Bianchi II, VIII, and IX viscous fluid cosmology

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Cosmology, Viscous Fluids, Anisotropy, Density Distribution, Mass Distribution, Spatial Distribution, Universe

Scientific paper

Exact solutions for a viscous fluid distribution in Bianchi II, VIII, and IX models are studied. 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 = epsilon x rho 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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