Casimir effect and thermodynamics of horizon instabilities

TL;DR

This paper links classical black hole instabilities to thermodynamic properties, specifically negative compressibility caused by Casimir pressure, extending the thermodynamic-instability correspondence beyond translationally invariant horizons.

Contribution

It introduces a dual thermodynamic framework for horizon instabilities, connecting Casimir effects to classical black hole instability analysis.

Findings

Instability arises from negative compressibility linked to Casimir pressure.

Thermodynamic description can be extended to non-translationally invariant horizons.

Provides a new perspective on horizon stability through thermodynamics.

Abstract

We propose a dual thermodynamic description of a classical instability of generalised black hole spacetimes. From a thermodynamic perspective, the instability is due to negative compressibility in regions where the Casimir pressure is large. The argument indicates how the correspondence between thermodynamic and classical instability for horizons may be extended to cases without translational invariance.