General Relativity and Gravitation

, Volume 39, Issue 12, pp 2061–2071

Solutions of higher dimensional Gauss–Bonnet FRW cosmology

Authors

  • Keith Andrew
    • Department of Physics and AstronomyWestern Kentucky University
    • Department of Physics and AstronomyWestern Kentucky University
  • Chad A. Middleton
    • Department of Physical and Environmental SciencesMesa State College
Research Article

DOI: 10.1007/s10714-007-0502-7

Cite this article as:
Andrew, K., Bolen, B. & Middleton, C.A. Gen Relativ Gravit (2007) 39: 2061. doi:10.1007/s10714-007-0502-7

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.

Keywords

Gauss–BonnetCompactified extra dimensionsFriedman–Robertson–Walker

Copyright information

© Springer Science+Business Media, LLC 2007