Bianchi type I cosmological model with a viscous fluid

Abstract

Bianchi I cosmological models consisting of a fluid with both bulk and shear viscosity are studied. It is shown how the dynamical importance of the shear and the fluid density change in the course of evolution. Exact solutions with an equation of state p=ρ for a stiff fluid are also obtained in several special cases, assuming the viscosity coefficients to be the power functions of the density. The results are, in some relevant cases, compared with those of Belinskiǐ and Khalatnikov (1976) in the asymptotic limits and are seen to agree with them in that the models start with ρ=0 at the beginning and evolve with the creation of matter by the gravitational field, finally approaching the Friedmann universe.