Geodesic
A note on islands in Schwarzschild black holes
Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 3, pp. 500-516 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{TMF_2023_214_3_a7,
     author = {I. Ya. Aref'eva and I. V. Volovich},
     title = {A note on islands in {Schwarzschild} black holes},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {500--516},
     year = {2023},
     volume = {214},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_214_3_a7/}
}
TY  - JOUR
AU  - I. Ya. Aref'eva
AU  - I. V. Volovich
TI  - A note on islands in Schwarzschild black holes
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2023
SP  - 500
EP  - 516
VL  - 214
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2023_214_3_a7/
LA  - ru
ID  - TMF_2023_214_3_a7
ER  - 
%0 Journal Article
%A I. Ya. Aref'eva
%A I. V. Volovich
%T A note on islands in Schwarzschild black holes
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2023
%P 500-516
%V 214
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2023_214_3_a7/
%G ru
%F TMF_2023_214_3_a7
I. Ya. Aref'eva; I. V. Volovich. A note on islands in Schwarzschild black holes. Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 3, pp. 500-516. http://geodesic.mathdoc.fr/item/TMF_2023_214_3_a7/

[1] S. W. Hawking, “Particle creation by black holes”, Comm. Math. Phys., 43:3 (1975), 199–220 | DOI | MR

[2] S. W. Hawking, “Breakdown of predictability in gravitational collapse”, Phys. Rev. D, 14:10 (1976), 2460–2473 | DOI | MR

[3] D. N. Page, “Information in black hole radiation”, Phys. Rev. Lett., 71:23 (1993), 3743–3746, arXiv: hep-th/9306083 | DOI | MR

[4] D. N. Page, “Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole”, Phys. Rev. D, 13 (1976), 198–206 | DOI

[5] D. N. Page, “Time dependence of Hawking radiation entropy”, J. Cosmol. Astropart. Phys., 2013:09 (2013), 028, 27 pp., arXiv: 1301.4995 | DOI | MR

[6] G. Penington, “Entanglement wedge reconstruction and the information paradox”, JHEP, 2020:09 (2020), 002, 83 pp., arXiv: 1905.08255 | DOI | MR

[7] A. Almheiri, N. Engelhardt, D. Marolf, H. Maxfield, “The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole”, JHEP, 2019:12 (2019), 063, 46 pp., arXiv: 1905.08762 | DOI | MR

[8] A. Almheiri, R. Mahajan, J. Maldacena, Y. Zhao, “The Page curve of Hawking radiation from semiclassical geometry”, JHEP, 03 (2020), 149, 24 pp., arXiv: 1908.10996 | DOI | MR

[9] A. Almheiri, R. Mahajan, J. Maldacena, Islands outside the horizon, arXiv: 1910.11077

[10] A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, A. Tajdini, “The entropy of Hawking radiation”, Rev. Modern Phys., 93:3 (2021), 035002, 23 pp., arXiv: 2006.06872 | DOI | MR

[11] N. Engelhardt, A. C. Wall, “Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime”, JHEP, 2015:01 (2015), 073, 27 pp., arXiv: 1408.3203 | DOI

[12] L. Bombelli, R. K. Koul, J. Lee, R. D. Sorkin, “Quantum source of entropy for black holes”, Phys. Rev. D, 34:2 (1986), 373–383 | DOI | MR

[13] M. Srednicki, “Entropy and area”, Phys. Rev. Lett., 71:5 (1993), 666–669, arXiv: hep-th/9303048 | DOI | MR

[14] A. Almheiri, R. Mahajan, J. E. Santos, “Entanglement islands in higher dimensions”, SciPost Phys., 9:1 (2020), 001, 18 pp., arXiv: 1911.09666 | DOI | MR

[15] H. Z. Chen, Z. Fisher, J. Hernandez, R. C. Myers, S.-M. Ruan, “Information flow in black hole evaporation”, JHEP, 03 (2020), 152, 49 pp., arXiv: 1911.03402 | DOI | MR

