Fate of Electromagnetic Field on the Cracking of PSR J1614-2230 in Quadratic Regime

TL;DR

This study investigates how electromagnetic fields influence the stability and cracking behavior of the compact star PSR J1614-2230 in a quadratic regime, revealing that charge enhances stability.

Contribution

Develops a formalism to analyze cracking in charged compact objects and demonstrates charge's role in increasing stability regions.

Findings

PSR J1614-2230 remains stable without charge.

Introducing charge causes cracking and instability.

Stability increases with higher charge levels.

Abstract

In this paper, we study the cracking of compact object PSR J1614-2230 in quadratic regime with electromagnetic field. For this purpose, we develop a general formalism to determine the cracking of charged compact objects. We apply the local density perturbations to the hydrostatic equilibrium equation as well as all the physical variables involve in the model. We plot the force distribution function against radius of the star with different values of model parameters both with and without charge. It is found that PSR J1614-2230 remains stable (no cracking) corresponding to different values of parameters when charge is zero, while it exhibit cracking (unstable) when charge is introduced. We conclude that stability region increases as amount of charge increases.