Anisotropic cosmological dynamics in Einstein-Gauss-Bonnet gravity: an example of dynamical compactification in 7+1 dimensions

Abstract

We consider a particular example of dynamical compactification of an anisotropic 7+1 dimensional Universe in Einstein - Gauss - Bonnet gravity. Starting from rather general totally anisotropic initial conditions a Universe in question evolves towards a product of two isotropic subspaces. The first subspace expands isotropically, the second represents an "inner" isotropic subspace with stabilized size. The dynamical evolution does not require fine-tuning of initial conditions, though it is possible for a particular range of coupling constants. The corresponding condition have been found analytically and have been confirmed using numerical integration of equations of motion.

arXiv comment11 pages, 3 figures

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• Some aspects of the cosmological dynamics in Einstein-Gauss-Bonnet gravity
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• Anisotropic Spacetimes in $f(G)$-gravity: Bianchi I, Bianchi III and Kantowski-Sachs Cosmologies
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity
• Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors