Impact of Buchdahl metric potential on thin-shell gravastar framework in de Rham-Gabadadze-Tolley like massive gravity

TL;DR

This paper explores gravastars within de Rham-Gabadadze-Tolley massive gravity using Buchdahl metric, providing singularity-free solutions that could serve as black hole alternatives with stable physical properties.

Contribution

It introduces a novel gravastar model in dRGT massive gravity with Buchdahl metric, demonstrating singularity-free solutions and analyzing their physical and stability properties.

Findings

Singularity-free analytical solutions for gravastar interior.

Viability of gravastars as black hole alternatives in massive gravity.

Regularity and stability confirmed through surface redshift and energy conditions.

Abstract

This paper presents a study on gravitational vacuum stars (gravastars) with an isotropic matter distribution in de Rham-Gabadadze-Tolley (dRGT) massive gravity incorporating Buchdahl metric function. Here we have conducted an analysis on thin-shell singularity-free gravastar configuration. The study demonstrates the viability of gravastars as alternatives to black holes (BHs) in this massive gravity. Our research yields singularity free analytical solutions for gravastar interior and without event horizon. Our discussion focuses on the properties of the thin shell of ultra-relativistic stiff fluid viz., length, energy, entropy and the massive gravity's impact on these physical properties. The junction conditions have been carefully examined and study of surface redshift analysis implies regularity of the model. Our investigation also includes energy condition analysis supporting the thin shell formation. Thus our solutions eliminate singularities and information paradoxes and the implications of these solutions are seemingly noteworthy and exhibit physical desirable properties.