A new solution of Einstein's field equations in isotropic coordinates

TL;DR

This paper presents an exact solution to Einstein's field equations in isotropic coordinates for anisotropic matter, demonstrating its stability and physical plausibility for modeling compact stars like 4U 1538-52.

Contribution

The work introduces a new exact solution in isotropic coordinates for anisotropic matter, with detailed stability and physical analysis for realistic stellar models.

Findings

Model is potentially stable with adiabatic index > 4/3

Solution fits the physical characteristics of the star 4U 1538-52

Demonstrates feasibility of anisotropic models in isotropic coordinates

Abstract

In this work, an exact solution of Einstein's field equations in isotropic coordinates for anisotropic matter distribution is obtained by considering a particular metric choice of metric potential $g_{rr}$. To check the feasibility of the model, we have investigated all the physical characteristics of a realistic star. It is found that the model is potentially stable, and the adiabatic index is greater than $\frac{4}{3}$. The model have been analysed for Compact star \textbf{4U 1538-52}.