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Bianchi II,VIII, and IX viscous fluid cosmology
Authors:A Banerjee  Abhik Kumar Sanyal  Subenoy Chakraborty
Institution:(1) Department of Physics, Jadavpur University, Calcutta, India;(2) Department of Mathematics, Jadavpur University, Calcutta, India;(3) Present address: Department of Physics, Jangipur College, P.O. Jangipur, Dt. Murshidabad, West Bengal, India
Abstract: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 formp=epsirgr is assumed. While the Bianchi II solutions are already found in the literature the other two classes of solutions are apparently new.
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