Stability of thin-shell wormholes with spherical symmetry

TL;DR

This paper investigates the stability of spherically symmetric thin-shell wormholes under symmetric perturbations, comparing dilaton and Reissner-Nordstrom types, and finds that dilaton wormholes have fewer stable configurations.

Contribution

It introduces a formalism for analyzing stability of spherically symmetric thin-shell wormholes and applies it to compare dilaton and Reissner-Nordstrom wormholes.

Findings

Dilaton wormholes have a smaller range of stable configurations.

Stability depends on the equation of state at the throat.

Formalism can be applied to different wormhole types.

Abstract

In this article, the stability of a general class of spherically symmetric thin-shell wormholes is studied under perturbations preserving the symmetry. For this purpose, the equation of state at the throat is linearized around the static solutions. The formalism presented here is applied to dilaton wormholes and it is found that there is a smaller range of possible stable configurations for them than in the case of Reissner-Nordstrom wormholes with the same charge.