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A parametric model to study the mass–radius relationship of stars

Pramana volume 92, Article number: 43 (2019) Cite this article

Abstract

In static space–time, we solve the Einstein–Maxwell equations. The effective gravitational potential and the electric field for charged anisotropic fluid are defined in terms of two free parameters. For such configurations, the mass of the star as a function of stellar radius is found in terms of two aforementioned parameters subjected to certain stability criteria. For various values of these two parameters, one finds that such a mass–radius relationship can model stellar objects located at various regions of the Hertzsprung–Russel diagram.

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Acknowledgements

SI is thankful to P Tarafdar of S.N. Bose National Centre for Basic Sciences for providing some useful insights in the paper. SD is thankful to his sister Nibedita Datta for useful discussions about the cubic polynomial appearing in the paper and he is also thankful to his colleague Md. A Shaikh for helping him with the plots. TKD acknowledges the support from the Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India, in the form of a long-term visiting scientist (one-year sabbatical visitor).

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Authors and Affiliations

  1. Department of Physics, Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad, 211 019, India

    Safiqul Islam, Satadal Datta & Tapas K Das

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, 700 108, India

    Tapas K Das

Authors
  1. Safiqul Islam
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  2. Satadal Datta
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  3. Tapas K Das
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Correspondence to Safiqul Islam.

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Islam, S., Datta, S. & Das, T.K. A parametric model to study the mass–radius relationship of stars. Pramana - J Phys 92, 43 (2019). https://doi.org/10.1007/s12043-018-1704-0

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  • DOI: https://doi.org/10.1007/s12043-018-1704-0

Keywords

  • General relativity
  • relativistic star
  • electric field
  • gravitational potential
  • a–b parameter space
  • stars Hertzprung–Russel diagram

PACS Nos

  • 95.30.Sf
  • 98.80.Jk
  • 98.52.-b