Suyu K.C. Wong M.W. Auger V. Bonvin T. Collett F. Courbin S. Hilbert L.V.E. Koopmans P.J. Marshall G. Meylan C. Spiniello M. Tewes H0LiCOW - II. Spectroscopic survey and galaxy-group identification of the strong gravitational lens system HE 0435-1223 Mon Not R Astron Soc 2017 470 4 4838 4857 2017MNRAS.470.4838S 10.1093/mnras/stx1484
D. Sluse C.E. Rusu C.D. Fassnacht et al. H0LiCOW - X. Spectroscopic/imaging survey and galaxy-group identification around the strong gravitational lens system WFI 2033-4723 Mon Not R Astron Soc 2019 490 1 613 633 2019MNRAS.490.613S 10.1093/mnras/stz2483
A. Sonnenfeld On the choice of lens density profile in time delay cosmography Mon Not R Astron Soc 2018 474 4 4648 4659 2018MNRAS.474.4648S 10.1093/mnras/stx3105
A. Sonnenfeld Statistical strong lensing. II. Cosmology and galaxy structure with time-delay lenses Astron Astrophys 2021 656 2021A&A..656A.153S 10.1051/0004-6361/202142062
A. Sonnenfeld M. Cautun Statistical strong lensing. I. Constraints on the inner structure of galaxies from samples of a thousand lenses Astron Astrophys 2021 651 18 2021A&A..651A.18S 10.1051/0004-6361/202140549
G. Soucail J.-P. Kneib G. Golse Multiple-images in the cluster lens Abell 2218: constraining the geometry of the universe? Astron Astrophys 2004 417 33 37 10.1051/0004-6361:20040077
V. Springel S.D.M. White A. Jenkins C.S. Frenk N. Yoshida L. Gao J. Navarro R. Thacker D. Croton J. Helly J.A. Peacock S. Cole P. Thomas H. Couchman A. Evrard J. Colberg F. Pearce Simulations of the formation, evolution and clustering of galaxies and quasars Nature 2005 435 7042 629 636 2005Natur.435.629S 10.1038/nature03597
O.M. Springer E.O. Ofek Measuring time delays - I. Using a flux time series that is a linear combination of time-shifted light curves Mon Not R Astron Soc 2021 506 1 864 876 2021MNRAS.506.864S 10.1093/mnras/stab1600
D. Starkey K. Horne M.M. Fausnaugh et al. Space telescope and optical reverberation mapping project.VI. Reverberating disk models for NGC 5548 Astrophys J 2017 835 1 65 2017ApJ..835..65S 10.3847/1538-4357/835/1/65
S.H. Suyu P.J. Marshall M.P. Hobson R.D. Blandford A Bayesian analysis of regularized source inversions in gravitational lensing Mon Not R Astron Soc 2006 371 2 983 998 2006MNRAS.371.983S 10.1111/j.1365-2966.2006.10733.x
S.H. Suyu P.J. Marshall R.D. Blandford C.D. Fassnacht L.V.E. Koopmans J.P. McKean T. Treu Dissecting the gravitational lens B1608 + 656. I. Lens potential reconstruction Astrophys J 2009 691 1 277 298 2009ApJ..691.277S 10.1088/0004-637X/691/1/277
S.H. Suyu P.J. Marshall M.W. Auger S. Hilbert R.D. Blandford L.V.E. Koopmans C.D. Fassnacht T. Treu Dissecting the gravitational lens B1608 + 656. II. Precision measurements of the Hubble constant, spatial curvature, and the dark energy equation of state Astrophys J 2010 711 1 201 221 2010ApJ..711.201S 10.1088/0004-637X/711/1/201
S.H. Suyu M.W. Auger S. Hilbert P.J. Marshall M. Tewes T. Treu C.D. Fassnacht L.V.E. Koopmans D. Sluse R.D. Blandford F. Courbin G. Meylan Two accurate time-delay distances from strong lensing: implications for cosmology Astrophys J 2013 766 2 70 2013ApJ..766..70S 10.1088/0004-637X/766/2/70
