The membrane paradigm for a dynamic wormhole

TL;DR

This paper develops a classical membrane model for a dynamic wormhole, showing that its throat expands hyperbolically with an instability characterized by a negative bulk viscosity coefficient.

Contribution

It introduces a novel membrane paradigm for dynamic wormholes, linking surface energy density to throat expansion and instability.

Findings

Throat expands hyperbolically with acceleration proportional to surface energy density

Negative bulk viscosity coefficient indicates instability against perturbations

Model provides insights into wormhole dynamics and stability

Abstract

A classical membrane model is developed for a dynamic wormhole. Its throat expands hyperbolically with an acceleration proportional to the surface energy density $\sigma$. The model leads to a negative bulk viscosity coefficient $\zeta = - 1/6 \pi$ on the throat, expressing the instability against perturbations (expansions or contractions).