[16] D. Marolf, H. Maxfield, “Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information”, JHEP, 08 (2020), 044, 71 pp., arXiv: 2002.08950 | DOI | MR

[17] R. Bousso, M. Tomašević, “Unitarity from a smooth horizon?”, Phys. Rev. D, 102:10 (2020), 106019, 14 pp., arXiv: 1911.06305 | DOI | MR

[18] V. Balasubramanian, A. Kar, O. Parrikar, G. Sárosi, T. Ugajin, “Geometric secret sharing in a model of Hawking radiation”, JHEP, 01 (2021), 177, 43 pp., arXiv: 2003.05448 | DOI | MR

[19] T. Hartman, J. Maldacena, “Time evolution of entanglement entropy from black hole interiors”, JHEP, 05 (2013), 014, 27 pp., arXiv: 1303.1080 | DOI | MR

[20] G. Penington, S. H. Shenker, D. Stanford, Z. Yang, Replica wormholes and the black hole interior, arXiv: 1911.11977

[21] A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, A. Tajdini, “Replica wormholes and the entropy of Hawking radiation”, JHEP, 05 (2020), 013, 41 pp., arXiv: 1911.12333 | DOI | MR

[22] T. Faulkner, A. Lewkowycz, J. Maldacena, “Quantum corrections to holographic entanglement entropy”, JHEP, 11 (2013), 074, 18 pp., arXiv: 1307.2892 | DOI | Zbl

[23] S. Ryu, T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT”, Phys. Rev. Lett., 96:18 (2006), 181602, 4 pp., arXiv: hep-th/0603001 | DOI | MR

[24] V. E. Hubeny, M. Rangamani, T. Takayanagi, “A covariant holographic entanglement entropy proposal”, JHEP, 07 (2007), 062, 64 pp., arXiv: 0705.0016 | DOI | MR

[25] C. G. Callan, F. Wilczek, “On geometric entropy”, Phys. Lett. B, 333:1–2 (1994), 55–61, arXiv: hep-th/9401072 | DOI | MR

[26] C. Holzhey, F. Larsen, F. Wilczek, “Geometric and renormalized entropy in conformal field theory”, Nucl. Phys. B, 424:3 (1994), 443–467, arXiv: hep-th/9403108 | DOI | MR

[27] P. Calabrese, J. Cardy, “Entanglement entropy and conformal field theory”, J. Phys. A, 42:50 (2009), 504005, 36 pp., arXiv: 0905.4013 | DOI | MR

[28] T. J. Hollowood, S. P. Kumar, Islands and Page curves for evaporating black holes in JT gravity, arXiv: 2004.14944

[29] D. S. Ageev, I. Ya. Arefeva, A. V. Lysukhina, “O krotovykh norakh v gravitatsii Dzhekiva–Teitelboima”, TMF, 201:3 (2019), 424–439 | DOI | DOI | MR

[30] H. Z. Chen, Z. Fisher, J. Hernandez, R. C. Myers, S.-M. Ruan, “Evaporating black holes coupled to a thermal bath”, JHEP, 01 (2021), 065, 70 pp., arXiv: 2007.11658 | DOI | MR

[31] H. Geng, A. Karch, C. Perez-Pardavila, S. Raju, L. Randall, M. Riojas, S. Shashi, “Information transfer with a gravitating bath”, SciPost Phys., 10:5 (2021), 103, 37 pp., arXiv: 2012.04671 | DOI | MR

[32] H. Z. Chen, R. C. Myers, D. Neuenfeld, I. A. Reyes, J. Sandor, “Quantum extremal islands made easy. Part I. Entanglement on the brane”, JHEP, 10 (2020), 166, 68 pp., arXiv: 2006.04851 | DOI | MR

[33] H. Z. Chen, R. C. Myers, D. Neuenfeld, I. A. Reyes, J. Sandor, “Quantum extremal islands made easy. Part II. Black holes on the brane”, JHEP, 12 (2020), 025, 80 pp., arXiv: 2010.00018 | DOI | MR

