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 $Λ$-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 $D \geqslant 2$. For the $Λ$-term case only compactification into the exponential solution exists, and it only occurs for $D \geqslant 2$