A novel approach to thin-shell wormholes and applications

TL;DR

This paper introduces a general framework for analyzing the stability of spherically symmetric thin-shell wormholes using the Darmois--Israel formalism, linking stability to properties of exotic matter on the throat, with applications to the Ellis wormhole.

Contribution

It provides a universal method to assess stability of thin-shell wormholes and explores specific cases like the Ellis wormhole with various flux conditions.

Findings

Stability depends on properties of exotic matter at the wormhole throat.

The framework applies to a wide class of spherically symmetric thin-shell wormholes.

Specific analysis of the Ellis wormhole under different flux scenarios.

Abstract

A novel framework is presented that can be adapted to a wide class of generic spherically symmetric thin-shell wormholes. By using the Darmois--Israel formalism, we analyze the stability of arbitrary spherically symmetric thin-shell wormholes to linearized perturbations around static solutions. We demonstrate in full generality that the stability of the wormhole is equivalent to choosing suitable properties for the exotic material residing on the wormhole throat. As an application, we consider the thin-shell variant of the Ellis wormhole for the cases of a vanishing momentum flux and non-zero external fluxes.