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arXiv · 2508.16404

A new solution of Einstein-Maxwell field equations in isotropic coordinates

B S Ratanpal·Bhavesh Suthar
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Abstract

In this work, we provide a novel exact solution to the Einstein-Maxwell field equations in isotropic coordinates for charged anisotropic matter distribution, achieved by considering one of the metric potentials as well as a particular form of pressure anisotropy and electric field. We analysed all physical features of a realistic star to ensure the model's viability, and we observed that it met all the physical plausibility conditions. The gravitational potentials and matter variables are well-behaved and regular throughout the distribution. All energy conditions have been verified using graphical representations. The stability criteria of the model have been discussed via different conditions. A detailed physical analysis of the star 4U 1538-52 demonstrates that our model is viable.

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B S Ratanpal, Bhavesh Suthar. 2025-08-22. A new solution of Einstein-Maxwell field equations in isotropic coordinates. https://arxiv.org/abs/2508.16404

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