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Holographic duals of evaporating black holes
Abstract
We describe the dynamical evaporation of a black hole as the classical evolution in time of a black hole in an Anti-de Sitter braneworld. A bulk black hole whose horizon intersects the brane yields the classical bulk dual of a black hole coupled to quantum conformal fields. The evaporation of this black hole happens when the bulk horizon slides off the brane, making the horizon on the brane shrink. We use a large-D effective theory of the bulk Einstein equations to solve the time evolution of these systems. With this method, we study the dual evaporation of a variety of black holes interacting with colder radiation baths. We also obtain the dual of the collapse of holographic radiation to form a black hole on the brane. Finally, we discuss the evolution of the Page curve of the radiation in our evaporation setups, with entanglement islands appearing and then shrinking during the decreasing part of the curve.
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“However, static braneworld black holes in higher-dimensions have been found numerically, e.g., [67][68][69][70][71][72], and the qualitative argument was shown to have flaws [69].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [72]
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“According to [72,215], their semi-classical dynamics are always dual to classical Gregory-Laflamme-like dynamics of bulk black holes.”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [72]
In the citing paper
“In fact, there are several examples of higher-dimensional static braneworld black holes, both analytically and numerically constructed [67][68][69][70][71][72][201][202][203][204][205][206][207][208].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [72]
In the citing paper
“Indeed, while some bulk black holes get stuck on the brane and never shrink ('black droplets') [71] and hence dynamically stable, there are other bulk black solutions that evaporate due to a Gregory-Laflamme instability [72], as originally suggested in [22,34].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [72]
In the citing paper
“There are in fact several examples of evaporating braneworld black holes (see [72] for details).”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [72]
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Citations
Cites
Information in black hole radiation
Page, D. N. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3743 · Cited by 1,172 · cited 1×
“Finally, braneworld holography has been revisited in recent times in order to derive the Page curve [34] followed by the entanglement entropy of the radiation emitted by a black”
BackgroundEntanglement wedge reconstruction and the information paradox
Penington, G. (2020) · Journal of High Energy Physics · doi:10.1007/jhep09(2020)002 · Cited by 968 · cited 2×
“In this case, the Page curve drops during the evaporation but, since the evolution stops at a stable uniform funnel, eventually the curve plateaus at a constant value, as in the scenarios in [32, 33, 43, 44].”
BackgroundThe Page curve of Hawking radiation from semiclassical geometry
Almheiri, A., Mahajan, R., Maldacena, J., & Zhao, Y. (2020) · Journal of High Energy Physics · doi:10.1007/jhep03(2020)149 · Cited by 898
The entropy of Hawking radiation
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E., & Tajdini, A. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.035002 · Cited by 706
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Cited by
Sorted by citations
Three-Dimensional Quantum Black Holes: A Primer
Panella, E., Pedraza, J. F., & Svesko, A. (2024) · Universe · doi:10.3390/universe10090358 · Cited by 24
Unveiling horizons in quantum critical collapse
Tomašević, M., & Wu, C.-H. (2026) · Journal of High Energy Physics · doi:10.1007/jhep04(2026)151 · Cited by 5
Self-citation
Metadata
- Authors
- Emparan, R., Luna, R., Suzuki, R., Tomašević, M., & Way, B.
- Venue
- Journal of High Energy Physics
- Published
- 2023-05-22
- Volume
- 2023
- Issue
- 5
- ISSN
- 1029-8479
- Cited by
- 24
- References
- 4
- Language
- en
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