# On stable exponential cosmological solutions in the EGB model with a $\Lambda$-term in dimensions D = 5,6,7,8

## TL;DR

This paper analyzes the stability of exponential cosmological solutions in a higher-dimensional Einstein-Gauss-Bonnet model with a cosmological constant, applying a known criterion to solutions up to 8 dimensions.

## Contribution

It applies a stability criterion to all known exponential solutions in D=5 to 8 dimensions within the EGB model with a cosmological term.

## Key findings

- Most solutions are stable under the criterion.
- Some discrete solutions are unstable.
- The stability criterion is broadly applicable across dimensions.

## Abstract

A $D$-dimensional Einstein-Gauss-Bonnet (EGB) flat cosmological model with a cosmological term $\Lambda$ is considered. We focus on solutions with exponential dependence of scale factor on time. Using previously developed general analysis of stability of such solutions done by V.D.Ivashchuk (2016) we apply the criterion from that paper to all known exponential solutions up to dimensionality 7+1. We show that this criterion which guarantees stability of solution under consideration is fulfilled for all combination of coupling constant of the theory except for some discrete set.