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Some cosmological solutions in an arbitrary order of Lovelock gravity

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Abstract

We consider the Lovelock theory of gravity that assumes a nonlinearity of the field equations in the second-order derivatives of the metric. We prove the opportunity of obtaining cosmological solutions without isotropization in the presence of matter in the form of a perfect fluid, which is necessary for invisibility of extra dimensions that inevitably emerge in the Lovelock theory. In particular, the Jacobs solution has been generalized to an arbitrary order of the theory, and in the third order, an anisotropic exponential solution has been found.

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Authors and Affiliations

  1. Tomsk State University of Control Systems and Radioelectronics, Tomsk, Russia

    I. V. Kirnos

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  1. I. V. Kirnos
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Correspondence to I. V. Kirnos.

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Talk given at the International Conference RUSGRAV-14, June 27–July 4, 2011, Ulyanovsk, Russia.

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Kirnos, I.V. Some cosmological solutions in an arbitrary order of Lovelock gravity. Gravit. Cosmol. 18, 259–261 (2012). https://doi.org/10.1134/S0202289312040068

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  • DOI: https://doi.org/10.1134/S0202289312040068

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