BIANCHI-II, BIANCHI-VIII, AND BIANCHI-IX VISCOUS-FLUID COSMOLOGY

In this paper we study the exact solutions for a viscous fluid distribution in Bianchi II, VIII, and IX models. The metric is simplified by assuming a relationship between the coefficients of the metric tensor. Solutions are obtained in two special cases: in one an additional assumption is made where the matter density and the expansion scalar have a definite relation and in the other a barotropic equation of state of the form p=ερ is assumed. While the Bianchi II solutions are already found in the literature the other two classes of solutions are apparently new. © 1990 Kluwer Academic Publishers.