On the Stability of Power-Law Solutions in Multidimensional Gauss–Bonnet Cosmology

摘要

We consider the dynamics of a flat anisotropicmultidimensional cosmologicalmodel 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 in the presence of a nonzero magnetic field. We also describe a particular class of numerical solutions in (5 + 1) dimensions, which does not approach a power-law regime.