Self-Similar Solutions of a Gravitating Dark Fluid

Imre Ferenc Barna (), Mihály András Pocsai and Gergely Gábor Barnaföldi
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Imre Ferenc Barna: Wigner Research Centre for Physics, 29-33 Konkoly–Thege Miklós Str., 1121 Budapest, Hungary
Mihály András Pocsai: Wigner Research Centre for Physics, 29-33 Konkoly–Thege Miklós Str., 1121 Budapest, Hungary
Gergely Gábor Barnaföldi: Wigner Research Centre for Physics, 29-33 Konkoly–Thege Miklós Str., 1121 Budapest, Hungary

Mathematics, 2022, vol. 10, issue 18, 1-11

Abstract: In this paper, a fluid model is presented which contains the general linear equation of state including the gravitation term. The obtained spherical symmetric Euler equation and the continuity equations were investigated with the Sedov-type time-dependent self-similar ansatz which is capable of describing physically relevant diffusive and disperse solutions. The result of the space and time-dependent fluid density and radial velocity fields are presented and analyzed. Additionally, the role of the initial velocity on the kinetic and total energy densities of the fluid is discussed. This leads to a model, which can be considered as a simple model for a dark-fluid.

Keywords: dark fluid; stiff matter; self-similar solution; analytic relativistic solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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