Anisotropic Kaluza-Klein cosmologies

Abstract

We investigate the class of vacuum five-dimensional spatially homogeneous and anisotropic cosmological models satisfying Einstein's field equations and derive, for some of them, general or particular exact solutions. The analysis of the asymptotic behavior of these solutions shows that Chodos and Detweiler's cosmological dimensional-reduction process is possible for these models, the fifth, unphysical, dimension being allowed to contract to a very small scale.