Constant volume exponential solutions in Einstein-Gauss-Bonnet flat anisotropic cosmology with a perfect fluid

Abstract

In this paper we investigate the constant volume exponential solutions (i.e. the solutions with the scale factors change exponentially over time so that the comoving volume remains the same) in the Einstein-Gauss-Bonnet gravity. We find conditions for these solutions to exist and show that they are compatible with any perfect fluid with the equation of state parameter $\omega <1/3$ if the matter density of the Universe exceeds some critical value. We write down some exact solutions which generalize ones found in our previous paper for models with a cosmological constant.

12 pages, 1 figure; matches version accepted to Gen. Rel. Grav

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• Spontaneous symmetry breaking as a result of extra dimensions compactification
• Euler-Lagrange formulas for pseudo-Kaehler manifolds
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• Avoiding Big Rip Singularities in Phantom Scalar Field theory with Gauss-Bonnet term
• Anisotropic Spacetimes in $f(G)$-gravity: Bianchi I, Bianchi III and Kantowski-Sachs Cosmologies
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• Anisotropic exponential cosmological solutions in 4th and 5th orders of Lovelock gravity