Identifying potentially stable regions of charged structures via cracking

Abstract

The objective of this article is to determine potentially stable regions in charged compact stars by using the notion of cracking in general relativity. We use the perturbation scheme to analyze the force distribution function. If the radial forces exerted on compact objects change their direction then these perturbations may lead to cracking. This technique offers a different strategy to elucidate the stability of polytropic models. Hence, we check the stability of celestial objects by taking into account the polytropic equation of state. To achieve this, we compute the field equations using Einstein-Maxwell tensors. Moreover, we demonstrate the radial and tangential components of sound speeds. These sound speeds may prove to be cornerstones in indicating locally anisotropic stable regions. Subsequently, we consider various models and analyze their stability.