On stability of power-law solution in multidimensional Gauss-Bonnet cosmology

TL;DR

This paper investigates the stability of power-law solutions in multidimensional Gauss-Bonnet cosmology with magnetic fields, identifying conditions for attractor behavior and presenting numerical solutions that deviate from power-law regimes.

Contribution

It analyzes the stability of power-law solutions in Gauss-Bonnet gravity with magnetic fields and explores specific multidimensional cases, including numerical solutions.

Findings

Power-law vacuum solutions can be attractors under certain conditions.

Magnetic fields influence the stability of cosmological solutions.

Numerical solutions in 5+1 dimensions may not approach power-law regimes.

Abstract

We consider dynamics of a flat anisotropic multidimensional cosmological model in Gauss-Bonnet gravity in the presence of a homogeneous magnetic field. In particular, we find conditions under which the known power-law vacuum solution can be an attractor for the case with non-zero magnetic field. We also describe a particular class of numerical solution in $(5+1)$-dimensional case which does not approach the power-law regime.