T. Damour and G. Esposito-Farese, Classical Quantum Gravity 9, 2093 (1992). CQGRDG 0264-9381 10.1088/0264-9381/9/9/015
P. C. C. Freire, N. Wex, G. Esposito-Farèse, J. P. W. Verbiest, M. Bailes, B. A. Jacoby, M. Kramer, I. H. Stairs, J. Antoniadis, and G. H. Janssen, Mon. Not. R. Astron. Soc. 423, 3328 (2012). MNRAA4 0035-8711 10.1111/j.1365-2966.2012.21253.x
K. Schwarzschild, Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 1916, 189 (1916).
R. P. Kerr, Phys. Rev. Lett. 11, 237 (1963). PRLTAO 0031-9007 10.1103/PhysRevLett.11.237
B. P. Abbott (LIGO Scientific Collaboration and Virgo Collaboration), Living Rev. Relativ. 19, 1 (2016). 1433-8351 10.1007/lrr-2016-1
A. Buonanno and T. Damour, Phys. Rev. D 59, 084006 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.084006
A. Buonanno and T. Damour, Phys. Rev. D 62, 064015 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.064015
T. Damour, P. Jaranowski, and G. Schaefer, Phys. Rev. D 78, 024009 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.78.024009
T. Damour and A. Nagar, Phys. Rev. D 79, 081503 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.79.081503
E. Barausse and A. Buonanno, Phys. Rev. D 81, 084024 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.81.084024
F. Pretorius, Phys. Rev. Lett. 95, 121101 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.121101
M. Campanelli, C. O. Lousto, P. Marronetti, and Y. Zlochower, Phys. Rev. Lett. 96, 111101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111101
J. G. Baker, J. Centrella, D.-I. Choi, M. Koppitz, and J. van Meter, Phys. Rev. Lett. 96, 111102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111102
C. V. Vishveshwara, Nature (London) 227, 936 (1970). NATUAS 0028-0836 10.1038/227936a0
W. H. Press, Astrophys. J. 170, L105 (1971). ASJOAB 0004-637X 10.1086/180849
S. Chandrasekhar and S. L. Detweiler, Proc. R. Soc. A 344, 441 (1975). PRLAAZ 1364-5021 10.1098/rspa.1975.0112
Y. Pan, A. Buonanno, J. G. Baker, J. Centrella, B. J. Kelly, S. T. McWilliams, F. Pretorius, and J. R. van Meter, Phys. Rev. D 77, 024014 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.77.024014
P. Ajith, Phys. Rev. D 77, 104017 (2008); PRVDAQ 1550-7998 10.1103/PhysRevD.77.104017
P. Ajith Phys. Rev. D 79, 129901(E) (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.79.129901
P. Ajith, Phys. Rev. Lett. 106, 241101 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.241101
L. Santamaria, Phys. Rev. D 82, 064016 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.82.064016
A. Taracchini, Phys. Rev. D 89, 061502 (2014). PRVDAQ 1550-7998 10.1103/PhysRevD.89.061502
A. H. Mroué, Phys. Rev. Lett. 111, 241104 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.241104
S. E. Field, C. R. Galley, J. S. Hesthaven, J. Kaye, and M. Tiglio, Phys. Rev. X 4, 031006 (2014). PRXHAE 2160-3308 10.1103/PhysRevX.4.031006
M. Pürrer, Phys. Rev. D 93, 064041 (2016). PRVDAQ 2470-0010 10.1103/PhysRevD.93.064041
S. Husa, S. Khan, M. Hannam, M. Pürrer, F. Ohme, X. J. Forteza, and A. Bohé, Phys. Rev. D 93, 044006 (2016). PRVDAQ 2470-0010 10.1103/PhysRevD.93.044006
S. Khan, S. Husa, M. Hannam, F. Ohme, M. Pürrer, X. J. Forteza, and A. Bohé, Phys. Rev. D 93, 044007 (2016). PRVDAQ 2470-0010 10.1103/PhysRevD.93.044007
M. Hannam, P. Schmidt, A. Bohé, L. Haegel, S. Husa, F. Ohme, G. Pratten, and M. Pürrer, Phys. Rev. Lett. 113, 151101 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.151101
P. Kumar, T. Chu, H. Fong, H. P. Pfeiffer, M. Boyle, D. A. Hemberger, L. E. Kidder, M. A. Scheel, and B. Szilágyi, arXiv:1601.05396 [Phys. Rev. D (to be published)].
B. Bruegmann, J. A. Gonzalez, M. Hannam, S. Husa, U. Sperhake, and W. Tichy, Phys. Rev. D 77, 024027 (2008). PRVDAQ 1550-7998 10.1103/PhysRevD.77.024027
R. O'Shaughnessy, L. London, J. Healy, and D. Shoemaker, Phys. Rev. D 87, 044038 (2013). PRVDAQ 1550-7998 10.1103/PhysRevD.87.044038
M. A. Scheel, M. Giesler, D. A. Hemberger, G. Lovelace, K. Kuper, M. Boyle, B. Szilágyi, and L. E. Kidder, Classical Quantum Gravity 32, 105009 (2015). CQGRDG 0264-9381 10.1088/0264-9381/32/10/105009
T. Chu, H. Fong, P. Kumar, H. P. Pfeiffer, M. Boyle, D. A. Hemberger, L. E. Kidder, M. A. Scheel, and B. Szilágyi, arXiv:1512.06800.
