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arXiv · 2308.00613

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

Gabriel Arenas-Henriquez·Adolfo Cisterna·Felipe Diaz·Ruth Gregory
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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.

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Gabriel Arenas-Henriquez, Adolfo Cisterna, Felipe Diaz, Ruth Gregory. 2023-08-01. Accelerating Black Holes in $2+1$ dimensions: Holography revisited. https://arxiv.org/abs/2308.00613

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