[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
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