Asymptotically anti-de Sitter cylindrical thin-shell wormholes

TL;DR

This paper studies the stability of cylindrical thin-shell wormholes in asymptotically anti-de Sitter spacetime, comparing methods and configurations, and finds conditions for their stability and necessity of exotic matter.

Contribution

It introduces a stability analysis of asymptotically anti-de Sitter cylindrical wormholes using two methods and compares them with Levi-Civita spacetime configurations.

Findings

Wormholes require exotic matter at the throat.

Configurations can be stable under certain parameter conditions.

Comparison with Levi-Civita spacetime enhances understanding.

Abstract

In this article we investigate cylindrical thin-shell wormholes which are asymptotically anti-de Sitter. We analyze their stability under perturbations preserving the symmetry by using two different methods. We compare the results with those corresponding to the wormholes constructed from the Levi-Civita spacetime. We find that the configurations always require the presence of exotic matter at the throat, and, in the case of the linearized stability analysis, they can be stable for suitable values of the parameters