On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constant

Abstract

A D-dimensional gravitational model with Gauss-Bonnet term is considered. When ansatz with diagonal cosmological type metrics is adopted, we find solutions with exponential dependence of scale factors (with respect to "synchronous-like" variable) which describe an exponential expansion of "our" 3-dimensional factor-space and obey the observational constraints on the temporal variation of effective gravitational constant G. Among them there are two exact solutions in dimensions D = 22, 28 with constant G and also an infinite series of solutions in dimensions D \ge 2690 with the variation of G obeying the observational data.

21 pages, 12 figures, LaTex; eq. (2.1) is modified, several sentences are added, a typo in eq. (3.13) is eliminated

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• 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
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity
• Wave-like exact models with symmetry of spatial homogeneity in the quadratic theory of gravity with a scalar field
• Stable exponential cosmological solutions with three factor spaces in $(1+3+3+k)$-dimensional Einstein-Gauss-Bonnet model with a $\Lambda$-term