Effects of Variable Equations of State on the Stability of Nonlinear Electrodynamics Thin-Shell Wormholes

TL;DR

This study investigates how nonlinear electrodynamics influences the stability of thin-shell wormholes derived from Reissner-Nordström black holes, revealing that nonlinear effects can stabilize configurations that are unstable in classical models.

Contribution

It introduces a new analysis of thin-shell wormhole stability considering variable equations of state within nonlinear electrodynamics frameworks, extending prior work on classical black hole geometries.

Findings

Reissner-Nordström black holes with nonlinear electrodynamics exhibit stable wormhole configurations.

Stability increases with higher negative coupling constants and specific model parameters.

Classical Schwarzschild and Reissner-Nordström black holes remain unstable under similar conditions.

Abstract

This paper explores the role of nonlinear electrodynamics on the stable configuration of thin-shell wormholes formulated from two equivalent geometries of Reissner-Nordstr\"om black hole with nonlinear electrodynamics. For this purpose, we use cut and paste approach to eliminate the central singularity and event horizons of the black hole geometry. Then, we explore the stability of the developed model by considering different types of matter distribution located at thin-shell, i.e., barotropic model and variable equations of state (phantomlike variable and Chaplygin variable models). We use linearized radial perturbation to explore the stable characteristics of thin-shell wormholes. It is interesting to mention that Schwarzschild and Reissner-Nordstr\"om black holes show the unstable configuration for such type of matter distribution while Reissner-Nordstr\"om black hole with nonlinear electrodynamics expresses stable regions. It is found that the presence of nonlinear electrodynamics gives the possibility of a stable structure for barotropic as well as variable models. It is concluded that stable region increases for these models by considering higher negative values of coupling constant $\alpha$ and the real constant $n$.