Structure of 3D gravastars in the context of massive gravity

In this paper, we investigate a new model of (2 + 1)-dimensional (3 D) gravitational vacuum stars (gravastars) with an isotropic matter distribution anti-de Sitter (AdS) spacetime in the context of massive gravity. For this purpose, we explore free singularity models with a specific equation of state. Using Mazur-Mottola's approach, we predict 3 D gravastars as alternatives to BTZ black holes in massive gravity. We find analytical solutions to the interior of gravastars free of singularities and event horizons. For a thin shell containing an ultra-relativistic stiff fluid, we discuss length, energy, and entropy. In conclusion, the parameter of massive gravity plays a significant role in predicting the proper length, energy contents and entropy and parameters of gravastars.

Automated summary

This paper investigates a new model of (2 + 1)-dimensional gravitational vacuum stars with an isotropic matter distribution anti-de Sitter spacetime in the context of massive gravity. By exploring free singularity models with a specific equation of state and using Mazur-Mottola's approach, the paper predicts 3D gravastars as alternatives to BTZ black holes in massive gravity. Analytical solutions to the interior of gravastars that are free of singularities and event horizons are found. The length, energy, and entropy of a thin shell containing an ultra-relativistic stiff fluid are discussed. The parameter of massive gravity plays a significant role in predicting the proper length, energy contents, entropy, and parameters of gravastars.