General Relativity and Gravitation

, Volume 42, Issue 11, pp 2633–2641 | Cite as

The nature of singularity in multidimensional anisotropic Gauss–Bonnet cosmology with a perfect fluid

  • I. V. Kirnos
  • A. N. Makarenko
  • S. A. Pavluchenko
  • A. V. Toporensky
Research Article

Abstract

We investigate dynamics of (4 + 1) and (5 + 1) dimensional flat anisotropic Universe filled with a perfect fluid in the Gauss–Bonnet gravity. An analytical solutions valid for particular values of the equation of state parameter w = 1/3 have been found. For other values of w structure of cosmological singularity have been studied numerically. We found that for w > 1/3 the singularity is isotropic. Several important differences between (4 + 1) and (5 + 1) dimensional cases are discussed.

Keywords

Lovelock gravity Gauss–Bonnet cosmology Anisotropic cosmological models 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • I. V. Kirnos
    • 1
  • A. N. Makarenko
    • 2
  • S. A. Pavluchenko
    • 3
  • A. V. Toporensky
    • 4
  1. 1.Tomsk State UniversityTomskRussia
  2. 2.Tomsk State Pedagogical UniversityTomskRussia
  3. 3.Special Astrophysical Observatory, Russian Academy of SciencesNizhnij ArkhyzRussia
  4. 4.Sternberg Astronomical InstituteMoscow State UniversityMoscowRussia

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