The 3rd international conference on particle physics and astrophysics

Stable exponential cosmological solutions with zero variation of G in the Einstein–Gauss–Bonnet model with a Λ–term

2 Oct 2017, 15:10

2h 50m

Petrovsky hall (Hotel Intourist Kolomenskoye 4*)

Poster Poster session and coffee&reception

Description

A $D$-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term $\Lambda$ is considered. By assuming diagonal cosmological metrics, we find, for certain fine-tuned $\Lambda$, a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters $H >0$ and $h < 0$, corresponding to factor spaces of dimensions $m > 3$ and $l > 1$, respectively, with $(m,l) \neq (6,6), (7,4), (9,3)$ and $D = 1 + m + l$. Any of these solutions describes an exponential expansion of 3-dimensional subspace with Hubble parameter $H$ and zero variation of the effective gravitational constant $G$. We prove the stability of these solutions in a class of cosmological solutions with diagonal metrics. This result is generalized to the case of 3 factor spaces.