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Model Astrophysical Configurations with the Equation of State of Chaplygin Gas

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Abstract

We use the Tolman–Oppenheimer–Volkoff equations for a Chaplygin type fluid to study, analytically and numerically, the global behavior of static solutions of spherically symmetric objects. Two possible regimes are especially investigated. The first one is the phantom regime in which the pressure module exceeds the energy density. In this case the equator is absent and all the solutions have the geometry of a truncated spheroid with the same kind of singularity. The second case is the normal regime for which we determine all the solutions, excluding the de Sitter one, corresponding to a tri-dimensional spheroidal geometry. Beyond the equator, three possible cases are considered; the first case has a closed spheroid characterized by a Schwarzschild-kind singularity with an infinite blue-shift at the south pole, the second case configuration has a regular spheroid and the third case has configuration of a truncated spheroid having a scalar curvature singularity to a finite value of the radial distance. We also compare all the geometric configurations with ones obtained in the special case of Chaplygin gas.

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Authors and Affiliations

  1. Laboratory of High Energy Physics and Condensed Matter (LPHEMaC), Department of Physics, Faculty of Sciences Aïn Chock, University of Hassan II, B.P.5366, Mâarif, Casablanca, Morocco

    Abdelghani Errehymy & Mohammed Daoud

  2. Abdus Salam International Centre for Theoretical Physics, Miramare, Trieste, Italy

    Mohammed Daoud

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  1. Abdelghani Errehymy
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  2. Mohammed Daoud
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Correspondence to Abdelghani Errehymy.

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Errehymy, A., Daoud, M. Model Astrophysical Configurations with the Equation of State of Chaplygin Gas. Found Phys 49, 144–175 (2019). https://doi.org/10.1007/s10701-019-00237-3

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