Quasilocal equilibrium condition for black ring

TL;DR

This paper derives the equilibrium condition for black rings using the boundary stress-energy tensor conservation and explores their thermodynamics within the quasilocal formalism, connecting with other approaches.

Contribution

It introduces a quasilocal method to determine black ring equilibrium conditions and analyzes their thermodynamics, including the quantum statistical relation.

Findings

Derived equilibrium condition for black rings

Analyzed thermodynamics using quasilocal formalism

Discussed relation with other methods

Abstract

We use the conservation of the renormalized boundary stress-energy tensor to obtain the equilibrium condition for a general (thin or fat) black ring solution. We also investigate the role of the spatial stress in the thermodynamics of deformation within the quasilocal formalism of Brown and York and discuss the relation with other methods. In particular, we discuss the quantum statistical relation for the unbalanced black ring solution.