Holographic Thermodynamics of Accelerating Black Holes

TL;DR

This paper investigates the thermodynamics of accelerating black holes in anti-de Sitter space, clarifying previous discrepancies and deriving the dual stress-energy tensor, revealing a universal non-hydrodynamic contribution.

Contribution

It provides a consistent thermodynamic formulation for accelerating AdS black holes and computes the dual stress-energy tensor, including a universal non-hydrodynamic component, advancing holographic duality understanding.

Findings

Resolved previous thermodynamic discrepancies.

Derived the dual stress-energy tensor with a universal coefficient.

Confirmed the mass via holographic and conformal methods.

Abstract

We present a careful study of accelerating black holes in anti-de Sitter spacetime, formulating the thermodynamics and resolving discrepancies that have appeared in previous investigations of the topic. We compute the dual stress-energy tensor for the spacetime and identify the energy density associated with a static observer at infinity. The dual energy-momentum tensor can be written as a three-dimensional perfect fluid plus a non-hydrodynamic contribution with a universal coefficient which is given in gauge theory variables. We demonstrate that both the holographic computation and the method of conformal completion yield the same result for the mass. We compare to previous work on black funnels and droplets, showing that the boundary region can be endowed with non-compact geometry, and comment on this novel holographic dual geometry.