Some expanding and shearing viscous fluid cosmological models in general relativity

Physics – Fluid Dynamics

Scientific paper

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Astronomical Models, Fluid Dynamics, Relativity, Viscous Fluids, Cosmology, Field Theory (Physics), Gravitational Fields, Shear Flow

Scientific paper

Two cylindrically symmmetric cosmological models representing viscous fluid distributions are developed, with the free-gravitational field of type-D in which the coefficient of shear viscosity is assumed to be proportional to the rate of expansion. The developed equations were used to obtain the pressure, density, shear, scalars of expansion, and nonvanishing components of conformal curvature tensor in the absence of viscosity. It is shown that, in the absence of viscosity, the model represents expanding, shearing, geodetic, and nonrotating universe in general. For large valules of T, the model does not approach isotropy and is also conformally flat.

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