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Charged stellar models possessing anisotropic interiors

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Abstract

In this paper, we present two different non-singular interior models describing anisotropic spherical configuration in the presence of an electromagnetic field. The Einstein–Maxwell field equations and the mass function are formulated corresponding to the static interior. We then discuss some conditions whose fulfillment leads to physically realistic compact models. The field equations are solved by adopting two different constraints that make the system solvable. We take a particular form of anisotropy and a linear equation of state, leading to models I and II, respectively. There appear differential equations in both cases whose solutions contain the integration constants. We calculate these constants by setting the metric functions of an interior and the Reissner–Nordström exterior metrics equal at the spherical boundary. The vanishing of the radial pressure at the hypersurface is also utilized in finding the constants. We use the estimated mass and radius of a compact star LMC X-4 to evaluate the new solutions graphically for multiple values of the charge. We conclude that both the resulting models are in good agreement with all physical requirements for calculated values of constants.

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Data Availability Statement

No data were used for the research described in this paper.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, Lahore, 54000, Pakistan

    M. Sharif & Tayyab Naseer

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  1. M. Sharif
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  2. Tayyab Naseer
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Correspondence to M. Sharif.

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Sharif, M., Naseer, T. Charged stellar models possessing anisotropic interiors. Eur. Phys. J. Plus 139, 296 (2024). https://doi.org/10.1140/epjp/s13360-024-05068-4

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