# Cracking of Charged Polytropes with Generalized Polytropic Equation of State

## TL;DR

This paper investigates the stability of charged anisotropic polytropes with a generalized equation of state, finding that stability depends on the type of perturbation applied, with cracking occurring under specific conditions.

## Contribution

It introduces a detailed analysis of cracking in charged polytropes using two different perturbation schemes and compares two definitions of polytropes from literature.

## Key findings

- Cracking does not occur under local density perturbations.
- Cracking appears under perturbation of anisotropy, charge, and polytropic index.
- Stable configurations are observed under certain conditions.

## Abstract

We discuss the occurrence of cracking in charged anisotropic polytropes with generalized polytropic equation of state through two different assumptions; (i) by carrying out local density perturbations under conformally flat condition (ii) by perturbing anisotropy, polytropic index and charge parameters. For this purpose, we consider two different definitions of polytropes exist in literature. We conclude that under local density perturbations scheme cracking does not appears in both types of polytropes and stable configuration are observed, while with second kind of perturbation cracking appears in both types of polytropes under certain conditions.