Examples of stable exponential cosmological solutions with three factor spaces in EGB model with a $\Lambda$-term

Abstract

We deal with Einstein-Gauss-Bonnet model in dimension $D$ with a $\Lambda$-term. We obtain three stable cosmological solutions with exponential behavior (in time) of three scale factors corresponding to subspaces of dimensions $(l_0,l_1,l_2)=(3,4,4),(3,3,2),(3,4,3)$ and $D=12,9,11$, respectively. Any solution may describe an exponential expansion of $3$-dimensional subspace governed by Hubble parameter $H$. Two of them may also describe a small enough variation of the effective gravitational constant $G$ (in Jordan frame) for certain values of $\Lambda$.

9 pages, Latex, certain editing of the text (mainly in Abstract, Introduction and Conclusions) is done; few phrases and words are deleted; one reference is added

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