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Exact solutions of a causal viscous FRW cosmology within the Israel–Stewart theory through factorization

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Abstract

In this paper we find exact analytic cosmological solutions for a relativistic dissipative fluid, in the framework of the causal Israel–Stewart theory. We use a general expression for the relaxation time, which is related with the bulk viscosity coefficient, the energy density and pressure of the fluid, and non-adiabatic contribution to the speed of sound. Through the factorization method we find some new exact parametric solutions for the special case \(s=1/2\). For each solution the deceleration parameter, the energy density, the dissipative pressure, the entropy, and the ratio between the dissipative pressure and the fluid’s pressure are evaluated as a function of the cosmic time. We finally discuss the kinematic behavior of the solutions and their relationship with their thermodynamic behavior.

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Acknowledgements

We would like to thank the anonymous reviewer for comments and suggestions that helped us to significantly improve our work. We acknowledge the partial support to this research by COMISION NACIONAL DE CIENCIA Y TECNOLOGIA (CONICYT) through FONDECYT Grant N\(^{\circ }\) 11170083 (J.A.B.). It was also supported by the Universidad de Santiago de Chile, USACH, through Proyecto DICYT N\(^{\circ }\) 042131CM (N.C.), Vicerrectoría de Investigación, Desarrollo e Innovación. O.C.P. would like to thank PRODEP project, México, for resources and financial support. This research has no made use of any DATA.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Atacama, Avenida Copayapu 485, Copiapó, Atacama, Chile

    José Antonio Belinchón

  2. Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario Cerro de las Campanas, 76010, Santiago de Querétaro, Mexico

    Octavio Cornejo-Pérez

  3. Departamento de Física, Universidad de Santiago de Chile, Avenida Ecuador 3493, Santiago, Chile

    Norman Cruz

  4. Center for Interdisciplinary Research in Astrophysics and Space Exploration (CIRAS), Universidad de Santiago de Chile, Av. Libertador Bernardo O’Higgins 3363, Estación Central, Chile

    Norman Cruz

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  1. José Antonio Belinchón
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  3. Norman Cruz
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Correspondence to José Antonio Belinchón.

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Belinchón, J.A., Cornejo-Pérez, O. & Cruz, N. Exact solutions of a causal viscous FRW cosmology within the Israel–Stewart theory through factorization. Gen Relativ Gravit 54, 10 (2022). https://doi.org/10.1007/s10714-021-02895-z

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