Unruh model for the Einstein-Rosen charge: Squealing Wormholes?

TL;DR

This paper develops acoustic models for Einstein-Rosen wormholes, revealing that such models can exhibit sonic Hawking-Unruh temperatures and potentially be incorporated into Unruh's fluid framework.

Contribution

It introduces two acoustic models for Einstein-Rosen charges and demonstrates their thermodynamic properties, linking wormholes to sonic Hawking-Unruh effects.

Findings

First model requires exotic matter at the wormhole throat.

Second model shows wormholes have a sonic Hawking-Unruh temperature.

Wormholes can be modeled within Unruh's fluid analogy.

Abstract

We present two kinds of acoustic models for the massless electric charge conceived by Einstein and Rosen in the form of a bridge (wormhole throat). It is found that the first kind of modelling requires a thin layer of exotic matter at the bridge. We also derive an acoustic equation that exclusively characterizes the model. Using a second kind of model, it is demonstrated that the Einstein-Rosen charge has a sonic Hawking-Unruh temperature proportional to +-1/$beta$, where $beta$ is the size of the charge. This suggests that (squealing!) wormholes can also be formally accommodated into Unruh's fluid model.