On non-exponential cosmological solutions with two factor spaces of dimensions $m$ and $ 1$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term

Abstract

We consider a $(m+2)$-dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. We restrict the metrics to be diagonal ones and find for certain $\Lambda = \Lambda(m)$ class of cosmological solutions with non-exponential time dependence of two scale factors of dimensions $m > 2$ and $1$. Any solutions from this class describes an accelerated expansion of $m$-dimensional subspace and tends asymptotically to isotropic solution with exponental dependence of scale factors.