[en] The generic behavior of vacuum inhomogeneous and spatially homogeneous Kaluza-Klein models is studied in the vicinity of the cosmological singularity. It is shown that, in space-time dimensions ≥ 11, the generalized Kasner solution, with monotonic power-law behavior of the spatial distances, becomes a general solution of the Einstein vacuum field equations and that, moreover, the chaotic oscillatory behavior disappears. On the other hand, the chaotic oscillatory behavior, absent in diagonal spatially homogeneous cosmological models in space-time dimensions between 5 and 10, can be reestablished when off-diagonal terms are included.
Disciplines :
Physics
Author, co-author :
Demaret, Jacques; Institut d'Astrophysique, Université de Liège
De Rop, Yves ; Département de Physique, Facultés Universitaires Notre-Dame de la Paix
Henneaux, Marc; Faculté des Sciences, Université Libre de Bruxelles ; , Centro de Estudios Cientificos de Santiago
Chodos A., Detweiler S. Physical Review D 1980, 21:2167.
Demaret J., Henneaux M., Spindel P. Physics Letters B 1985, 164:27.
Demaret J., Hanquin J.-L., Henneaux M., Spindel P. Nuclear Physics B 1985, 252:538.
Demaret J., Hanquin J.-L., Henneaux M., Spindel P., Taormina A. Physics Letters B 1986, 175:129.
Demaret J., de Rop Y., Henneaux M. Physics Letters B 1988, 211:37.
Demianski M., Golda Z.A., Heller M., Szydlowski M. Classical and Quantum Gravity 1986, 3:1199.
Demianski M., Heller M., Szydlowski M. Physical Review D 1987, 36:2945.
de Rop Y. (1988) Approche qualitative des solutions générales de modèles cosmologiques homogènes au voisinage de la singularité en relativité générale. Ph.D. Thesis, Facultés Universitaires Notre-Dame de la Paix, Namur, Belgium; .
Elskens Y. Journal of Statistical Physics 1987, 48:1269.
Elskens Y., Henneaux M. Classical and Quantum Gravity 1987, 4:L161.
Elkens Y., Henneaux M. (1987) Ergodic theory of the mixmaster model in higher space-time dimensions. Nuclear Physics B 290(20):111.
Fee G.J. Master of Mathematics Thesis, University of Waterloo, Ontario; 1979.
Furusawa T., Hosoya A. (1985) Is Anisotropic Kaluza-Klein Model of Universe Chaotic ?. Progress of Theoretical Physics 73:467.
Gilmore R. Lie Groups, Lie Algebras and Some of Their Applications , Wiley, New York; 1974, 259.
Halpern P. Physical Review D 1986, 33:354.
Henneaux M., Pilati M., Teitelboim C. Physics Letters B 1982, 110:123.
Henriques A.B., Moorhouse R.G. Physics Letters B 1987, 194:353.
Hosoya A., Jensen L.G., Stein-Schabes J.A. Nuclear Physics B 1987, 283:657.
Ishihara H. (1985) Towards Higher-Dimensional Homogeneous Cosmologies. Progress of Theoretical Physics 74:490.
Jantzen R.T. Physical Review D 1986, 34:424.
Jantzen R.T. Physical Review D 1987, 35:2034.
Jensen L.G. Physics Letters B 1987, 192:315.
Kaluza T. (1921) Sitzungsberichte der Preussiche Akademie der Wissenschaften zu Berlin. Mathematik Physik Klasse 1921:966.
Khalatnikov I.M., Lifshiftz E.M. Advances in Physics 1963, 12:195.