Some general aspects of thin-shell wormholes with cylindrical symmetry

TL;DR

This paper investigates non-rotating cylindrical thin-shell wormholes, exploring conditions for positive energy density at the throat and analyzing their stability under symmetric perturbations, with examples from Einstein-Maxwell spacetimes.

Contribution

It introduces a less restrictive flare-out condition enabling positive energy density wormholes and generalizes stability results for symmetric perturbations.

Findings

Less restrictive flare-out condition allows positive energy density

Wormholes are stable under symmetric perturbations

Examples from Einstein-Maxwell spacetimes

Abstract

In this article we study a general class of non-rotating thin-shell wormholes with cylindrical symmetry. We consider two physically sound definitions of the flare-out condition and we show that the less restrictive one allows for the construction of wormholes with positive energy density at the throat. We also analyze the mechanical stability of these objects under perturbations preserving the symmetry, proving that previous results are particular cases of a general property. We present examples of wormholes corresponding to Einstein-Maxwell spacetimes.