Splitting into two isotropic subspaces as a result of cosmological evolution in Einstein-Gauss-Bonnet gravity

Abstract

We consider numerically dynamics of a flat anisotropic Universe in Einstein-Gauss-Bonnet gravity with positive $\Lambda$ in dimensionalities 5+1 and 6+1. We identify three possible outcomes of the evolution, one singular and two nonsingular. First nonsingular outcome is oscillatory. Second is the known exponential solution. The simplest version of it is the isotropic de Sitter solution. In Gauss-Bonnet cosmology there exist also anisotropic exponential solutions. When an exponential solution being an outcome of cosmological evolution has two different Hubble parameters, the evolution leads from initially totally anisotropic stage to a sum of two isotropic subspaces. We show that such type of evolution is rather typical and possible even in the case when de Sitter solution also exists.

arXiv comment10 pages, 2 figures

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Cited by in corpus (5)

• Anisotropic cosmological dynamics in Einstein-Gauss-Bonnet gravity: an example of dynamical compactification in 7+1 dimensions
• Spontaneous symmetry breaking as a result of extra dimensions compactification
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• On the Properties of the Power-Law Cosmological Solutions in Lovelock Gravity
• Gauss-Bonnet dynamical compactification scenarios and their ghosts in the tensor sectors