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

Abstract

© 2020, Springer Science+Business Media, LLC, part of Springer Nature. 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.