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Self-Similar Solutions of a Gravitating Dark Fluid

Author

Listed:
  • Imre Ferenc Barna

    (Wigner Research Centre for Physics, 29-33 Konkoly–Thege Miklós Str., 1121 Budapest, Hungary
    These authors contributed equally to this work.)

  • Mihály András Pocsai

    (Wigner Research Centre for Physics, 29-33 Konkoly–Thege Miklós Str., 1121 Budapest, Hungary
    Institute of Physics, Department of Physics, University of Pécs, 6 Ifjúság Útja, 7624 Pécs, Hungary
    These authors contributed equally to this work.)

  • Gergely Gábor Barnaföldi

    (Wigner Research Centre for Physics, 29-33 Konkoly–Thege Miklós Str., 1121 Budapest, Hungary
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Imre Ferenc Barna & Mihály András Pocsai & Gergely Gábor Barnaföldi, 2022. "Self-Similar Solutions of a Gravitating Dark Fluid," Mathematics, MDPI, vol. 10(18), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3220-:d:907661
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    References listed on IDEAS

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    1. John A. Peacock & Shaun Cole & Peder Norberg & Carlton M. Baugh & Joss Bland-Hawthorn & Terry Bridges & Russell D. Cannon & Matthew Colless & Chris Collins & Warrick Couch & Gavin Dalton & Kathryn Dee, 2001. "A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey," Nature, Nature, vol. 410(6825), pages 169-173, March.
    2. Jenny Hogan, 2007. "Welcome to the dark side," Nature, Nature, vol. 448(7151), pages 240-245, July.
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