Modeling of charged anisotropic compact stars in general relativity

TL;DR

This paper develops a model for charged anisotropic compact stars in general relativity, solving Einstein-Maxwell equations and verifying physical conditions to ensure realistic stellar configurations.

Contribution

It introduces a new charged anisotropic star model using specific metric and charge functions, validated by physical and stability criteria.

Findings

Model is compatible with observed star PSR 1937+21

Provides an equation of state for the star

Ensures physical viability through stability and causality checks

Abstract

A charged compact star models have been determined for anisotropic fluid distribution. We have solved the Einstein's- Maxwell field equations to construct the charged compact star models by using radial pressure, metric function $e^{\lambda}$ and electric charge function. The generic charged anisotropic solution is verified by exploring different physical conditions like, causality condition, mass-radius relation and stability of the solution (via. adiabatic index, TOV equations and Herrera cracking concept). It is observed that the present charged anisotropic compact star is compatible with the star PSR 1937+21. However we also presented the EOS $\rho=f(p)$ for present charged compact star model.