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.

11 pages, Latex, 1 figure

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