Realistic Compactification Models in Einstein-Gauss-Bonnet Gravity

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 $\Lambda$-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 $\Lambda$-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 $\Lambda$-term ($\alpha ,\Lambda$, respectively) from other considerations, allow for the tightening of the existing constraints and forbid $\alpha <0$.

21 pages, 9 figures, published in Particles in the Special Issue Selected Papers from "The Modern Physics of Compact Stars and Relativistic Gravity 2017"

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• Stable exponential cosmological solutions with two factor spaces in the Einstein-Gauss-Bonnet model with a $\Lambda$-term
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