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Stellar models with generalized pressure anisotropy

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Abstract

New models for a charged anisotropic star in general relativity are found. We consider a linear equation of state consistent with a strange quark star. In our models a new form of measure of anisotropy is formulated; our choice is a generalization of other pressure anisotropies found in the past by other researchers. Our results generalize quark star models obtained from the Einstein–Maxwell equations. Well-known particular charged models are also regained. We indicate that relativistic stellar masses for several stars are obtained using the general mass function found in our model.

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Acknowledgements

We are grateful to the University of Dodoma in Tanzania for the favourable environment and availability of facilities for research. SDM acknowledges that this work is based on research supported by the South African Research Chair Initiative of the Department of Science and Technology and the National Research Foundation.

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Authors and Affiliations

  1. Department of Mathematics, School of Mathematical Sciences, University of Dodoma, P. O. Box 338, Dodoma, Tanzania

    Jefta M. Sunzu & Alberto K. Mathias

  2. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

    Sunil D. Maharaj

Authors
  1. Jefta M. Sunzu
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  2. Alberto K. Mathias
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  3. Sunil D. Maharaj
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Correspondence to Sunil D. Maharaj.

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Sunzu, J.M., Mathias, A.K. & Maharaj, S.D. Stellar models with generalized pressure anisotropy. J Astrophys Astron 40, 8 (2019). https://doi.org/10.1007/s12036-019-9575-4

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  • DOI: https://doi.org/10.1007/s12036-019-9575-4

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