Abstract:
We consider evaporation of the Schwarzschild black hole and note that island configurations do not provide a bounded entanglement entropy. The same remark is also valid for some other static black holes. A proposal for improving the situation is discussed.
Keywords:
black holes, entanglement entropy, island configuration.
This work was done at the Steklov Mathematical
Institute, Russian Academy of Sciences, and was supported by the Russian Science Foundation grant No. 19-11-00320,
https://rscf.ru/project/19-11-00320/.
Citation:
I. Ya. Aref'eva, I. V. Volovich, “A note on islands in Schwarzschild black holes”, TMF, 214:3 (2023), 500–516; Theoret. and Math. Phys., 214:3 (2023), 432–445
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\by I.~Ya.~Aref'eva, I.~V.~Volovich
\paper A note on islands in Schwarzschild black holes
\jour TMF
\yr 2023
\vol 214
\issue 3
\pages 500--516
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\jour Theoret. and Math. Phys.
\yr 2023
\vol 214
\issue 3
\pages 432--445
\crossref{https://doi.org/10.1134/S004057792303008X}
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Linking options:
https://www.mathnet.ru/eng/tmf10386
https://doi.org/10.4213/tmf10386
https://www.mathnet.ru/eng/tmf/v214/i3/p500
This publication is cited in the following 15 articles:
A. I. Belokon, “Finite entangling regions and information paradox in charged black holes”, Theoret. and Math. Phys., 222:1 (2025), 154–169
Dmitry S. Ageev, Irina Ya. Aref'eva, Timofei A. Rusalev, “Black holes, cavities, and blinking islands”, Phys. Rev. D, 111:2 (2025)
Hao Geng, “Replica wormholes and entanglement islands in the Karch-Randall braneworld”, J. High Energ. Phys., 2025:1 (2025)
Chen-Wei Tong, Dong-Hui Du, Jia-Rui Sun, “Island of Reissner-Nordström anti–de Sitter black holes in the large
D
limit”, Phys. Rev. D, 109:10 (2024)
Kaberi Goswami, K. Narayan, “Small Schwarzschild de Sitter black holes, the future boundary and islands”, J. High Energ. Phys., 2024:5 (2024)
D. S. Ageev, I. Ya. Aref'eva, A. I. Belokon, V. V. Pushkarev, T. A. Rusalev, “Entanglement entropy in de Sitter: no pure states for conformal matter”, JHEP, 2024:5 (2024), 308
Chia-Jui Chou, Hans B. Lao, Yi Yang, “Page curve of AdS-Vaidya model for evaporating black holes”, J. High Energ. Phys., 2024:5 (2024)
Yun-Feng Qu, Yi-Ling Lan, Hongwei Yu, Wen-Cong Gan, Fu-Wen Shu, “Entanglement island and Page curve for one-sided charged black hole”, J. High Energ. Phys., 2024:8 (2024)
Jing-Cheng Chang, Song He, Yu-Xiao Liu, Long Zhao, “Island formula in Planck brane”, J. High Energ. Phys., 2023:11 (2023)
Mir Afrasiar, Jaydeep Kumar Basak, Ashish Chandra, Gautam Sengupta, “Islands for entanglement negativity in communicating black holes”, Phys. Rev. D, 108:6 (2023)
I. Ya. Aref'eva, D. S. Ageev, V. V. Pushkarev, T. A. Rusalev, A. V. Ermakov, A. I. Belokon, “Infrared regularization and finite size dynamics of entanglement entropy in Schwarzschild black hole”, Phys. Rev. D, 108 (2023), 046005
Anirban Roy Chowdhury, Ashis Saha, Sunandan Gangopadhyay, “Mutual information of subsystems and the Page curve for the Schwarzschild–de Sitter black hole”, Phys. Rev. D, 108:2 (2023)
I. V. Volovich, I. Ya. Aref'eva, “Quantum explosions of black holes”, Phys. Part. Nucl. Lett., 20:3 (2023), 416–420
Chang-Zhong Guo, Wen-Cong Gan, Fu-Wen Shu, “Page curves and entanglement islands for the step-function Vaidya model of evaporating black holes”, J. High Energ. Phys., 2023:5 (2023)