Exact gravastar solution

Astrophysical black holes come from exact solutions of the Einstein field equations. Therefore, any alternative—such as a gravastar—must meet the same standard of mathematical accuracy and internal consistency. A credible gravastar model cannot rely on approximations or simply patch together different regions. It must provide a single, exact, and self-consistent solution to the Einstein field equations throughout the entire spacetime. We propose an exact solution to the Einstein Field Equations in the context of Gravitationally Vacuum Star, or Gravastar, introduced by Mazur Mottola [1]. This concept suggests an alternative scenario to the end state of a gravitational collapse indicating the formation of a compact body other than a black hole. Our approach realizes this concept by partitioning the Gravastar into three distinct regions, each defined by exact solutions to the Einstein Field Equations. We explore the key physical properties of gravastar models, which have been proposed as possible alternatives to classical black holes. This study offers a clear and thorough examination of their theoretical structure and evaluates how physically reasonable gravastars are as compact astrophysical objects.