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Charged anisotropic fluid spheres with conformal symmetry

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Abstract

We generate charged anisotropic exact models to the Einstein–Maxwell field equations for static spacetime with a conformal Killing vector. The Einstein–Maxwell field equations are solved to generate a realistic stellar model with physical significance. The generated model satisfies important physical requirements. The interior and exterior metrics match smoothly at the stellar surface, the surface red shift and the compactification parameter are within the suggested limits, regularity is obeyed, the energy conditions are satisfied, the sphere is stable, and the natural physical forces are balanced. The class of exact solutions generated in our model regains several models found by various researchers in the past. These include the models of Buchdahl, Vaidya and Tikekar, Durgapal and Bannerji, amongst other well-known solutions. The existence of a conformal Killing vector provides a geometric basis for many astrophysical objects.

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Acknowledgements

We acknowledge the authority of The University of Dodoma in Tanzania for continuous support and creating a conducive environment for research. JWJ sincerely thanks the sponsor, Ministry of Education, Science and Technology, Tanzania for financial support. SDM acknowledges that this work is based upon 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 and Statistics, University of Dodoma, 338, Dodoma, Tanzania

    J W Jape, J M Sunzu & J M Mkenyeleye

  2. Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, 4000, South Africa

    S D Maharaj

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  1. J W Jape
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Correspondence to J M Mkenyeleye.

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Jape, J.W., Maharaj, S.D., Sunzu, J.M. et al. Charged anisotropic fluid spheres with conformal symmetry. Indian J Phys 97, 1655–1671 (2023). https://doi.org/10.1007/s12648-022-02521-x

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