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Charged anisotropic model with embedding and a linear equation of state

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Abstract

Exact solutions to the Einstein field equations for charged relativistic anisotropic stars are generated. The Karmarkar condition is used with the Einstein–Maxwell field equations and a linear equation of state to investigate various physical properties and behaviour of the compact star. The nonlinear differential equations and the field equations are transformed by adopting the Bannerji and Durgapal transformation. The embedding approach provides a relationship between gravitational potentials that help to solve and integrate the field equations. This enables one to specify one of the gravitational potentials, measure of anisotropy or electric field on a physical basis. In particular, the model is generated using embedding with a linear equation of state. The detailed physical analysis of the results show that the gravitational potentials and matter variables are well behaved. The model satisfies all the necessary physical conditions, such as stability, equilibrium, energy conditions and the mass–radius relationship.

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Acknowledgements

The authors appreciate the support of the University of Dodoma in Tanzania to complete this study. AKM is grateful to the Government of Tanzania through the Ministry of Education, Science and Technology for the sponsorship. SDM acknowledges the South African Research Chair Initiative of the Department of Science and Technology and the National Research Foundation support to facilitate this research.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Dodoma, P.O. Box 338, Dodoma, Tanzania

    Alberto K Mathias, Jefta M Sunzu & Jason M Mkenyeleye

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

    Sunil D Maharaj

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

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Mathias, A.K., Sunzu, J.M., Maharaj, S.D. et al. Charged anisotropic model with embedding and a linear equation of state. Pramana - J Phys 97, 29 (2023). https://doi.org/10.1007/s12043-022-02503-y

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  • DOI: https://doi.org/10.1007/s12043-022-02503-y

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