Viscous universes without initial singularity

Mathematics

Scientific paper

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Cosmology, Universe, Viscosity, Astronomical Models, Equations Of State, Singularity (Mathematics), Tensor Analysis

Scientific paper

It is shown that the introduction of bulk viscosity will remove the initial singularity in homogeneous and isotropic cosmological models filled with a mixture of matter and radiation and having density-dependent coefficients of bulk viscosity. Mathematical analysis is performed utilizing the equation of state for a mixture of noninteracting matter and radiation and the usual form of the energy-momentum tensor for an imperfect fluid. The analysis indicates that bulk viscosity appears to be an efficient mechanism for removing the initial singularity in the considered class of cosmological models.

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