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Mixmaster universe in fourth-order gravity theories
Cotsakis, S.; Demaret, Jacques; De Rop, Yves et al.
1993In Physical Review. D, Particles and Fields, 48, p. 4595-4603
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Keywords :
Particle-theory and field-theory models of the early Universe; Gravity in more than four dimensions; Kaluza-Klein theory; unified field theories; alternative theories of gravity
Abstract :
[en] We analyze the behavior of the Bianchi type-IX cosmological model in the full fourth-order theory of gravity in four space-time dimensions on approach to the singularity both analytically and numerically. By directly analyzing the full fourth-order field equations we prove explicitly that the Belinski-Khalatnikov-Lifshitz (BKL) analytic solution (and the accompanying bounce law) is also a solution to the more general case that we consider. But it appears to be nongeneric, because a perturbation analysis shows that power-law Kasner asymptotes are unstable on approach to the singularity. On the other hand, we find that the model possesses a stable isotropic monotonic power-law asymptotic solution and accordingly we show that there is a general solution which is nonchaotic near the space-time singularity. Numerical experiments confirm the existence of such a behavior. The inclusion of matter fields does not alter the evolution in the neighborhood of the singularity. The role of space-time dimensionality on the chaotic evolution of the mixmaster universe in these theories is also spelled out. In particular, we show that it is impossible to build a mixmaster universe in space-time dimensions higher than four in the full fourth-order gravity theory based on the BKL approximation scheme.
Disciplines :
Physics
Author, co-author :
Cotsakis, S.;  Department of Mathematics, University of the Aegean, Karlovasi 83200, Samos, Greece
Demaret, Jacques
De Rop, Yves ;  Institut d'Astrophysique, Université de Liège, B-4000 Liège, Belgium
Querella, L.;  Institut d'Astrophysique, Université de Liège, B-4000 Liège, Belgium
Language :
English
Title :
Mixmaster universe in fourth-order gravity theories
Publication date :
01 November 1993
Journal title :
Physical Review. D, Particles and Fields
ISSN :
0556-2821
eISSN :
1089-4918
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
48
Pages :
4595-4603
Peer reviewed :
Peer reviewed
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