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Exact analytical solution for an Israel-Stewart Cosmology

2018/12/12 by Norman Cruz, Esteban González, Cruz, Norman +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1812.05009

12 pages, 3 figures. We have partially rewritten the article emphasizing the mathematical aspects related to the new analytical solution found in the frame of a causal Israel-Stewart cosmology. The title as well as the abstract were slightly modified according to the former resubmission of the paper

arxiv created 2019/08/13 · arxiv updated 2019/08/15

Abstract

In this article we report a novel analytic solution for a cosmological model with a matter content described by a one component dissipative fluid, in the framework of the causal Israel-Stewart theory. Some physically well motivated analytical relations for the bulk viscous coefficient, the relaxation time and a bariotropic equation of state are postulated. We study within the parameter space, which label the solution, a suited region compatible with an accelerated expansion of the universe for late times, as well as stability properties of the solution at the critical parameter values γ= 1 and for s = 1/2 . We study as well the consequences that arise from the positiveness of the entropy production along the time evolution. In general, the accelerated expansion at late times is only possible when ε≥ 1/18, which implies a very large non-adiabatic contribution the speed of sound.

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