Quasilocal Formalism and Black Ring Thermodynamics

TL;DR

This paper investigates the thermodynamics of dipole black rings using quasilocal formalism, revealing the role of dipole charge in the first law and examining stability aspects.

Contribution

It introduces a novel application of quasilocal formalism to dipole black rings and explores their thermodynamic properties and stability.

Findings

Dipole charge appears in the first law similarly to a global charge.

The entropy/area relationship is confirmed via Gibbs-Duhem relation.

Neutral rings are unstable to angular fluctuations.

Abstract

The thermodynamical properties of a dipole black ring are derived using the quasilocal formalism. We find that the dipole charge appears in the first law in the same manner as a global charge. Using the Gibbs-Duhem relation, we also provide a non-trivial check of the entropy/area relationship for the dipole ring. A preliminary study of the thermodynamic stability indicates that the neutral ring is unstable to angular fluctuations.