Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.0708.0373,
title = {Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology},
author = {Keith Andrew and Brett Bolen and Chad A. Middleton},
journal= {arXiv preprint arXiv:0708.0373},
year = {2008}
}
Comments
10 pages, references added/corrected, accepted for publication in General Relativity and Gravitation