Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow

TL;DR

This paper investigates three-dimensional AdS gravastars within gravity's rainbow, analyzing their physical properties and stability, and highlighting how rainbow functions and electric fields influence their characteristics.

Contribution

It extends the study of AdS gravastars to include gravity's rainbow effects and electromagnetic fields, providing new insights into their physical features and stability.

Findings

Physical parameters depend on rainbow functions.

Charged states are influenced by electric fields.

Thin shell structures can be stable regardless of matter type.

Abstract

In this work, we study the three-dimensional AdS gravitational vacuum stars (gravastars) in the context of gravity's rainbow theory. Then we extend it by adding the Maxwell electromagnetic field. We compute the physical features of gravastars, such as proper length, energy, entropy, and junction conditions. Our results show that the physical parameters for charged and uncharged states depend significantly on rainbow functions. Besides from charged state, they also depend on the electric field. Finally, we explore the stability of thin shell of three-dimensional (un)charged AdS gravastars in gravity's rainbow. We show that the structure of thin shell of these gravastars may be stable and is independent of the type of matter.