Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-11-14
Phys.Lett.B661:162-166,2008
Physics
High Energy Physics
High Energy Physics - Theory
6 latex pages, 4 eps figures, typos corrected and references added, final version to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2008.01.070
In this paper, we analyze the viability of a vacuum Gauss-Bonnet cosmology by examining the dynamics of the homogeneous and anisotropic background in 4+1 dimensions. The trajectories of the system either originate from the standard singularity or from non-standard type, the later is characterized by the divergence of time derivative of the Hubble parameters for its finite value. At the onset, the system should relax to Einstein phase at late times as the effect of Gauss-Bonnet term becomes negligible in the low energy regime. However, we find that most of the trajectories emerging from the standard big-bang singularity lead to future re-collapse whereas the system beginning its evolution from the non-standard singularity enters the Kasner regime at late times. This leads to the conclusion that the measure of trajectories giving rise to a smooth evolution from a standard singularity to the Einstein phase is negligibly small for generic initial conditions.
Chingangbam R.
Sami M.
Toporensky Alexey V.
Tretyakov Petr V.
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