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

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.

Study of scalar particles through the Klein–Gordon equation under rainbow gravity effects in Bonnor–Melvin-Lambda space-time

“…This modification of the relativistic dispersion relation finds motivation in the observation of highenergy cosmic rays [8], TeV photons emitted during gamma ray bursts [14,28,29], and neutrino data from IceCube [30]. The rainbow gravity effects have been studied in various physical aspects reported in [31][32][33][34][35][36][37][38][39][40][41].…”