On Cracking of Charged Anisotropic Polytropes

TL;DR

This paper investigates the conditions under which charged anisotropic spherical polytropes experience cracking, analyzing the effects of perturbing various parameters like pressure, density, and charge, and extends previous work by explicitly perturbing the charge parameter.

Contribution

It introduces a detailed analysis of cracking in charged anisotropic polytropes by perturbing multiple parameters, including charge, which was not explicitly considered before.

Findings

Cracking occurs over a wide parameter range in both perturbation schemes.

Results reduce to previous uncharged cases when charge is set to zero.

Perturbing charge significantly influences stability conditions.

Abstract

Recently in \cite{34}, the role of electromagnetic field on the cracking of spherical polytropes has been investigated without perturbing charge parameter explicitly. In this study, we have examined the occurrence of cracking of anisotropic spherical polytropes through perturbing parameters like anisotropic pressure, energy density and charge. We consider two different types of polytropes in this study. We discuss the occurrence of cracking in two different ways $(i)$ by perturbing polytropic constant, anisotropy and charge parameter $(ii)$ by perturbing polytropic index, anisotropy and charge parameter for each case. We conclude that cracking appears for a wide range of parameters in both cases. Also, our results are reduced to \cite{33} in the absence of charge.