Thin-shell wormholes: Linearization stability
Eric Poisson, Matt Visser (Washington University)
TL;DR
This paper investigates the linear stability of spherically symmetric thin-shell wormholes by analyzing perturbations and their relation to the matter properties at the wormhole throat.
Contribution
It introduces a linearized stability analysis for thin-shell wormholes, linking stability to the equation of state of exotic matter at the throat.
Findings
Stability depends on the linearized equation of state.
Perturbations can be systematically analyzed for stability criteria.
Provides insights into the conditions for traversable wormhole stability.
Abstract
The class of spherically-symmetric thin-shell wormholes provides a particularly elegant collection of exemplars for the study of traversable Lorentzian wormholes. In the present paper we consider linearized (spherically symmetric) perturbations around some assumed static solution of the Einstein field equations. This permits us to relate stability issues to the (linearized) equation of state of the exotic matter which is located at the wormhole throat.
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