Accelerating black holes in 2 + 1 dimensions: holography revisited

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 AdS3 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.

Aspects of three-dimensional C-metric

“…The 3D C-metrics are expected to serve as a simplified research framework for exploring the quantum or holographic features of acceleration. As nicely demonstrated in [45], each class describes a particular patch of the global AdS 3 spacetime. The boundaries of the patch can either be a horizon, the conformal boundary or a EOW brane.…”

“…Obviously, the maximal C-metrics (1.3) are all bounded by the tensionless EOW branes at x = ±1. One can also consider non-maximal C-metrics and by gluing them along the EOW branes more interesting geometries can be constructed as shown in [45] which can describe accelerating particles or accelerating black holes. It turns out that if we fix the asymptotic 2D Euclidean boundary to be a torus, there are at least seven possible bulk solutions.…”

“…In this work, we show how to use FG gauge to systematically study the holographic properties of the 3D C-metric in which all the conformal representatives are put on the same footing. One thing we must emphasize is the difference between our work and [45] is here we analyze the problem without taking a particular gauge and incorporate the idea of AdS/BCFT. We will focus on the example of the class I solution since the analysis on other JHEP03(2024)079 cases are parallel and some of details about other solutions will be presented in the appendix.…”

Notes on emergent conformal symmetry for black holes

“…This is equivalent to the sl(2, R) QNM algebra in the 4 Certainly, the precondition is that there is a photon ring outside the black hole, see [60] (and references therein) for the photon ring topology of asymptotically flat, AdS, and dS spacetimes and see [61] for the possibility of lack of a photon ring in the Melvin spacetime. It is worth noting that in the case of the three-dimensional Bañados-Teitelboim-Zanelli (BTZ) black hole, whether it is rotating or non-rotating [62], charged or uncharged [63], or accelerating or non-accelerating [64][65][66][67], there is no presence of a photon ring.…”

Warped conformal symmetries of the accelerating Kerr black hole

“…The black hole entropy in the accelerating case still matches the result from the Cardy formula. See [24,25] for holographic properties of the accelerating black holes in lower dimensions. One next step is to ask whether the 2D CFT is unique for holographic descriptions of a generic accelerating Kerr black hole.…”