Bianchi type I anisotropic cosmological model with a collisionless gas

The self-consistent system of Einstein-Vlasov equations is investigated in a class of homogeneous spaces. The Bianchi Type I anisotropic cosmological model with orthogonal Killing vectors is considered in detail. It is shown that the energymomentum tensor of a collisionless gas is spatially anisotropic. Exact solutions of the Einstein-Vlasov equations are found in the case of strong anisotropy. The behavior of small perturbations is investigated for a mixture of an ideal fluid and a collisionless gas as well as for a nonrelativistic collisionless gas. © 1981 Plenum Publishing Corporation