Stable Charged Gravastar Model in ${f}(\mathfrak{R},\textbf{T}^{2})$ Gravity with Conformal Motion

TL;DR

This study explores how charge influences the structure and physical properties of gravastars within energy-momentum squared gravity, demonstrating the viability of non-singular, charged gravastar solutions with conformal motion.

Contribution

It introduces a charged gravastar model in energy-momentum squared gravity with conformal motion, analyzing physical attributes and matching conditions for the first time.

Findings

Charge stabilizes the gravastar's internal structure.

Non-singular solutions are physically viable in this gravity framework.

Physical attributes depend on shell thickness and charge presence.

Abstract

This paper investigates the influence of charge on physical features of gravastars in the framework of energy-momentum squared gravity. A gravastar is an alternate model to a black hole that comprises of three distinct regions, namely the intermediate shell, inner and outer sectors. Different values of the barotropic equation of state parameter provide the mathematical formulation for these regions. We construct the structure of a gravastar admitting conformal motion for a specific model of energy-momentum squared gravity. The field equations are formulated for a spherically symmetric spacetime with charged perfect matter distribution. For the smooth matching of external and internal spacetimes, we use Israel matching criteria. Various physical attributes of gravastars such as the equation of state parameter, proper length, entropy and energy are investigated (in the presence of charge) versus thickness of the shell. The charge in the inner core of gravastars preserves the state of equilibrium by counterbalancing the inward gravitational force. It is concluded that the non-singular solutions of charged gravastar are physically viable in the background of energy-momentum squared gravity.