On stability of power-law solution in multidimensional Gauss-Bonnet cosmology

Abstract

We consider dynamics of a flat anisotropic multidimensional cosmological model in Gauss-Bonnet gravity in the presence of a homogeneous magnetic field. In particular, we find conditions under which the known power-law vacuum solution can be an attractor for the case with non-zero magnetic field. We also describe a particular class of numerical solution in $(5+1)$-dimensional case which does not approach the power-law regime.

23 pages with 6 figures

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