[34] J. Hernandez, R. C. Myers, S. M. Ruan, “Quantum extremal islands made easy. Part III. Complexity on the brane”, JHEP, 02 (2021), 173, 51 pp., arXiv: 2010.16398 | DOI | MR

[35] S. Colin-Ellerin, X. Dong, D. Marolf, M. Rangamani, Z. Wang, Real-time gravitational replicas: Low dimensional examples, arXiv: 2105.07002

[36] S. Colin-Ellerin, X. Dong, D. Marolf, M. Rangamani, Z. Wang, “Real-time gravitational replicas: formalism and a variational principle”, JHEP, 05 (2021), 117, 40 pp., arXiv: 2012.00828 | DOI | MR

[37] V. Balasubramanian, B. Craps, M. Khramtsov, E. Shaghoulian, “Submerging islands through thermalization”, JHEP, 10 (2021), 48, 23 pp., arXiv: 2107.14746 | DOI

[38] F. F. Gautason, L. Schneiderbauer, W. Sybesma, L. Thorlacius, “Page curve for an evaporating black hole”, JHEP, 05 (2020), 91, 23 pp., arXiv: 2004.00598 | DOI

[39] T. Anegawa, N. Iizuka, “Notes on islands in asymptotically flat 2d dilaton black holes”, JHEP, 07 (2020), 36, 14 pp., arXiv: 2004.01601 | DOI

[40] T. Hartman, E. Shaghoulian, A. Strominger, “Islands in asymptotically flat 2D gravity”, JHEP, 07 (2020), 22, 29 pp., arXiv: 2004.13857 | DOI

[41] K. Hashimoto, N. Iizuka, Y. Matsuo, “Islands in Schwarzschild black holes”, JHEP, 06 (2020), 085, 20 pp., arXiv: 2004.05863 | DOI | MR

[42] C. Krishnan, V. Patil, J. Pereira, Page curve and the information paradox in flat space, arXiv: 2005.02993

[43] M. Alishahiha, A. Faraji Astaneh, A. Naseh, “Island in the presence of higher derivative terms”, JHEP, 2021:02 (2021), 035, 20 pp., arXiv: 2005.08715 | DOI | MR

[44] Y. Matsuo, “Islands and stretched horizon”, JHEP, 2021:07 (2021), 051, 29 pp., arXiv: 2011.08814 | DOI | MR

[45] I. Aref'eva, I. Volovich, “Quantum explosions of black holes and thermal coordinates”, Symmetry, 14:11 (2022), 2298, 30 pp., arXiv: 2104.12724 | DOI

[46] R. M. Wald, General Relativity, University of Chicago Press, Chicago, IL, 1984 | DOI | MR

[47] D. S. Ageev, I. Y. Aref'eva, A. I. Belokon, A. V. Ermakov, V. V. Pushkarev, T. A. Rusalev, Entanglement islands andiInfrared anomalies in Schwarzschild black hole, arXiv: 2209.00036

[48] I. Aref'eva, “Missed opportunities of overcoming deadlocks”, Internat. J. Modern Phys. A, 37:20–21 (2022), 2243004, 11 pp. | DOI | MR

[49] A. Saha, S. Gangopadhyay, J. P. Saha, “Mutual information, islands in black holes and the Page curve”, Eur. Phys. J. C, 82 (2022), 476, 7 pp., arXiv: 2109.02996 | DOI

[50] A. Bhattacharya, A. Bhattacharyya, P. Nandy, A. K. Patra, “Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model”, JHEP, 05 (2021), 135, 30 pp., arXiv: 2103.15852 | DOI | MR

[51] H. Geng, A. Karch, C. Perez-Pardavila, S. Raju, L. Randall, M. Riojas, S. Shashi, “Inconsistency of islands in theories with long-range gravity”, JHEP, 01 (2022), 182, 46 pp., arXiv: 2107.03390 | DOI

[52] X. Wang, R. Li, J. Wang, “Islands and Page curves of Reissner–Nordström black holes”, JHEP, 2021:04 (2021), 103, 19 pp., arXiv: 2101.06867 | DOI | MR

