Stable and self consistent charged gravastar model within the framework of $f(R,\,T)$ gravity

TL;DR

This paper constructs a stable, charged gravastar model within $f(R,T)$ gravity, solving Einstein-Maxwell equations with conformal symmetry, and analyzes its physical properties and stability as an alternative to charged black holes.

Contribution

It presents a novel charged gravastar model in $f(R,T)$ gravity with conformal symmetry, including stability analysis and physical property evaluation.

Findings

The model is stable within certain parameter ranges.

The gravastar's physical properties are consistent with a stable alternative to charged black holes.

Graphical analysis supports the stability and physical viability of the model.

Abstract

In this work, we discuss the configuration of a gravastar (gravitational vacuum stars) in the context of $f(R, \,T )$ gravity by employing the Mazur-Mottola conjecture [P. Mazur and E. Mottola, Report No. LA-UR-01-5067; P. Mazur and E. Mottola, Proc. Natl. Acad. Sci. USA $101$, $9545$ ($2004$)]. Gravastar is conceptually a substitute for a black hole theory as available in literature and it has three regions with different equation of states. By assuming that the gravastar geometry admits conformal killing vector, the Einstein-Maxwell field equations have been solved in different regions of gravastar by taking a specific equation of state as proposed by Mazur and Mottola. We match our interior spacetime to the exterior spherical region which is completely vacuum and described by Reissner-Nordstr\"{o}m geometry. For a particular choice of $f(R,\,T)$ as $f(R, \,T )=R+2\gamma T$, here we analyze various physical properties of the thin shell and also presented our results graphically for these properties. The stability analysis of our present model is also studied by introducing a new parameter $\eta$ and we explored the stability regions. Our proposed gravastar model in presence of charge might be treated as a successful stable alternative of the charged black hole in the context of this gravity.