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Particles 2018, 1(1), 36-55; https://doi.org/10.3390/particles1010004

Realistic Compactification Models in Einstein–Gauss–Bonnet Gravity

Programa de Pós-Graduação em Física, Universidade Federal do Maranhão (UFMA), 65085-580 São Luís, Maranhão, Brazil
Received: 30 January 2018 / Revised: 15 February 2018 / Accepted: 28 February 2018 / Published: 4 March 2018
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Abstract

We report the results of a study on the dynamical compactification of spatially flat cosmological models in Einstein–Gauss–Bonnet gravity. The analysis was performed in the arbitrary dimension in order to be more general. We consider both vacuum and Λ -term cases. Our results suggest that for vacuum case, realistic compactification into the Kasner (power law) regime occurs with any number of dimensions (D), while the compactification into the exponential solution occurs only for D 2 . For the Λ -term case only compactification into the exponential solution exists, and it only occurs for D 2 as well. Our results, combined with the bounds on Gauss–Bonnet coupling and the Λ -term ( α , Λ , respectively) from other considerations, allow for the tightening of the existing constraints and forbid α < 0 . View Full-Text
Keywords: modified gravity; extra-dimensional models; cosmology; lovelock gravity; Gauss–Bonnet gravity modified gravity; extra-dimensional models; cosmology; lovelock gravity; Gauss–Bonnet gravity
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Pavluchenko, S. Realistic Compactification Models in Einstein–Gauss–Bonnet Gravity. Particles 2018, 1, 36-55.

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