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Three-layered star comprising polytropic, quark and gaseous matter

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Abstract

We construct a new exact model for a dense stellar object utilising the Einstein–Maxwell system of equations. The model comprises three interior regions with distinct equations of state (EoS): the polytropic EoS at the core region, linear EoS at the intermediate region and Chaplygin EoS at the envelope region. Our model can regain earlier solutions. A physical analysis reveals that the matter variables, metric functions and other physical conditions are well behaved and consistent in the study of dense stellar objects. Matching of the boundary layers is done with help of the Reissner–Nordstrom exterior space–time. An interesting feature is that the innermost region is outfitted with a polytropic EoS, and this study extends a core–envelope model developed by Mardan, Noureen and Khalid into a three-layered model.

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Acknowledgements

ASL and EWM acknowledge the University of Dar es Salaam for continuous support and for providing good environment in conducting research. SDM acknowledges that this research is supported by the South Africa Research Chair Initiative of the Department of Science and Technology and the National Research Foundation. JMS acknowledges the University of Dodoma for making a conducive environment for research.

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Authors and Affiliations

  1. Department of Mathematics, University of Dar es Salaam, Dar es Salaam, Tanzania

    Avirt S Lighuda & Eunice W Mureithi

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

    Sunil D Maharaj

  3. Department of Mathematics and Statistics, The University of Dodoma, Dodoma, Tanzania

    Jefta M Sunzu

Authors
  1. Avirt S Lighuda
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  2. Sunil D Maharaj
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  3. Jefta M Sunzu
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  4. Eunice W Mureithi
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Correspondence to Jefta M Sunzu.

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Lighuda, A.S., Maharaj, S.D., Sunzu, J.M. et al. Three-layered star comprising polytropic, quark and gaseous matter. Pramana - J Phys 97, 5 (2023). https://doi.org/10.1007/s12043-022-02475-z

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  • DOI: https://doi.org/10.1007/s12043-022-02475-z

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