Stable exponential cosmological solutions with zero variation of $G$ and three different Hubble-like parameters in the Einstein-Gauss-Bonnet model with a $\Lambda$-term

Abstract

We consider a $D$-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term $\Lambda$. We restrict the metrics to diagonal cosmological ones and find for certain $\Lambda$ a class of solutions with exponential time dependence of three scale factors, governed by three non-coinciding Hubble-like parameters $H>0$, $h_1$ and $h_2$, corresponding to factor spaces of dimensions $m>2$, $k_1>1$ and $k_2>1$, respectively, with $k_1\ne k_2$ and $D=1+m+k_1+k_2$. Any of these solutions describes an exponential expansion of $3d$ 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.

arXiv comment16 pages, Latex, no figures, prepared for a talk at 16th Russian Gravitational Conference - International Conference on General Relativity, Cosmology and Astrophysics (Kaliningrad, 24-30 June); several typos are eliminated

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• Stable exponential cosmological solutions with two factor spaces in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity
• Examples of stable exponential cosmological solutions with three factor spaces in EGB model with a $\Lambda$-term
• Stable exponential cosmological solutions with three different Hubble-like parameters in EGB model with a $\Lambda$-term
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• On non-exponential cosmological solutions with two factor spaces of dimensions $m$ and $1$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Examples of exact exponential cosmological solutions with three isotropic subspaces in the Einstein-Gauss-Bonnet gravity
• A small cosmological constant from a large number of extra dimensions
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity
• Stable exponential cosmological solutions with three factor spaces of dimensions $m=3$, $k_1=k$ and $k_2=k$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
• Stable exponential cosmological solutions with three factor spaces in $(1+3+3+k)$-dimensional Einstein-Gauss-Bonnet model with a $\Lambda$-term