Island, Page curve, and superradiance of rotating BTZ black holes

Yu, Ming-Hui; Lu, Cheng-Yuan; Ge, Xian-Hui; Sin, Sang-Jin

doi:10.1103/physrevd.105.066009

Cited by 31 publications

(4 citation statements)

References 66 publications

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“…To date, most of the research addressing the information paradox for dimensions d ≥ 3 has predominantly concentrated on the study of eternal black holes, as in a series of important works [21,36,46,75,85,[103][104][105][106]. However, recent developments have focused on understanding the implications of Hawking radiation within time-dependent backgrounds.…”

Section: Motivation and Discussionmentioning

confidence: 99%

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Page curve of AdS-Vaidya model for evaporating black holes

Chou,

Lao,

Yang

2024

J. High Energ. Phys.

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We study an evaporating black hole in the boundary conformal field theory (BCFT) model under the fully time-dependent AdS-Vaidya spacetime geometry. We introduce the time-dependent finite bath termed the effective Hawking radiation region. This is described by a nontrivial BCFT solution that acts as a time-dependent brane which we call the moving end-of-the-radiation (METR) brane that leads to a new type of Hubeny-Rangamani-Takayanagi surface. We further examine the island formulation in this particular time-dependent spacetime. The Page curve is calculated by using Holographic Entanglement Entropy (HEE) in the context of double holography.

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Section: Motivation and Discussionmentioning

confidence: 99%

“…To date, most works on the information problem for dimensions d ≥ 3 have been focused on eternal black holes [21,36,46,75,85,[103][104][105][106]. In addition, even though the model in [108] has considered some element of dynamical evolution on the brane, the bulk is still essentially a static spacetime.…”

Section: Evaporating Black Holementioning

confidence: 99%

Page curve of AdS-Vaidya model for evaporating black holes

Chou,

Lao,

Yang

2024

J. High Energ. Phys.

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“…The island formula was studied in the context of 2D Jackiw-Teitelboim (JT) gravity [15] coupled with CFT matters first [10]. It was then extended to black holes that are not asymptotically AdS, and was even extended to higher dimensions [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Islands for dynamically evaporating black holes was considered in Refs.…”

Section: Introductionmentioning

confidence: 99%

Effective reflected entropy and entanglement negativity for general 2D eternal black holes

Jiong¹,

Lu²

2022

Preprint

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Both reflected entropy and entanglement negativity provide valid measures of entanglement between subsystems of a mixed state. For general 2D eternal black holes coupled with CFT matters in large c limit, we perform the replica-trick computation and find that both effective Renyi reflected entropy and effective entanglement negativity can be expressed in terms of the combination of modified backreacting cosmic branes in AdS 3 bulk. We then develop a holographic scheme to calculate effective reflected entropy and entanglement negativity for general 2D eternal black holes coupled with CFT matters in large c limit. Using the scheme, we check the consistency condition of the island formulae for entanglement negativity and reflected entropy. We find that the combinations of modified backreacting cosmic branes in AdS 3 bulk from the two island proposals of entanglement negativity exactly match with each other. Finally, we study the saturation of the reflected entropy inequality.

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“…Due to this remarkable observation, the island formulation has emerged as an important prescription to be studied [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”

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confidence: 99%

The role of mutual information in the Page curve

Chowdhury¹,

Gangopadhyay²

2022

Preprint

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In this letter, we give two proposals regarding the status of connectivity of entanglement wedges and the associated saturation of mutual information. The first proposal has been given for the scenario before the Page time depicting the fact that the early to late time transition can be obtained from the status of the radiation entanglement wedge. In particular, we compute the time where the mutual information between the regions where the Hawking radiation gets collected vanishes before the formation of the island. We argue that this time is the Hartman-Maldacena time at which the fine-grained entropy of radiation goes as ∼ log(β) where β is the inverse of Hawking temperature of the black hole. On the other hand, the second proposal probes the crucial role played by the mutual information of black hole subsystems in obtaining the correct Page curve of radiation.

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Island, Page curve, and superradiance of rotating BTZ black holes

Cited by 31 publications

References 66 publications

Page curve of AdS-Vaidya model for evaporating black holes

Page curve of AdS-Vaidya model for evaporating black holes

Effective reflected entropy and entanglement negativity for general 2D eternal black holes

The role of mutual information in the Page curve

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