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

## TL;DR

This paper presents three stable exponential cosmological solutions within the Einstein-Gauss-Bonnet model with a cosmological constant, describing accelerated expansion of 3D space and potential variations in gravitational constant.

## Contribution

It provides explicit stable solutions with exponential scale factors in a higher-dimensional EGB model, including conditions for small gravitational constant variation.

## Key findings

- Three stable exponential solutions with specific subspace dimensions.
- Two solutions allow small variation of the effective gravitational constant.
- Solutions correspond to different total spacetime dimensions.

## 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 $\Lambda$.