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Hawking radiation and Page curve of regular black holes |
Chen-Yang Dong(董晨阳) and Li-Jun Tian(田立君)† |
Department of Physics, Shanghai University, Shanghai 200444, China |
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Abstract We discuss the information paradox and its implications for regular black holes. Our primary focus is on Page curve using the island treatment and analyzing relevant parameters like Page time and scrambling time. Calculations without considering the island show that the entanglement entropy increases linearly and continues to infinity. When we consider the generalized entropy, we find that the island extends just beyond the horizon, leading to a constant entanglement entropy. Specifically, we find that in the early stages, the island never forms, regardless of the charge and mass configuration of the black hole.
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Received: 25 June 2024
Revised: 26 October 2024
Accepted manuscript online:
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PACS:
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04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12275166 and 12311540141). |
Corresponding Authors:
Li-Jun Tian
E-mail: asahi@shu.edu.cn;tianlijun@shu.edu.cn
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Cite this article:
Chen-Yang Dong(董晨阳) and Li-Jun Tian(田立君)† Hawking radiation and Page curve of regular black holes 2025 Chin. Phys. B 34 020401
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[1] Hawking S W 1976 Phys. Rev. D 14 2460 [2] Hawking S W 1975 Commun. Math. Phys. 43 199 [3] Bardeen J M, Carter B and Hawking S W 1973 Commun. Math. Phys. 31 161 [4] Wald R M 1975 Commun. Math. Phys. 45 9 [5] Page D N 1993 Phys. Rev. Lett. 71 3743 [6] Maldacena J 1999 Int. J. Theor. Phys. 38 1113 [7] Horowitz G T and Maldacena J 2004 Journal of High Energy Physics 2004 008 [8] Ge X H and Shen Y G 2005 Phys. Lett. B 612 61 [9] Ge X H and Shen Y G 2004 Classical and Quantum Gravity 21 1941 [10] Almheiri A, Mahajan R, Maldacena J and Zhao Y 2020 Journal of High Energy Physics 2020 149 [11] Ryu S and Takayanagi T 2006 Phys. Rev. Lett. 96 181602 [12] Barrella T, Dong X, Hartnoll S A and Martin V L 2013 Journal of High Energy Physics 2013 1 [13] Faulkner T, Lewkowycz A and Maldacena J 2013 Journal of High Energy Physics 2013 60 [14] Engelhardt N and Wall A C 2015 Journal of High Energy Physics 2015 73 [15] Almheiri A, Engelhardt N, Marolf D and Maxfield H 2019 Journal of High Energy Physics 2019 63 [16] Penington G 2020 Journal of High Energy Physics 2020 1 [17] Srednicki M 1993 Phys. Rev. Lett. 71 666 [18] Bombelli L, Koul R K, Lee J and Sorkin R D 1986 Phys. Rev. D 34 373 [19] Susskind L and Uglum J 1994 Phys. Rev. D 50 2700 [20] Lu C Y, Yu M H, Ge X H, et al. 2023 Eur. Phys. J. C 83 215 [21] Gao P and Lamprou L 2022 Journal of High Energy Physics 2022 1 [22] Maldacena J and Milekhin A 2021 Journal of High Energy Physics 2021 139 [23] Almheiri A, Hartman T, Maldacena J, Shaghoulian E and Tajdini A 2021 Rev. Mod. Phys. 93 035002 [24] Almheiri A, Mahajan R and Maldacena J 2019 arXiv preprint arXiv: 1910.11077 ArXiv:1910.11077[hep-th] [25] Penington G, Shenker S H, Stanford D and Yang Z 2022 Journal of High Energy Physics 2022 205 [26] Saad P, Shenker S H and Stanford D 2018 arXiv preprint [27] Rosenhaus V 2019 J. Phys. A:Math. Theor. 52 323001 [28] Raju S 2022 Classical and Quantum Gravity 39 064002 [29] Geng H, Karch A, Perez-Pardavila C, Raju S, Randall L, Riojas M and Shashi S 2022 Journal of High Energy Physics 2022 182 [30] He S, Sun Y, Zhao L and Zhang Y X 2022 Journal of High Energy Physics 2022 47 [31] Krishnan C, Patil V and Pereira J 2020 arXiv preprint arXiv: 2005.02993 [32] Gautason F F, Schneiderbauer L, Sybesma W and Thorlacius L 2020 Journal of High Energy Physics 2020 91 [33] Anegawa T and Iizuka N 2020 Journal of High Energy Physics 2020 1 [34] Hashimoto K, Iizuka N and Matsuo Y 2020 Journal of High Energy Physics 2020 85 [35] Wang X, Li R and Wang J 2021 Journal of High Energy Physics 2021 1 [36] Yu M H, Lu C Y, Ge X H and Sin S J 2022 Phys. Rev. D 105 066009 [37] Caceres E, Kundu A, Patra A K and Shashi S 2021 Journal of High Energy Physics 2021 4 [38] Ahn B, Bak S E, Jeong H S, Kim K Y and Sun Y W 2022 Phys. Rev. D 105 046012 [39] Yu M H and Ge X H 2022 Eur. Phys. J. C 82 14 [40] Geng H, Lust S, Mishra R K and Wakeham D 2021 Journal of High Energy Physics 2021 3 [41] Anand A 2023 arXiv preprint arXiv:2308.05432 [42] Lu C Y, Yu M H, Ge X H and Tian L J 2023 Eur. Phys. J. C 83 215 [43] Yu M H and Ge X H 2023 Phys. Rev. D 107 066020 [44] Yu M H, Ge X H and Lu C Y 2023 Eur. Phys. J. C 83 1104 [45] Lin S Y, Yu M H, Ge X H and Tian L J 2024 arXiv preprint arXiv 2405.06873 [46] Lan C, Yang H, Guo Y and Miao Y G 2023 Int. J. Theor. Phys. 62 202 [47] Ansoldi S 2008 Spherical black holes with regular center:a review of existing models including a recent realization with Gaussian sources [48] Bardeen J 1968 Proceedings of the 5th International Conference on Gravitation and the Theory of Relativity p. 87 [49] Hayward S A 2006 Phys. Rev. Lett. 96 031103 [50] Frolov V P 2014 Journal of High Energy Physics 2014 1 [51] Lan C and Miao Y G 2023 Chin. Phys. Lett. 40 120401 [52] Xiang L, Ling Y and Shen Y G 2013 Int. J. Mod. Phys. D 22 1342016 [53] Culetu H 2013 arXiv preprint arXiv:1305.5964 [54] Ling Y and Wu M H 2023 Classical and Quantum Gravity 40 075009 [55] Hayward S A 2005 The disinformation problem for black holes (conference version)(Preprint gr-qc/0504037) [56] Pradhan P and Majumdar P 2011 Phys. Lett. A 375 474 [57] Maldacena J and Susskind L 2013 Fortschritte der Physik 61 781 |
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