(3+1)-D gravastar in de Rham-Gabadadze-Tolley-like massive gravity

TL;DR

This paper investigates the properties of a (3+1)-dimensional gravastar within a massive gravity framework, revealing how graviton mass influences the structure and matching conditions, with results reverting to general relativity when the graviton mass approaches zero.

Contribution

It introduces a gravastar model in de Rham-Gabadadze-Tolley-like massive gravity and analyzes the effects of graviton mass on its properties and structure.

Findings

Graviton mass significantly alters gravastar behavior.

Results reduce to general relativity when graviton mass approaches zero.

Analyzed shell length, energy, and entropy in the model.

Abstract

The physical properties of a (3+1)-D gravastar in the context of massive gravity are discussed in this work. In present investigation, the field equations have been solved for a static, uncharged sphere in order to achieve the gravastar model as proposed by Mazur and Mottola [Mazur and Mottola in Report No. LA-UR-01-5067,(2001); Mazur and Mottola, {\em Proc Natl Acad Sci} USA 101:9545, (2004)]. We address length of thin shell, energy, and entropy for the thin shell containing an ultra-relativistic stiff fluid. Israel matching criteria are used to ensure that the inner and outside geometries join smoothly. It turns out that the behavior of the gravastar is entirely altered by the existence of the graviton mass. Particularly, when $m\rightarrow0$, our findings precisely matched the outcomes of general relativity.