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

TL;DR

This paper presents a novel exact solution to Einstein-Maxwell equations in isotropic coordinates for charged, anisotropic stars, demonstrating physical plausibility, stability, and applicability to real stellar models like 4U 1538-52.

Contribution

It introduces a new exact solution considering specific metric potentials and anisotropy, ensuring physical viability and stability for charged stellar models.

Findings

Model satisfies all physical plausibility conditions.

Gravitational potentials and matter variables are regular and well-behaved.

The solution is applicable to real stars like 4U 1538-52.

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.