C. O. Lousto, J. Healy, and H. Nakano, Phys. Rev. D 93, 044031 (2016). PRVDAQ 2470-0010 10.1103/PhysRevD.93.044031
B. Szilágyi, J. Blackman, A. Buonanno, A. Taracchini, H. P. Pfeiffer, M. A. Scheel, T. Chu, L. E. Kidder, and Y. Pan, Phys. Rev. Lett. 115, 031102 (2015). PRLTAO 0031-9007 10.1103/PhysRevLett.115.031102
P. Schmidt, I. Harry, and H. Pfeiffer, Report No. LIGO-T1500606, 2016.
B. P. Abbott (LIGO Scientific and Virgo Collaborations), Report No. LIGO-P1500229, 2016;
B. P. Abbott arXiv:1602.03843.
J. Veitch, Phys. Rev. D 91, 042003 (2015). PRVDAQ 1550-7998 10.1103/PhysRevD.91.042003
N. J. Cornish and T. B. Littenberg, Classical Quantum Gravity 32, 135012 (2015). CQGRDG 0264-9381 10.1088/0264-9381/32/13/135012
M. Vallisneri and N. Yunes, Phys. Rev. D 87, 102002 (2013). PRVDAQ 1550-7998 10.1103/PhysRevD.87.102002
S. Vitale and W. Del Pozzo, Phys. Rev. D 89, 022002 (2014). PRVDAQ 1550-7998 10.1103/PhysRevD.89.022002
T. A. Apostolatos, Phys. Rev. D 52, 605 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.605
N. Cornish, L. Sampson, N. Yunes, and F. Pretorius, Phys. Rev. D 84, 062003 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.062003
M. Vallisneri, Phys. Rev. D 86, 082001 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.082001
J. Healy, C. O. Lousto, and Y. Zlochower, Phys. Rev. D 90, 104004 (2014). PRVDAQ 1550-7998 10.1103/PhysRevD.90.104004
A. Ghosh, A. Ghosh, N. K. Johnson-McDaniel, C. K. Mishra, P. Ajith, W. Del Pozzo, D. A. Nichols, Y. Chen, A. B. Nielsen, C. P. L. Berry, arXiv:1602.02453.
B. Allen, Phys. Rev. D 71, 062001 (2005). PRVDAQ 1550-7998 10.1103/PhysRevD.71.062001
Y. Pan, A. Buonanno, M. Boyle, L. T. Buchman, L. E. Kidder, H. P. Pfeiffer, and M. A. Scheel, Phys. Rev. D 84, 124052 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.84.124052
E. Berti, V. Cardoso, and C. M. Will, Phys. Rev. D 73, 064030 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.73.064030
O. Dreyer, B. J. Kelly, B. Krishnan, L. S. Finn, D. Garrison, and R. Lopez-Aleman, Classical Quantum Gravity 21, 787 (2004). CQGRDG 0264-9381 10.1088/0264-9381/21/4/003
A. Buonanno, G. B. Cook, and F. Pretorius, Phys. Rev. D 75, 124018 (2007). PRVDAQ 1550-7998 10.1103/PhysRevD.75.124018
E. Berti, V. Cardoso, J. A. Gonzalez, U. Sperhake, M. Hannam, S. Husa, and B. Bruegmann, Phys. Rev. D 76, 064034 (2007). PRVDAQ 1550-7998 10.1103/PhysRevD.76.064034
I. Kamaretsos, M. Hannam, S. Husa, and B. S. Sathyaprakash, Phys. Rev. D 85, 024018 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.85.024018
W. Israel, Phys. Rev. 164, 1776 (1967). PHRVAO 0031-899X 10.1103/PhysRev.164.1776
B. Carter, Phys. Rev. Lett. 26, 331 (1971). PRLTAO 0031-9007 10.1103/PhysRevLett.26.331
S. Gossan, J. Veitch, and B. S. Sathyaprakash, Phys. Rev. D 85, 124056 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.85.124056
J. Meidam, M. Agathos, C. Van Den Broeck, J. Veitch, and B. S. Sathyaprakash, Phys. Rev. D 90, 064009 (2014). PRVDAQ 1550-7998 10.1103/PhysRevD.90.064009
S. W. Hawking, Phys. Rev. Lett. 26, 1344 (1971). PRLTAO 0031-9007 10.1103/PhysRevLett.26.1344
J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973). CMPHAY 0010-3616 10.1007/BF01645742
L. Blanchet and G. Schaefer, Classical Quantum Gravity 10, 2699 (1993). CQGRDG 0264-9381 10.1088/0264-9381/10/12/026
J. Lense and H. Thirring, Phys. Z. 19, 156 (1918). PHZTAO 0369-982X
B. M. Barker and R. F. O'Connell, Phys. Rev. D 12, 329 (1975). PRVDAQ 0556-2821 10.1103/PhysRevD.12.329
L. E. Kidder, Phys. Rev. D 52, 821 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.821
L. Blanchet and B. S. Sathyaprakash, Classical Quantum Gravity 11, 2807 (1994). CQGRDG 0264-9381 10.1088/0264-9381/11/11/020
L. Blanchet, T. Damour, and B. R. Iyer, Phys. Rev. D 51, 5360 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.5360
