Breakdown of the Entropy/Area Relationship for NUT-charged Spacetimes

TL;DR

This paper shows that in higher-dimensional anti-deSitter spacetimes with NUT charge, the typical area-entropy relationship breaks down due to thermodynamic considerations, regardless of causality or singularity issues.

Contribution

It reveals that NUT charge causes a fundamental breakdown of the area-entropy relationship in certain spacetimes, independent of causality or singularity removal.

Findings

The area-entropy relation does not hold in NUT-charged spacetimes.

The breakdown is linked to the first law of thermodynamics.

This phenomenon is independent of closed timelike curves or Misner string removal.

Abstract

We demonstrate that $(D+1)$-dimensional, locally asymptotically anti-deSitter spacetimes with nonzero NUT charge generically do not respect the usual relationship between area and entropy. This result does not depend on either the existence of closed timelike curves nor on the removal of Misner string singularities, but instead is a consequence of the first law of thermodynamics.