Accelerating Black Holes in $2+1$ dimensions: Holography revisited

TL;DR

This paper explores the holographic dual of accelerating black holes in 2+1 dimensions, analyzing boundary data, stress tensors, and entanglement entropy, revealing how acceleration affects information accessibility in the dual conformal field theory.

Contribution

It provides a detailed holographic analysis of accelerating black holes in 2+1 dimensions, including boundary conditions, stress tensor computation, and entanglement entropy, with novel insights into acceleration effects.

Findings

Acceleration reduces the accessible boundary region.

Entanglement entropy decreases with acceleration.

Holographic stress tensor corresponds to a perfect fluid.

Abstract

This paper studies the holographic description of $2+1-$dimensional accelerating black holes. We start by using an ADM decomposition of the coordinates suitable to identify boundary data. As a consequence, the holographic CFT lies in a fixed curved background which is described by the holographic stress tensor of a perfect fluid. We compute the Euclidean action ensuring that the variational principle is satisfied in the presence of the domain wall. This requires including the Gibbons--Hawking--York term associated with internal boundaries on top of the standard renormalised AdS$_{3}$ action. Finally, we compute the entanglement entropy by firstly mapping the solution to the Rindler--AdS spacetime in which the Ryu--Takayanagi surface is easily identifiable. We found that as the acceleration increases the accessible region of the conformal boundary decreases and also the entanglement entropy, indicating a loss of information in the dual theory due to acceleration.