Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes

TL;DR

This paper investigates the stability of Bardeen de-Sitter thin-shell wormholes created via a cut-and-paste method, analyzing how magnetic charge influences their stability under linearized radial perturbations.

Contribution

It introduces a stability analysis of Bardeen de-Sitter thin-shell wormholes considering magnetic charge effects using the Darmois-Israel formalism.

Findings

Identifies regions of stability based on potential concavity for different magnetic charges.

Shows how magnetic charge affects the attractive or repulsive nature of the wormhole throat.

Provides conditions under which the wormhole remains stable under linear perturbations.

Abstract

A thin-shell wormhole is crafted by the cut-and-paste method of two Bardeen de-Sitter black holes using Darmois-Israel formalism. Energy conditions are considered for different values of magnetic charge while both mass and cosmological constant are fixed. The attractive and repulsive characteristics of the throat of the thin-shell wormhole are also examined through the radial acceleration. Dynamics and stability of the wormhole are studied around the static solutions of the linearized radial perturbations at the throat of the wormhole. The regions of stability are determined by checking out the condition of concavity of the potential as a function in the throat radius for different values of magnetic charges.