Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology

TL;DR

This paper investigates how adding a Gauss-Bonnet term to higher-dimensional cosmological models influences the universe's evolution, revealing solutions that can be de Sitter or Kasner depending on dominant terms.

Contribution

It provides explicit solutions for higher-dimensional FRW cosmology with Gauss-Bonnet corrections, extending previous models to include extra dimensions and their compactification effects.

Findings

Solutions can be de Sitter or Kasner types

The dominant term determines the cosmological behavior

Extra dimensions influence the evolution dynamics

Abstract

We examine the effect on cosmological evolution of adding a Gauss-Bonnet term to the standard Einstein-Hilbert action for a (1 + 3)+ d dimensional Friedman-Robertson-Walker (FRW) metric. By assuming that the additional dimensions compactify as a power law as the usual 3 spatial dimensions expand, we solve the resulting dynamical equations and find that the solution may be of either de Sitter or Kasner form depending upon whether the Gauss-Bonnet term or the Einstein term dominates.