Dynamics of Anisotropic Universes

Abstract

We present a general study of the dynamical properties of Anisotropic Bianchi Universes in the context of Einstein General Relativity. Integrability results using Kovalevskaya exponents are reported and connected to general knowledge about Bianchi dynamics. Finally, dynamics toward singularity in Bianchi type VIII and IX universes are showed to be equivalent in some precise sence.Comment: 12 pages, 6 figures, Proceedings of the Albert Einstein Century International Conference, held in Paris, France, July 18-22, 2005. to be published in AI