L. Blanchet and B. S. Sathyaprakash, Phys. Rev. Lett. 74, 1067 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.1067
K. G. Arun, B. R. Iyer, M. S. S. Qusailah, and B. S. Sathyaprakash, Phys. Rev. D 74, 024006 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.74.024006
C. K. Mishra, K. G. Arun, B. R. Iyer, and B. Sathyaprakash, Phys. Rev. D 82, 064010 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.82.064010
N. Yunes and F. Pretorius, Phys. Rev. D 80, 122003 (2009). PRVDAQ 1550-7998 10.1103/PhysRevD.80.122003
T. G. F. Li, W. Del Pozzo, S. Vitale, C. Van Den Broeck, M. Agathos, J. Veitch, K. Grover, T. Sidery, R. Sturani, and A. Vecchio, Phys. Rev. D 85, 082003 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.85.082003
M. Agathos, W. Del Pozzo, T. G. F. Li, C. Van Den Broeck, J. Veitch, and S. Vitale, Phys. Rev. D 89, 082001 (2014). PRVDAQ 1550-7998 10.1103/PhysRevD.89.082001
N. Yunes and S. A. Hughes, Phys. Rev. D 82, 082002 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.82.082002
N. Yunes and X. Siemens, Living Rev. Relativ. 16, 9 (2013). 1433-8351 10.12942/lrr-2013-9
A. Pai and K. G. Arun, Classical Quantum Gravity 30, 025011 (2013). CQGRDG 0264-9381 10.1088/0264-9381/30/2/025011
Because of the normalization of the prior probability distributions, the Bayes factors include a penalty factor-the so-called Occam factor-for models that have more parameters. The wider the prior range for the additional parameters, the more severe the penalization. Therefore, different choices for (Equation presented) would lead to different numerical values of (Equation presented). To fully establish the significance of the Bayes factors, validation studies [85,86] would be necessary and will be presented in forthcoming studies.
C. de Rham, Living Rev. Relativ. 17, 7 (2014). 1433-8351 10.12942/lrr-2014-7
C. Talmadge, J. P. Berthias, R. W. Hellings, and E. M. Standish, Phys. Rev. Lett. 61, 1159 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.1159
C. M. Will, Phys. Rev. D 57, 2061 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.57.2061
R. Brito, V. Cardoso, and P. Pani, Phys. Rev. D 88, 023514 (2013). PRVDAQ 1550-7998 10.1103/PhysRevD.88.023514
A. S. Goldhaber and M. M. Nieto, Phys. Rev. D 9, 1119 (1974). PRVDAQ 0556-2821 10.1103/PhysRevD.9.1119
S. R. Choudhury, G. C. Joshi, S. Mahajan, and B. H. J. McKellar, Astropart. Phys. 21, 559 (2004). APHYEE 0927-6505 10.1016/j.astropartphys.2004.04.001
L. S. Finn and P. J. Sutton, Phys. Rev. D 65, 044022 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.044022
D. Keppel and P. Ajith, Phys. Rev. D 82, 122001 (2010). PRVDAQ 1550-7998 10.1103/PhysRevD.82.122001
W. Del Pozzo, J. Veitch, and A. Vecchio, Phys. Rev. D 83, 082002 (2011). PRVDAQ 1550-7998 10.1103/PhysRevD.83.082002
P. A. R. Ade (Planck Collaboration), arXiv:1502.01589.
D. M. Eardley, D. L. Lee, A. P. Lightman, R. V. Wagoner, and C. M. Will, Phys. Rev. Lett. 30, 884 (1973). PRLTAO 0031-9007 10.1103/PhysRevLett.30.884
Y. Aso, Y. Michimura, K. Somiya, M. Ando, O. Miyakawa, T. Sekiguchi, D. Tatsumi, and H. Yamamoto (KAGRA Collaboration), Phys. Rev. D 88, 043007 (2013). PRVDAQ 1550-7998 10.1103/PhysRevD.88.043007
B. Iyer (IndIGO Consortium), Report No. LIGO-M1100296, 2011.
T. Jacobson and D. Mattingly, Phys. Rev. D 64, 024028 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.024028
S. Alexander and N. Yunes, Phys. Rep. 480, 1 (2009). PRPLCM 0370-1573 10.1016/j.physrep.2009.07.002
S. L. Liebling and C. Palenzuela, Living Rev. Relativ. 15, 6 (2012). 1433-8351 10.12942/lrr-2012-6
P. O. Mazur and E. Mottola, Proc. Natl. Acad. Sci. U.S.A. 101, 9545 (2004). PNASA6 0027-8424 10.1073/pnas.0402717101
B. P. Abbott (LIGO Scientific and Virgo Collaborations), Report No. LIGO-P1500217, 2016;