Research Article

General Relativity and Gravitation

, Volume 39, Issue 12, pp 2061-2071

First online:

Solutions of higher dimensional Gauss–Bonnet FRW cosmology

  • Keith AndrewAffiliated withDepartment of Physics and Astronomy, Western Kentucky University
  • , Brett BolenAffiliated withDepartment of Physics and Astronomy, Western Kentucky University Email author 
  • , Chad A. MiddletonAffiliated withDepartment of Physical and Environmental Sciences, Mesa State College

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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.


Gauss–Bonnet Compactified extra dimensions Friedman–Robertson–Walker