Electromagnetic Effects on Cracking of Anisotropic Polytropes

TL;DR

This paper investigates how electromagnetic effects influence the stability of anisotropic polytropic fluid spheres, deriving generalized equations and analyzing stability under perturbations, finding that charge can enhance stability.

Contribution

It introduces a generalized framework for analyzing electromagnetic effects on anisotropic polytropic stars and examines stability criteria under perturbations of polytropic parameters.

Findings

Charge presence stabilizes anisotropic polytropic configurations.

Stability depends on the perturbed polytropic index.

Generalized Tolman-Oppenheimer-Volkoff equations are formulated.

Abstract

In this paper, we study the electromagnetic effects on stability of spherically symmetric anisotropic fluid distribution satisfying two polytropic equations of state and construct the corresponding generalized Tolman Oppenheimer Volkoff equations. We apply perturbations on matter variables via polytropic constant as well as polytropic index and formulate the force distribution function. It is found that the compact object is stable for feasible choice of perturbed polytropic index in the presence of charge.