[53] W. Kim, M. Nam, “Entanglement entropy of asymptotically flat non-extremal and extremal black holes with an island”, Eur. Phys. J. C, 81:10 (2021), 869, 10 pp., arXiv: 2103.16163 | DOI

[54] I. Ya. Arefeva, I. V. Volovich, T. A. Rusalev, “Entropiya zatseplennosti pochti ekstremalnoi chernoi dyry”, TMF, 212:3 (2022), 457–477, arXiv: 2202.10259 | DOI | DOI

[55] H. Geng, Y. Nomura, H.-Y. Sun, “Information paradox and its resolution in de Sitter holography”, Phys. Rev. D, 103:12 (2021), 126004, 8 pp., arXiv: 2103.07477 | DOI | MR

[56] M. Rozali, J. Sully, M. Van Raamsdonk, C. Waddell, D. Wakeham, “Information radiation in BCFT models of black holes”, JHEP, 05 (2020), 004, 33 pp., arXiv: 1910.12836 | DOI | MR

[57] J. Sully, M. V. Van Raamsdonk, D. Wakeham, “BCFT entanglement entropy at large central charge and the black hole interior”, JHEP, 03 (2021), 167, 44 pp., arXiv: 2004.13088 | DOI | MR

[58] H. Geng, S. Lüst, R. K. Mishra, D. Wakeham, “Holographic BCFTs and communicating black holes”, JHEP, 08 (2021), 003, 36 pp., arXiv: 2104.07039 | DOI | MR

[59] D. S. Ageev, Shaping contours of entanglement islands in BCFT, arXiv: 2107.09083

[60] P. Chen, D. H. Yeom, “Entropy evolution of moving mirrors and the information loss problem”, Phys. Rev. D, 96:2 (2017), 025016, 9 pp., arXiv: 1704.08613 | DOI | MR

[61] I. Akal, Y. Kusuki, N. Shiba, T. Takayanagi, Z. Wei, “Entanglement entropy in a holographic moving mirror and the Page curve”, Phys. Rev. Lett., 126:6 (2021), 061604, 7 pp., arXiv: 2011.12005 | DOI | MR

[62] M.-H. Yu, X.-H. Ge, Page curves and islands in charged dilaton black holes, arXiv: 2107.03031

[63] B. Ahn, S.-E. Bak, H.-S. Jeong, K.-Y. Kim, Y.-W. Sun, “Islands in charged linear dilaton black holes”, Phys. Rev. D, 105:4 (2022), 046012, 13 pp., arXiv: 2107.07444 | DOI

[64] D. S. Ageev, I. Y. Aref'eva, “Thermal density matrix breaks down the Page curve”, Eur. Phys. J. Plus, 137:10 (2022), 1188, 14 pp., arXiv: 2206.04094 | DOI

[65] M. Ammon, J. Erdmenger, Gauge/Gravity Duality: Foundations and Applications, Cambridge Univ. Press, Cambridge, 2015 | DOI

[66] Jan Zaanen, Y. Liu, Y.-W. Sun, K. Schalm, Holographic Duality in Condensed Matter Physics, Cambridge Univ. Press, Cambridge, 2015 | DOI

[67] I. Ya. Arefeva, “Golograficheskoe opisanie kvark-glyuonnoi plazmy, obrazuyuscheisya pri stolknoveniyakh tyazhelykh ionov”, UFN, 184:6 (2014), 569–598 | DOI | DOI

[68] Th. M. Nieuwenhuizen, I. V. Volovich, “Role of various entropies in the black hole information loss problem”, Beyond the Quantum (Lorentz Center Leiden, The Netherlands, 29 May – 2 June, 2006), eds. Th. M. Nieuwenhuizen, B. Mehmani, V. Špička, M. J. Aghdami, A. Yu. Khrennikov, World Sci., Singapore, 2007, 135–145, arXiv: hep-th/0507272 | DOI