S.H. Suyu T. Treu S. Hilbert A. Sonnenfeld M.W. Auger R.D. Blandford T. Collett F. Courbin C.D. Fassnacht L.V.E. Koopmans P.J. Marshall G. Meylan C. Spiniello M. Tewes Cosmology from gravitational lens time delays and Planck data Astrophys J Lett 2014 788 2 35 2014ApJ..788L.35S 10.1088/2041-8205/788/2/L35
S.H. Suyu V. Bonvin F. Courbin C.D. Fassnacht C.E. Rusu D. Sluse T. Treu K.C. Wong M.W. Auger X. Ding S. Hilbert P.J. Marshall N. Rumbaugh A. Sonnenfeld M. Tewes O. Tihhonova A. Agnello R.D. Blandford G.C.-F. Chen T. Collett L.V.E. Koopmans K. Liao G. Meylan C. Spiniello H0LiCOW - I. H0 lenses in COSMOGRAIL’s wellspring: program overview Mon Not R Astron Soc 2017 468 3 2590 2604 2017MNRAS.468.2590S 10.1093/mnras/stx483
S.H. Suyu T.-C. Chang F. Courbin T. Okumura Cosmological distance indicators Space Sci Rev 2018 214 5 91 2018SSRv.214..91S 10.1007/s11214-018-0524-3
Suyu SH, Goobar A, Collett T, More A, Vernardos G (2024) Strong gravitational lensing and microlensing of supernovae. Space Sci Rev 220:13. https://doi.org/10.1007/s11214-024-01044-7
A.S. Tagore D.J. Barnes N. Jackson S.T. Kay M. Schaller J. Schaye T. Theuns Reducing biases on H0 measurements using strong lensing and galaxy dynamics: results from the EAGLE simulation Mon Not R Astron Soc 2018 474 3 3403 3422 2018MNRAS.474.3403T 10.1093/mnras/stx2965
Tak H, Mandel K, van Dyk DA, Kashyap VL, Meng X-L, Siemiginowska A (2016) Bayesian Estimates of Astronomical Time Delays between Gravitationally Lensed Stochastic Light Curves. arXiv: 1602.01462
S. Taubenberger S.H. Suyu E. Komatsu I. Jee S. Birrer V. Bonvin F. Courbin C.E. Rusu A.J. Shajib K.C. Wong The Hubble constant determined through an inverse distance ladder including quasar time delays and Type Ia supernovae Astron Astrophys 2019 628 7 2019A&A..628L..7T 10.1051/0004-6361/201935980
L. Teodori K. Blum E. Castorina M. Simonović Y. Soreq Comments on the mass sheet degeneracy in cosmography analyses J Cosmol Astropart Phys 2022 2022 07 4492256 10.1088/1475-7516/2022/07/027
M. Tewes F. Courbin G. Meylan COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. XI. Techniques for time delay measurement in presence of microlensing Astron Astrophys 2013 553 120 2013A&A..553A.120T 10.1051/0004-6361/201220123
M. Tewes F. Courbin G. Meylan C.S. Kochanek E. Eulaers N. Cantale A.M. Mosquera P. Magain H. Van Winckel D. Sluse G. Cataldi D. Vörös S. Dye COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. XIII. Time delays and 9-yr optical monitoring of the lensed quasar RX J1131-1231 Astron Astrophys 2013 556 22 10.1051/0004-6361/201220352
S.S. Tie C.S. Kochanek Microlensing makes lensed quasar time delays significantly time variable Mon Not R Astron Soc 2018 473 1 80 90 2018MNRAS.473..80T 10.1093/mnras/stx2348
O. Tihhonova F. Courbin D. Harvey S. Hilbert C.E. Rusu C.D. Fassnacht V. Bonvin P.J. Marshall G. Meylan D. Sluse S.H. Suyu T. Treu K.C. Wong H0LiCOW VIII. A weak-lensing measurement of the external convergence in the field of the lensed quasar HE 0435-1223 Mon Not R Astron Soc 2018 477 4 5657 5669 2018MNRAS.477.5657T 10.1093/mnras/sty1040
