Exact Gravastar Solution

TL;DR

This paper presents an exact, self-consistent solution to Einstein's equations modeling gravastars, offering a mathematically rigorous alternative to black holes with detailed physical analysis.

Contribution

It introduces a novel exact solution for gravastars, avoiding approximations and providing a complete spacetime model consistent with Einstein's equations.

Findings

The model describes a three-region gravastar with exact solutions.

Physical properties of the gravastar are analyzed for stability and viability.

The solution supports gravastars as plausible black hole alternatives.

Abstract

Astrophysical black holes arise as exact solutions of the Einstein field equations. Therefore, any alternative, such as a gravastar, must satisfy the same level of mathematical rigor and internal consistency. A physically viable gravastar model should not rely on approximations or ad hoc matching of regions, but instead provide a single, exact, and self-consistent solution of the Einstein field equations throughout the entire spacetime. In this work, we propose an exact solution to the Einstein field equations in the context of gravitational vacuum stars (gravastars), originally introduced by Mazur and Mottola. This framework presents an alternative end state of gravitational collapse, leading to the formation of a compact object distinct from a classical black hole. Our model is constructed by dividing the gravastar into three regions, each described by exact solutions of the Einstein field equations. We analyze the key physical properties of the resulting configuration and examine its theoretical consistency and astrophysical viability. This study provides a clear and systematic assessment of gravastars as potential alternatives to black holes.