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

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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.

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Authors and Affiliations

  1. Tomsk State University, Tomsk, 634050, Russia

    I. V. Kirnos

  2. Tomsk State Pedagogical University, Tomsk, 634041, Russia

    A. N. Makarenko

  3. Special Astrophysical Observatory, Russian Academy of Sciences, Nizhnij Arkhyz, 369167, Russia

    S. A. Pavluchenko

  4. Sternberg Astronomical Institute, Moscow State University, Moscow, 119992, Russia

    A. V. Toporensky

Authors
  1. I. V. Kirnos
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  2. A. N. Makarenko
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  3. S. A. Pavluchenko
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  4. A. V. Toporensky
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Correspondence to S. A. Pavluchenko.

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Kirnos, I.V., Makarenko, A.N., Pavluchenko, S.A. et al. The nature of singularity in multidimensional anisotropic Gauss–Bonnet cosmology with a perfect fluid. Gen Relativ Gravit 42, 2633–2641 (2010). https://doi.org/10.1007/s10714-010-1004-6

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  • DOI: https://doi.org/10.1007/s10714-010-1004-6

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