Power Asymptotes of Homogeneous Cosmological Models in Einstein's Theory of Gravitation

Completing the discussion of an earlier treatment (Borzeszkowski, Müller (1978)) homogeneous cosmological models of Bianchi-types II, III, IV, VI and the models of Kantowski-Sachs-type are investigated. All asymptotes of the metric which have a power like dependence on the synchronized time near the cosmological singularity are listed. We assume an ideal fluid as source with the flow velocity orthogonal to the slices of homogeneity, and an equation of state π = β? 0 ? β ? 1. We utilize the fact that certain Bianchi types can be obtained by a limiting process from other ones. Special anisotropic matter-dominated solutions have been found besides the well-known Kasner asymptote.