Quantum extremal islands made easy. Part II. Black holes on the brane

Chen, Hong Zhe; Myers, Robert C.; Neuenfeld, Dominik; Reyes, Ignacio A.; Sandor, Joshua

doi:10.1007/jhep12(2020)025

Cited by 187

The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.

Quantum extremal islands made easy. Part II. Black holes on the brane

Chen, Hong Zhe, Myers, Robert C., Neuenfeld, Dominik, Reyes, Ignacio A., Sandor, Joshua·2020·Journal of High Energy Physics

DOI 10.1007/jhep12(2020)025

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Abstract

We discuss holographic models of extremal and non-extremal black holes in contact with a bath in d dimensions, based on a brane world model introduced in [1]. The main benefit of our setup is that it allows for a high degree of analytic control as compared to previous work in higher dimensions. We show that the appearance of quantum extremal islands in those models is a consequence of the well-understood phase transition of RT surfaces, and does not make any direct reference to ensemble averaging. For non-extremal black holes the appearance of quantum extremal islands has the right behaviour to avoid the information paradox in any dimension. We further show that for these models the calculation of the full Page curve is possible in any dimension. The calculation reduces to numerically solving two ODEs. In the case of extremal black holes in higher dimensions, we find no quantum extremal islands for a wide range of parameters. In two dimensions, our results agree with [2] at leading order; however a finite UV cutoff introduced by the brane results in subleading corrections. For example, these corrections result in the quantum extremal surfaces moving further outward from the horizon, and shifting the Page transition to a slightly earlier time.

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By applying doubly-holographic reasoning to higher-dimensional topological black holes, black strings, and de Sitter space, the prescription (7.6) yields unitary Page curves, except in cases where the horizon is extremal with a vanishing temperature.
“By applying this doubly-holographic reasoning to higher-dimensional topological black holes [65], black strings [264,265], and de Sitter space [83,266], the prescription (7.6) yields unitary Page curves, except in cases where the horizon is extremal with a vanishing temperature.”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [65]
In the context of topological black holes on the brane, the bulk is d+1-dimensional AdS-Rindler, for which the Rindler horizon induces a Rindler horizon on the brane.
“Alternatively, one can study topological black holes on the brane, e.g.,[53,65].In this context, the bulk is d + 1-dimensional AdS-Rindler, for which the Rindler horizon induces a Rindler horizon on the brane.”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [65]
Holographic braneworlds confirm unitary Page curves arise in higher-dimensional gravity.
“Originally achieved for models of two-dimensional dilaton gravity, 59 holographic braneworlds confirm unitary Page curves arise in higher-dimensional gravity [65,260].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [65]

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Self-citation

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Authors: Chen, H. Z., Myers, R. C., Neuenfeld, D., Reyes, I. A., & Sandor, J.
ORCID: Chen, Hong Zhe
Myers, Robert C.
Neuenfeld, Dominik
Reyes, Ignacio A.
Venue: Journal of High Energy Physics
Publisher: Springer Science and Business Media LLC
Published: 2020-12
Volume: 2020
Issue: 12
ISSN: 1029-8479
DOI: 10.1007/jhep12(2020)025
Cited by: 187
References: 26
Language: en
Licence: creativecommons.org/licenses/by/4.0 (tdm)
creativecommons.org/licenses/by/4.0 (vor, 2 d)

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Quantum extremal islands made easy. Part II. Black holes on the brane

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