Stability of Transparent Spherically Symmetric Thin Shells and Wormholes

TL;DR

This paper investigates the stability of spherically symmetric thin shells and wormholes under small perturbations, considering the effects of a cosmological constant and the role of domain walls in equilibrium configurations.

Contribution

It generalizes previous stability analyses by including the cosmological constant and systematically explores the influence of domain walls on equilibrium states.

Findings

Stability conditions depend critically on the presence of domain walls.

Including the cosmological constant alters the stability landscape.

The work provides a unified framework for analyzing thin shell and wormhole stability.

Abstract

The stability of transparent spherically symmetric thin shells (and wormholes) to linearized spherically symmetric perturbations about static equilibrium is examined. This work generalizes and systematizes previous studies and explores the consequences of including the cosmological constant. The approach shows how the existence (or not) of a domain wall dominates the landscape of possible equilibrium configurations.