Solutions of higher dimensional Gauss–Bonnet FRW cosmology

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• 作者：Keith Andrew ; Brett Bolen ; Chad A. Middleton
• 关键词：Gauss–Bonnet ; Compactified extra dimensions ; Friedman–Robertson–Walker
• 刊名：General Relativity and Gravitation
• 出版年：2007
• 出版时间：December, 2007
• 年：2007
• 卷：39
• 期：12
• 页码：2061-2071
• 全文大小：158.4 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

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.