Viscous FRW model with particle creation in the early universe

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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19 pages, abstract submitted to ICGC, 2011, corrected some typo errors and added one ref. in version 1, Accepted for Publicati

Scientific paper

10.1142/S0217732312500708

We discuss the dynamical effects of bulk viscosity and particle creation on the early evolution of the Friedmann -Robertson -Walker model in the framework of open thermodynamical systems. We consider bulk viscosity and Particle creation as separate irreversible processes. Exact solutions of the Einstein field equations are obtained by using the "gamma-law" equation of state $p=(\gamma -1)\rho$, where the adiabatic parameter $\gamma$ varies with scale factor of the metric. We consider the cosmological model to study the early phases of the evolution of the universe as it goes from an inflationary phase to a radiation -dominated era in the presence of bulk viscosity and particle creation. Analytical solutions are obtained for particle number density and entropy for all models. It is seen that, by choosing appropriate functions for particle creation rate and bulk viscous coefficient, the models exhibit singular and non-singular beginnings.

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