# Stable exponential cosmological solutions with three factor spaces in $(1+ 3 + 3 +k)$-dimensional 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 three factor spaces, demonstrating stability and specific properties like zero variation of G in certain cases.

## Contribution

It introduces new exact stable solutions with three distinct Hubble parameters in a $(7 + k)$-dimensional Einstein-Gauss-Bonnet model with a cosmological constant.

## Key findings

- Existence of stable solutions with three Hubble-like parameters.
- Solutions with zero variation of the gravitational constant G.
- Examples provided for specific dimensions k=5,6.

## Abstract

We consider a $(7 + k)$-dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. A cosmological model with three factor spaces of dimensions $3$, $3$ and $k$, $k > 2$ is considered. Exact stable solutions with three (non-coinciding) Hubble-like parameters in this model are obtained. Some examples of solutions (e.g. with zero variation of the effective gravitational constant $G$) are considered in selected dimensions (for $k = 5, 6$).