Thermodynamics of Accelerating Black Holes

TL;DR

This paper derives a consistent thermodynamic description for charged accelerating black holes, including their entropy, volume, and phase structure, extending black hole thermodynamics to solutions with conical singularities.

Contribution

It provides the first comprehensive thermodynamic framework for accelerating black holes, incorporating their unique features like conical singularities and acceleration.

Findings

Established a first law of thermodynamics for accelerating black holes.

Analyzed the thermodynamic volume and stability of these black holes.

Explored the phase structure and potential phase transitions.

Abstract

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the event horizon -- even though the event horizon contains a conical singularity. This result not only extends the applicability of black hole thermodynamics to realms previously not anticipated, it also opens a possibility for studying novel properties of an important class of exact radiative solutions of Einstein equations describing accelerated objects. We discuss the thermodynamic volume, stability and phase structure of these black holes.