On stable exponential solutions in Einstein-Gauss-Bonnet cosmology with zero variation of G

Abstract

A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term Lambda is considered. Assuming diagonal cosmological metrics, we find, for certain non-zero Lambda new examples of solutions with an exponential time dependence of two scale factors, governed by two Hubble-like parameters H > 0 and h < 0, corresponding to submanifolds of dimensions m and l, respectively, with (m,l) = (4,2), (5,2), (5,3), (6,7), (7,5), (7,6) and D = 1 + m + l. Any of these solutions describes an exponential expansion of "our" 3-dimensional factor-space with Hubble parameter H and zero variation of the effective gravitational constant G. We also prove the stability of these solutions in the class of cosmological solutions with diagonal metrics.

4 pages, Latex, corrected version of the paper published in Grav. Cosmol. Three typos for Lambda corresponding to (m,l) = (6,7), (7,5), (7,6) are eliminated

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• Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity
• Splitting into two isotropic subspaces as a result of cosmological evolution in Einstein-Gauss-Bonnet gravity
• Examples of stable exponential cosmological solutions with three factor spaces in EGB model with a $\Lambda$-term
• On variations of $G$ in the geometric scalar theory of gravity
• Exact models of pure radiation in R^2 gravity for spatially homogeneous Shapovalov spacetimes type II
• 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
• Wave-like exact models with symmetry of spatial homogeneity in the quadratic theory of gravity with a scalar field
• 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 in $(1+3+3+k)$-dimensional Einstein-Gauss-Bonnet model with a $\Lambda$-term