https://doi.org/10.1140/epjp/s13360-024-05068-4
Regular Article
Charged stellar models possessing anisotropic interiors
Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, 54000, Lahore, Pakistan
Received:
11
September
2023
Accepted:
5
March
2024
Published online:
28
March
2024
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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
