Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity

TL;DR

This paper provides a comprehensive and unified analysis of the stability of spherically symmetric thin-shell traversable wormholes in general relativity, linking stability to the properties of exotic matter at the throat.

Contribution

It offers a general, unified framework for analyzing the stability of spherically symmetric thin-shell wormholes, extending previous scattered results.

Findings

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

The analysis applies to arbitrary spherically symmetric static solutions.

A general criterion for wormhole stability is established.

Abstract

We consider the construction of generic spherically symmetric thin-shell traversable wormhole spacetimes in standard general relativity. By using the cut-and-paste procedure, we comprehensively analyze the stability of arbitrary spherically symmetric thin-shell wormholes to linearized spherically symmetric perturbations around static solutions. While a number of special cases have previously been dealt with in scattered parts of the literature, herein we take considerable effort to make the analysis as general and unified as practicable. We demonstrate in full generality that stability of the wormhole is equivalent to choosing suitable properties for the exotic material residing on the wormhole throat.