Spatially homogeneous cosmological models

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmology, Relativity, Space-Time Functions, Viscosity, Energy Dissipation, Energy Distribution, Ideal Fluids, Viscous Fluids

Scientific paper

Nonviscous and viscous fluids in Bianchi types II, VIII, and IX space-times under the restriction that the ratio of shear to expansion be constant are studied. For Bianchi type II universes with perfect fluid distributions, cases exist in which the model explodes from the initial singularity of infinitely large energy density and zero proper volume and monotonically expands towards vanishing small density. The Hawking-Penrose energy condition is adhered to in all cases for an expanding model. For a Bianchi type II universe with a viscous fluid, in the case of lambda = 2, the model collapses or expands monotonically since oscillation is not possible. For a contracting model with positive energy density, the contraction rate increases over time and the energy density increases indefinitely. The Hawking-Penrose energy condition is unsatisfied at all stages of collapse. In an expanding model the behavior is different on account of viscosity.

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