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We consider a $D$-dimensional gravitational model with a Gauss-Bonnet termand the cosmological term $\Lambda$. We restrict the metrics to diagonalcosmological ones and find for certain $\Lambda$ a class of solutions withexponential time dependence of three scale factors, governed by threenon-coinciding Hubble-like parameters $H >0$, $h_1$ and $h_2$, corresponding tofactor spaces of dimensions $m > 2$, $k_1 > 1$ and $k_2 > 1$, respectively,with $k_1 \neq k_2$ and $D = 1 + m + k_1 + k_2$. Any of these solutionsdescribes an exponential expansion of $3d$ subspace with Hubble parameter $H$and zero variation of the effective gravitational constant $G$. We prove thestability of these solutions in a class of cosmological solutions with diagonalmetrics.

european physical journal. c, particles and fields

Stable exponential cosmological solutions with zero variation of $G$ and  three different Hubble-like parameters in the Einstein-Gauss-Bonnet model  with a $\Lambda$-term