Stable exponential cosmological solutions with zero variation of G in the Einstein-Gauss-Bonnet model with A-term

A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term is considered. By assuming diagonal cosmological metrics, we find, for a certain fine-tuned , a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters and , corresponding to factor spaces of dimensions and , respectively, with and . Any of these solutions describes an exponential expansion of three-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.