O. Tihhonova F. Courbin D. Harvey S. Hilbert A. Peel C.E. Rusu C.D. Fassnacht V. Bonvin P.J. Marshall G. Meylan D. Sluse S.H. Suyu T. Treu K.C. Wong H0LiCOW - XI. A weak lensing measurement of the external convergence in the field of the lensed quasar B1608 + 656 using HST and Subaru deep imaging Mon Not R Astron Soc 2020 498 1 1406 1419 2020MNRAS.498.1406T 10.1093/mnras/staa1436
T. Treu L.V.E. Koopmans The internal structure of the lens PG1115 + 080: breaking degeneracies in the value of the Hubble constant Mon Not R Astron Soc 2002 337 2 6 10 2002MNRAS.337L..6T 10.1046/j.1365-8711.2002.06107.x
T. Treu L.V.E. Koopmans Massive dark matter halos and evolution of early-type galaxies to z ≈ 1 Astrophys J 2004 611 2 739 760 2004ApJ..611.739T 10.1086/422245
T. Treu P.J. Marshall Time delay cosmography Astron Astrophys Rev 2016 24 1 11 2016A&ARv.24..11T 10.1007/s00159-016-0096-8
Treu T, Shajib AJ (2023) Strong Lensing and H 0. arXiv e-prints, arXiv: 2307.05714. https://doi.org/10.48550/arXiv.2307.05714
T. Treu G. Brammer J.M. Diego C. Grillo P.L. Kelly M. Oguri S.A. Rodney P. Rosati K. Sharon A. Zitrin I. Balestra M. Bradač T. Broadhurst G.B. Caminha A. Halkola A. Hoag M. Ishigaki T.L. Johnson W. Karman R. Kawamata A. Mercurio K.B. Schmidt L.-G. Strolger S.H. Suyu A.V. Filippenko R.J. Foley S.W. Jha B. Patel “Refsdal” meets popper: comparing predictions of the re-appearance of the multiply imaged supernova behind MACSJ1149.5 + 2223 Astrophys J 2016 817 1 60 2016ApJ..817..60T 10.3847/0004-637X/817/1/60
T. Treu S.H. Suyu P.J. Marshall Strong lensing time-delay cosmography in the 2020s Astron Astrophys Rev 2022 30 1 2022A&ARv.30..8T 10.1007/s00159-022-00145-y
S. Unruh P. Schneider D. Sluse Ambiguities in gravitational lens models: the density field from the source position transformation Astron Astrophys 2017 601 77 2017A&A..601A.77U 10.1051/0004-6361/201629048
G. van de Ven R. Mandelbaum C.R. Keeton Galaxy density profiles and shapes - I. Simulation pipeline for lensing by realistic galaxy models Mon Not R Astron Soc 2009 398 2 607 634 2009MNRAS.398.607V 10.1111/j.1365-2966.2009.15167.x
L. Van de Vyvere M.R. Gomer D. Sluse D. Xu S. Birrer A. Galan G. Vernardos TDCOSMO. VII. Boxyness/discyness in lensing galaxies: detectability and impact on H0 Astron Astrophys 2022 659 127 2022A&A..659A.127V 10.1051/0004-6361/202141551
L. Van de Vyvere D. Sluse M.R. Gomer S. Mukherjee Consequences of the lack of azimuthal freedom in the modeling of lensing galaxies Astron Astrophys 2022 663 2022A&A..663A.179V 10.1051/0004-6361/202243382
J. Vega-Ferrero J.M. Diego V. Miranda G.M. Bernstein The Hubble constant from SN Refsdal Astrophys J Lett 2018 853 2 31 2018ApJ..853L.31V 10.3847/2041-8213/aaa95f
S. Vegetti L.V.E. Koopmans Bayesian strong gravitational-lens modelling on adaptive grids: objective detection of mass substructure in Galaxies Mon Not R Astron Soc 2009 392 3 945 963 2009MNRAS.392.945V 10.1111/j.1365-2966.2008.14005.x
