Entropy per particle in the early Bianchi type-I Universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Cosmology, Entropy, Particle Energy, Universe, Anisotropy, Energy Dissipation, Kinetic Theory, Leptons, Metric Space, Relativistic Theory, Viscosity

Scientific paper

The paper considers the behavior of the radiation entropy per particle in the early stage of the Universe according to the Bianchi type I model in which there are nonvanishing terms for the shear viscosity in the energy-momentum tensor. The viscosity coefficient is an exponential function of temperature. The Einstein equations are rewritten in such a manner that the influence of dissipation on isotropization can be analyzed. Results of the analysis reveal that, in the framework of the considered model, the effects of shear viscosity appear to be significant only under very special initial conditions for the dissipation parameter and for a temperature exponent less than unity; in such a case, the radiation entropy increases in the course of evolution by a substantial factor. The expansion is practically isentropic in all the remaining cases. The dissipation parameters are found for the lepton and radiation eras.

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