Abstract
We describe the dynamical evaporation of a black hole as the classical evolution in time of a black hole in an Anti-de Sitter braneworld. A bulk black hole whose horizon intersects the brane yields the classical bulk dual of a black hole coupled to quantum conformal fields. The evaporation of this black hole happens when the bulk horizon slides off the brane, making the horizon on the brane shrink. We use a large-D effective theory of the bulk Einstein equations to solve the time evolution of these systems. With this method, we study the dual evaporation of a variety of black holes interacting with colder radiation baths. We also obtain the dual of the collapse of holographic radiation to form a black hole on the brane. Finally, we discuss the evolution of the Page curve of the radiation in our evaporation setups, with entanglement islands appearing and then shrinking during the decreasing part of the curve.
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Acknowledgments
We gladly acknowledge discussions with Brianna Grado-White, Tom Hartman, Dominik Neuenfeld, David Mateos, Marco Meineri, Mukund Rangamani, Mikel Sanchez-Garitaonandia, Jorge Santos, Martín Sasieta, Christoph Uhlemann, and Toby Wiseman. RE is especially grateful to Nemanja Kaloper and Takahiro Tanaka for many conversations on holographic evaporation over the years. Work supported by ERC Advanced Grant GravBHs-692951, MICINN grant PID2019-105614GB-C22, AGAUR grant 2017-SGR 754, and State Research Agency of MICINN through the “Unit of Excellence María de Maeztu 2020-2023” award to the Institute of Cosmos Sciences (CEX2019-000918-M). RL acknowledges financial support provided by Next Generation EU through a University of Barcelona Margarita Salas grant from the Spanish Ministry of Universities under the Plan de Recuperación, Transformación y Resiliencia and by Generalitat Valenciana / Fons Social Europeu through APOSTD 2022 post-doctoral grant CIAPOS/2021/150. Work supported by Spanish Agencia Estatal de Investigación (Grant PID2021-125485NB-C21) funded by MCIN/AEI/10.13039/501100011033 and ERDF A way of making Europe, and the Generalitat Valenciana (Grant PROMETEO/2019/071). RS is supported by JSPS KAKENHI Grant Number JP18K13541 and partly by Toyota Technological Institute Fund for Research Promotion A. The work of MT is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No 852386).
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Emparan, R., Luna, R., Suzuki, R. et al. Holographic duals of evaporating black holes. J. High Energ. Phys. 2023, 182 (2023). https://doi.org/10.1007/JHEP05(2023)182
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DOI: https://doi.org/10.1007/JHEP05(2023)182