L. Verde T. Treu A.G. Riess Tensions between the early and late universe Nat Astron 2019 3 891 895 2019NatAs..3.891V 10.1038/s41550-019-0902-0
G. Vernardos D. Sluse D. Pooley R.W. Schmidt M. Millon L. Weisenbach V. Motta T. Anguita P. Saha M. O’Dowd A. Peel P.L. Schechter Microlensing of strongly lensed quasars Space Sci Rev 2024 220 1 14 2024SSRv.220..14V 10.1007/s11214-024-01043-8
C. Vuissoz F. Courbin D. Sluse G. Meylan M. Ibrahimov I. Asfandiyarov E. Stoops A. Eigenbrod L. Le Guillou H. van Winckel P. Magain COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. V. The time delay in SDSS J1650 + 4251 Astron Astrophys 2007 464 3 845 851 2007A&A..464.845V 10.1051/0004-6361:20065823
C. Vuissoz F. Courbin D. Sluse G. Meylan V. Chantry E. Eulaers C. Morgan M.E. Eyler C.S. Kochanek J. Coles P. Saha P. Magain E.E. Falco COSMOGRAIL: the COSmological MOnitoring of GRAvItational lenses. VII. Time delays and the Hubble constant from WFI J2033-4723 Astron Astrophys 2008 488 2 481 490 2008A&A..488.481V 10.1051/0004-6361:200809866
P. Wells C.D. Fassnacht C.E. Rusu TDCOSMO. XIV. Practical techniques for estimating external convergence of strong gravitational lens systems and applications to the SDSS J0924 + 0219 system Astron Astrophys 2023 676 95 2023A&A..676A.95W 10.1051/0004-6361/202346093
M.L. Wilson A.I. Zabludoff C.R. Keeton K.C. Wong K.A. Williams K.D. French I.G. Momcheva A spectroscopic survey of the fields of 28 strong gravitational lenses: implications for H0 Astrophys J 2017 850 1 94 2017ApJ..850..94W 10.3847/1538-4357/aa9653
K.C. Wong S.H. Suyu M.W. Auger V. Bonvin F. Courbin C.D. Fassnacht A. Halkola C.E. Rusu D. Sluse A. Sonnenfeld T. Treu T.E. Collett S. Hilbert L.V.E. Koopmans P.J. Marshall N. Rumbaugh H0LiCOW - IV. Lens mass model of HE 0435-1223 and blind measurement of its time-delay distance for cosmology Mon Not R Astron Soc 2017 465 4 4895 4913 2017MNRAS.465.4895W 10.1093/mnras/stw3077
K.C. Wong S.H. Suyu G.C.-F. Chen C.E. Rusu M. Millon D. Sluse V. Bonvin C.D. Fassnacht S. Taubenberger M.W. Auger S. Birrer J.H.H. Chan F. Courbin S. Hilbert O. Tihhonova T. Treu A. Agnello X. Ding I. Jee E. Komatsu A.J. Shajib A. Sonnenfeld R.D. Blandford L.V.E. Koopmans P.J. Marshall G. Meylan H0LiCOW - XIII. A 2.4 per cent measurement of H0 from lensed quasars: 5.3σ tension between early- and late-universe probes Mon Not R Astron Soc 2020 498 1 1420 1439 2020MNRAS.498.1420W 10.1093/mnras/stz3094
D. Xu D. Sluse P. Schneider V. Springel M. Vogelsberger D. Nelson L. Hernquist Lens galaxies in the Illustris simulation: power-law models and the bias of the Hubble constant from time delays Mon Not R Astron Soc 2016 456 1 739 755 2016MNRAS.456.739X 10.1093/mnras/stv2708
A. Yıldırım S.H. Suyu A. Halkola Time-delay cosmographic forecasts with strong lensing and JWST stellar kinematics Mon Not R Astron Soc 2020 493 4 4783 4807 2020MNRAS.493.4783Y 10.1093/mnras/staa498
A. Yıldırım S.H. Suyu G.C.-F. Chen E. Komatsu TDCOSMO. XIII. Cosmological distance measurements in light of the mass-sheet degeneracy: Forecasts from strong lensing and integral field unit stellar kinematics Astron Astrophys 2023 675 10.1051/0004-6361/202142318