Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology

Details Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology Solutions of Higher Dimensional Gauss-Bonnet FRW Cosmology

2007-08-02

arxiv.org/abs/0708.0373v2

Gen.Rel.Grav.39:2061-2071,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, references added/corrected, accepted for publication in General Relativity and Gravitation

Scientific paper

10.1007/s10714-007-0502-7

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.

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