General formalism for the stability of thin-shell wormholes in 2+1 dimensions

TL;DR

This paper develops a general theoretical framework to analyze the stability of circular thin-shell wormholes in 2+1 dimensions, focusing on symmetric configurations and linearized exotic matter equations.

Contribution

It introduces a new formalism for assessing stability of 2+1D thin-shell wormholes under symmetric perturbations, applicable to various examples.

Findings

Stability conditions derived for symmetric thin-shell wormholes.

Application of formalism to multiple specific wormhole models.

Insights into the role of exotic matter in maintaining stability.

Abstract

In this article we theoretically construct circular thin-shell wormholes in a 2+1 dimensional spacetime. The construction is symmetric with respect to the throat. We present a general formalism for the study of the mechanical stability under perturbations preserving the circular symmetry of the configurations, adopting a linearized equation of state for the exotic matter at the throat. We apply the formalism to several examples.