Impact of Kuchowicz Metric Function on Gravastars in f(R,T) Theory

TL;DR

This study explores how the Kuchowicz metric function influences gravastar configurations within $f(R,T)$ gravity, analyzing interior, shell, and exterior geometries, and demonstrating the gravastar's potential as a black hole alternative.

Contribution

The paper introduces a novel analysis of gravastars using Kuchowicz metric function in $f(R,T)$ gravity, including detailed geometric and physical property evaluations.

Findings

Gravastar models can effectively replace black holes in $f(R,T)$ gravity.

Non-singular metric potentials are achieved in interior and shell regions.

Physical features like redshift and energy are consistent with gravastar stability.

Abstract

This paper discusses the configuration of gravitational vacuum star or gravastar with the impact of geometry and matter coupling present in $f(R,T)$ gravity. The gravastar is also conceptualized as a substitute for a black hole which is illustrated by three geometries known as (1) the interior geometry, (2) the intermediate thin-shell and (3) the exterior geometry. For a particular $f(R,T)$ model, we analyze these geometries corresponding to Kuchowicz metric function. We evaluate another metric potential for the interior domain as well as the intermediate shell which is non-singular for both domains. The Schwarzschild metric is adopted to demonstrate the exterior geometry of gravastar, while the numerical values of unknown constants are calculated through boundary conditions. Finally, we discuss different features of gravastar regions like proper length, energy, surface redshift as well as equation of state parameter. We conclude that the gravastar model can be regarded as a successful replacement of the black hole in the context of this gravity.