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.
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Acknowledgments
We thank Moh Al Attar, Jose Barrientos, Saghar Hosseini, Viktor Matyas, Olivera Miskovic, and Rodrigo Olea for helpful discussions. GAH would like to thank Aristomenis Donos for his invaluable comments and insightful discussions, which contributed to the improvement of this paper. GAH also thanks Mohamed Anber and Jerome Gauntlett for their useful comments and discussions regarding this work. AC and FD would like to thank the hospitality of the Institute of Mathematics of the Czech Academy of Science during the final stage of this project. The work of GAH is funded by Becas Chile (ANID) Scholarship No. 72200271. AC work is partially funded by FONDECYT Regular grant No. 1210500 and Primus grant PRIMUS/23/SCI/005 from Charles University. The work of FD is supported by Beca Doctorado Nacional (ANID) 2021 Scholarship No. 21211335, ANID/ACT210100 Anillo Grant “Holography and its applications to high energy physics, quantum gravity and condense matter systems” and FONDECYT Regular grant No. 1210500. The work of RG is supported in part by the STFC Consolidated Grant ST/P000371/1. RG would like to thank the Perimeter Institute for Theoretical Physics for hospitality. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities.
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Arenas-Henriquez, G., Cisterna, A., Diaz, F. et al. Accelerating black holes in 2 + 1 dimensions: holography revisited. J. High Energ. Phys. 2023, 122 (2023). https://doi.org/10.1007/JHEP09(2023)122
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DOI: https://doi.org/10.1007/JHEP09(2023)122