New features of flat (4+1)-dimensional cosmological model with a perfect fluid in Gauss-Bonnet gravity

TL;DR

This paper explores a flat (4+1)-dimensional cosmological model with perfect fluid matter in Gauss-Bonnet gravity, discovering new stationary regimes, their stability, and how matter influences the model's dynamics.

Contribution

It analytically finds new stationary regimes in multidimensional Gauss-Bonnet cosmology and studies their stability, extending understanding of such models with matter.

Findings

Identified new stationary regimes valid for any number of spatial dimensions.

Numerically analyzed stability of these regimes in 4+1 dimensions.

Discovered a non-singular, periodic regime near stationary solutions.

Abstract

We investigated a flat multidimensional cosmological model in Gauss-Bonnet gravity in presence of a matter in form of perfect fluid. We found analytically new stationary regimes (these results are valid for arbitrary number of spatial dimensions) and studied their stability by means of numerical recipes in 4+1-dimensional case. In the vicinity of the stationary regime we discovered numerically another non-singular regime which appears to be periodical. Finally, we demonstrated that the presence of matter in form of a perfect fluid lifts some constraints on the dynamics of the 4+1-dimensional model which have been found earlier.