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Chinese Physics C> 2018, Vol. 42> Issue(5) : 055101 DOI: 10.1088/1674-1137/42/5/055101

Relativistic compact stars with charged anisotropic matter

  • 1.

      Department of Mathematical &

  • 2.

      Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa

  • 3.

      School of Science, Walailak University, Nakhon Si Thammarat, 80160 Thailand

  • In this article, we perform a detailed theoretical analysis of new exact solutions with anisotropic fluid distribution of matter for compact objects subject to hydrostatic equilibrium. We present a family solution to the Einstein-Maxwell equations describing a spherically symmetric, static distribution of a fluid with pressure anisotropy. We implement an embedding class one condition to obtain a relation between the metric functions. We generalize the properties of a spherical star with hydrostatic equilibrium using the generalised Tolman-Oppenheimer-Volkoff (TOV) equation. We match the interior solution to an exterior Reissner-Nordström one, and study the energy conditions, speed of sound, and mass-radius relation of the star. We also show that the obtained solutions are compatible with observational data for the compact object Her X-1. Regarding our results, the physical behaviour of the present model may serve for the modeling of ultra compact objects.
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S. K. Maurya, Ayan Banerjee and Phongpichit Channuie. Relativistic compact stars with charged anisotropic matter[J]. Chinese Physics C, 2018, 42(5): 055101. doi: 10.1088/1674-1137/42/5/055101
S. K. Maurya, Ayan Banerjee and Phongpichit Channuie. Relativistic compact stars with charged anisotropic matter[J]. Chinese Physics C, 2018, 42(5): 055101.  doi: 10.1088/1674-1137/42/5/055101 shu
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Received: 2018-02-04
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Relativistic compact stars with charged anisotropic matter

    Corresponding author: S. K. Maurya,
    Corresponding author: Ayan Banerjee,
    Corresponding author: Phongpichit Channuie,
  • 1.  Department of Mathematical &
  • 2.  Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa
  • 3.  School of Science, Walailak University, Nakhon Si Thammarat, 80160 Thailand
  • Received Date: 2018-02-04
  • Available Online: 2018-05-05

Abstract: In this article, we perform a detailed theoretical analysis of new exact solutions with anisotropic fluid distribution of matter for compact objects subject to hydrostatic equilibrium. We present a family solution to the Einstein-Maxwell equations describing a spherically symmetric, static distribution of a fluid with pressure anisotropy. We implement an embedding class one condition to obtain a relation between the metric functions. We generalize the properties of a spherical star with hydrostatic equilibrium using the generalised Tolman-Oppenheimer-Volkoff (TOV) equation. We match the interior solution to an exterior Reissner-Nordström one, and study the energy conditions, speed of sound, and mass-radius relation of the star. We also show that the obtained solutions are compatible with observational data for the compact object Her X-1. Regarding our results, the physical behaviour of the present model may serve for the modeling of ultra compact objects.

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