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Remarks on Cosmological Bulk Viscosity in Different Epochs
Open AccessArticle

Viscous Matter in FRW Cosmology

Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Kraków, Poland
Mark Kac Complex Systems Research Centre, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
Institute of Economics, Finance and Management, Jagiellonian University, Łojasiewicza 4, 30-348 Kraków, Poland
Author to whom correspondence should be addressed.
Symmetry 2020, 12(8), 1269;
Received: 27 June 2020 / Revised: 7 July 2020 / Accepted: 13 July 2020 / Published: 1 August 2020
(This article belongs to the Special Issue Viscous Cosmology)
We investigate the dynamics of dust matter with bulk viscosity effects. We explored the analogy dynamical problem to Chaplygin gas. Due to this analogy we give exact solutions for the FRW cosmology with viscosity coefficient parameterized by the Belinskii–Khalatnikov power law dependence with respect to energy density. These exact solutions are given in the form of hypergeometrical functions. We proved simple theorem which illustrated as viscosity effects can solved the initial singularity problem present in standard cosmological model. View Full-Text
Keywords: cosmological model; bulk viscosity; Chaplygin gas; dynamical systems cosmological model; bulk viscosity; Chaplygin gas; dynamical systems
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Szydłowski, M.; Krawiec, A. Viscous Matter in FRW Cosmology. Symmetry 2020, 12, 1269.

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