Stable exponential cosmological solutions with three factor spaces of dimensions $m=3$, $k_1=k$ and $k_2 = k$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term

TL;DR

This paper finds exact stable solutions in a higher-dimensional Einstein-Gauss-Bonnet cosmological model with a cosmological constant, featuring three factor spaces including our 3D universe and two internal subspaces of equal dimension.

Contribution

It introduces new stable exponential solutions with three constant Hubble parameters in a $(4+2k)$-dimensional Einstein-Gauss-Bonnet model with a $\Lambda$-term, involving two internal subspaces of equal dimension.

Findings

Exact stable solutions with three constant Hubble-like parameters.

Model includes three factor spaces: our universe and two internal spaces.

Solutions are stable under certain conditions.

Abstract

We consider a $(4 + 2k)$ - dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. Exact stable solutions with three constant Hubble-like parameters in this model are obtained. In this case, the multidimensional cosmological model deals with three factor spaces: the external 3-dimensional "our" world and internal subspaces with dimensions $k_1 = k$ and $k_2=k$.