Self-Similar Solutions of a Gravitating Dark Fluid

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 desc...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-09, Vol.10 (18), p.3220
Main Authors: Barna, Imre Ferenc, Pocsai, Mihály András, Barnaföldi, Gergely Gábor
Format: Article
Language:English
Subjects:
analytic relativistic solution
Astrophysics
Continuity equation
dark fluid
Dark matter
Dimensional analysis
Energy
Equations of state
Euler-Lagrange equation
Fluid dynamics
Gravity
Linear equations
Partial differential equations
Radial velocity
Radiation
self-similar solution
Self-similarity
Spacetime
stiff matter
Time dependence
Universe
Velocity
Velocity distribution
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10183220