Solutions of higher dimensional Gauss–Bonnet FRW cosmology |
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Authors: | Keith Andrew Brett Bolen Chad A Middleton |
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Institution: | (1) Department of Physics and Astronomy, Western Kentucky University, Bowling Green, KY 42101, USA;(2) Department of Physical and Environmental Sciences, Mesa State College, Grand Junction, CO 81501, USA |
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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. |
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Keywords: | Gauss– Bonnet Compactified extra dimensions Friedman– Robertson– Walker |
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