Accelerating Black Holes

TL;DR

This paper reviews recent advances in understanding the thermodynamics of accelerating black holes, emphasizing the role of conical deficits and introducing new thermodynamic variables like tension and length.

Contribution

It introduces a framework for black hole thermodynamics that incorporates conical deficits and their tension as thermodynamic variables, extending previous models.

Findings

Thermodynamics of accelerating black holes includes conical deficit tension.

Introduction of thermodynamic length conjugate to deficit tension.

Application to black holes in anti-de Sitter spacetime.

Abstract

In this presentation, I review recent work with Mike Appels and David Kubiznak on thermodynamics of accelerating black holes. I start by reviewing the geometry of accelerating black holes, focussing on the conical deficit responsible for the 'force' causing the black hole to accelerate. Then I discuss black hole thermodynamics with conical deficits, showing how to include the tension of the deficit as a thermodynamic variable, and introducing a canonically conjugate {\it thermodynamic length}. Finally, I describe the thermodynamics of the slowly accelerating black hole in anti-de Sitter spacetime.