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New charged anisotropic solution on paraboloidal spacetime

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Abstract

New exact solutions of Einstein’s field equations for charged stellar models by assuming linear equation of state \(P_{r}=A(\rho -\rho _{a}) \), where \(P_{r} \) is the radial pressure and \(\rho _{a} \) is the surface density. By assuming \(e^{\lambda } = 1+\frac{r^{2}}{R^{2}} \) for metric potential. The physical acceptability conditions of the model are investigated, and the model is compatible with several compact star candidates like 4U 1820-30, PSR J1903+327, EXO 1785-248, LMC X-4, SMC X-4, Cen X-3. A noteworthy feature of the model is that it satisfies all the conditions needed for a physically acceptable model.

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Acknowledgement

BSR would like to thank IUCAA, Pune, for the facilities and hospitality provided to him where part of the work was carried out.

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Authors and Affiliations

  1. Department of Applied Science & Humanities, Parul University, Limda, Vadodara, 391 760, Gujarat, India

    Rinkal Patel

  2. Department of Applied Mathematics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara, 390 001, Gujarat, India

    B. S. Ratanpal

  3. Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Raisan, Gandhinagar, 382426, Gujarat, India

    D. M. Pandya

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  1. Rinkal Patel
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  3. D. M. Pandya
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Contributions

All authors’ contributions are as follows: B. S. Ratanpal has raised the main idea, ansatz and discussed the methodology, Rinkal Patel has contributed in computations and drafting the manuscript, and D. M. Pandya has prepared a final drafting and taken care of the overall flow and presentations with figures.

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Correspondence to D. M. Pandya.

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Patel, R., Ratanpal, B.S. & Pandya, D.M. New charged anisotropic solution on paraboloidal spacetime. Astrophys Space Sci 368, 58 (2023). https://doi.org/10.1007/s10509-023-04213-2

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