# On non-exponential cosmological solutions with two factor spaces of dimensions $m$ and $ 1$ in the Einstein-Gauss-Bonnet model with a $\Lambda$-term

## TL;DR

This paper finds specific non-exponential cosmological solutions in a higher-dimensional Einstein-Gauss-Bonnet model with a cosmological constant, showing accelerated expansion of an m-dimensional space that approaches isotropy over time.

## Contribution

It introduces a new class of solutions with non-exponential time dependence in a higher-dimensional Einstein-Gauss-Bonnet framework with a cosmological constant.

## Key findings

- Solutions describe accelerated expansion of m-dimensional space
- Solutions tend asymptotically to isotropic exponential expansion
- Existence of solutions depends on a specific relation between mbda and m

## Abstract

We consider a $(m+2)$-dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. We restrict the metrics to be diagonal ones and find for certain $\Lambda = \Lambda(m)$ class of cosmological solutions with non-exponential time dependence of two scale factors of dimensions $m > 2$ and $1$. Any solutions from this class describes an accelerated expansion of $m$-dimensional subspace and tends asymptotically to isotropic solution with exponental dependence of scale factors.