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Unified dissipative dark matter model in a non linear Israel-Stewart theory

2019/11/11 by Miguel Cruz, Norman Cruz, Cruz, Miguel +3
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1911.04539

New results were found and the core of the paper changed completely. Now we contrast the fitting of the exact solution in the non linear approach against LCDM model using supernovae type Ia data

arxiv created 2021/09/18 · arxiv updated 2021/09/21

Abstract

In this paper we study the Statefinder and Om(x) diagnoses of an exact solution of a unified dissipative dark matter model in the framework the Israel-Stewart theory and its non linear extension, considering the condition of positive entropy production. The implementation of two diagnoses in the pair of solutions reveal that both solutions can emulate the ΛCDM model at some stage of the cosmic evolution and behave as quintessence dark energy. The stability of both solutions is discussed from the point of view of the Liapunov's method, showing that they are asymptotic stable. Additionally we show that the solutions are also stable under small perturbations. A simple analysis of the solutions with the use of observational data suggests that the non linear regime could lead to a inconsistencies-free scenario, i.e., in agreement with the bounds obtained from the perturbative analysis for the velocity of bulk viscous perturbations.

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