Restricted Maximin surfaces and HRT in generic black hole spacetimes
Open accessAbstract
The AdS/CFT understanding of CFT entanglement is based on HRT surfaces in the dual bulk spacetime. While such surfaces need not exist in sufficiently general spacetimes, the maximin construction demonstrates that they can be found in any smooth asymptotically locally AdS spacetime without horizons or with only Kasner-like singularities. In this work, we introduce restricted maximin surfaces anchored to a particular boundary Cauchy slice C ∂ . We show that the result agrees with the original unrestricted maximin prescription when the restricted maximin surface lies in a smooth region of spacetime. We then use this construction to extend the existence theorem for HRT surfaces to generic charged or spinning AdS black holes whose mass-inflation singularities are not Kasner-like. We also discuss related issues in time-independent charged wormholes.
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The existence proof for maximin surfaces was extended to generic black holes in AdS with singularities that are not Kasner-like.
“This existence proof was then extended to generic blackholes in Ad S with singularities that are not Kasner like [87].”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [87]
Cites
Wald, R. M. (1984) · doi:10.7208/chicago/9780226870373.001.0001 · Cited by 7,188 · see citing works
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302 · see citing works
The singularities of gravitational collapse and cosmology
Hawking, S. W., & Penrose, R. (1970) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1970.0021 · Cited by 2,100 · see citing works
Aspects of holographic entanglement entropy
Ryu, S., & Takayanagi, T. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/08/045 · Cited by 1,969 · see citing works
A covariant holographic entanglement entropy proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/07/062 · Cited by 1,822 · see citing works
A Covariant Holographic Entanglement Entropy Proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · arXiv · doi:10.48550/arxiv.0705.0016 · Cited by 1,822
Eternal black holes in anti-de Sitter
Maldacena, J. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/04/021 · Cited by 1,555 · see citing works
Generalized gravitational entropy
Lewkowycz, A., & Maldacena, J. (2013) · Journal of High Energy Physics · doi:10.1007/jhep08(2013)090 · Cited by 1,183 · see citing works
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
Wall, A. C. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/22/225007 · Cited by 545 · see citing works
Self-citationInner structure of a charged black hole: An exact mass-inflation solution
Ori, A. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.789 · Cited by 354 · see citing works
Inner-horizon instability and mass inflation in black holes
Poisson, E., & Israel, W. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.1663 · Cited by 334 · see citing works
Deriving covariant holographic entanglement
Dong, X., Lewkowycz, A., & Rangamani, M. (2016) · Journal of High Energy Physics · doi:10.1007/jhep11(2016)028 · Cited by 268 · see citing works
The interior of charged black holes and the problem of uniqueness in general relativity
Dafermos, M. (2005) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20071 · Cited by 262 · see citing works
Structure of the singularity inside a realistic rotating black hole
Ori, A. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.2117 · Cited by 173 · see citing works
Multiboundary wormholes and holographic entanglement
Balasubramanian, V., Hayden, P. M., Maloney, A., Marolf, D. M., & Ross, S. F. (2014) · Classical and Quantum Gravity · doi:10.1088/0264-9381/31/18/185015 · Cited by 153 · see citing works
Self-citationHolographic entanglement plateaux
Hubeny, V. E., Maxfield, H., Rangamani, M., & Erik Tonni, C. (2013) · Journal of High Energy Physics · doi:10.1007/jhep08(2013)092 · Cited by 138 · see citing works
Structure of the Black Hole's Cauchy-Horizon Singularity
Burko, L. M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.4958 · Cited by 119 · see citing works
From Euclidean sources to Lorentzian spacetimes in holographic conformal field theories
Marolf, D. M., Parrikar, O., Rabideau, C., Rad, A. I., & Mark Van Raamsdonk, B. (2018) · Journal of High Energy Physics · doi:10.1007/jhep06(2018)077 · Cited by 72 · see citing works
Self-citationHolographic entanglement entropy conjecture for general spacetimes
Sanches, F., & Weinberg, S. J. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.084034 · Cited by 56 · see citing works
Analytic study of the null singularity inside spherical charged black holes
Burko, L. M., & Ori, A. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.r7084 · Cited by 54 · see citing works
Microcanonical path integrals and the holography of small black hole interiors
Marolf, D. (2018) · Journal of High Energy Physics · doi:10.1007/jhep09(2018)114 · Cited by 53 · see citing works
Self-citationHot multiboundary wormholes from bipartite entanglement
Marolf, D., Maxfield, H., Peach, A., & Ross, S. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/21/215006 · Cited by 49 · see citing works
Self-citationA paucity of bulk entangling surfaces: AdS wormholes with de Sitter interiors
Fischetti, S., Marolf, D. M., & Wall, A. C. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/6/065011 · Cited by 36 · see citing works
Self-citationHolographic partition functions and phases for higher genus Riemann surfaces
Maxfield, H., Ross, S. F., & Way, B. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/12/125018 · Cited by 34 · see citing works
Internal structure of charged AdS black holes
Bhattacharjee, S., Sarkar, S., & Amitabh Virmani, C. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.93.124029 · Cited by 22 · see citing works
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Botta-Cantcheff, M., Martínez, P. J., & Silva, G. A. (2019) · Journal of High Energy Physics · doi:10.1007/jhep04(2019)028 · Cited by 22 · see citing works
Fu, Z., Marolf, D. M., & Mefford, E. (2016) · Journal of High Energy Physics · doi:10.1007/jhep12(2016)021 · Cited by 7 · see citing works
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Sorce, J. (2019) · Journal of High Energy Physics · doi:10.1007/jhep10(2019)015 · Cited by 10 · see citing works
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- Authors
- Marolf, D., Wall, A. C., & Wang, Z.
- Affiliations
- University of California, Santa Barbara (US)
- Stanford University (US)
- Corresponding author
- Wang, Zhencheng
- ORCID
- Wang, Zhencheng
- Venue
- Journal of High Energy Physics
- Published
- 2019-05
- Volume
- 2019
- Issue
- 5
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2909389065
- Cited by
- 15
- References
- 26
- Citations by year
- 2024: 3 · 2023: 1 · 2022: 2 · 2021: 4 · 2020: 3 · 2019: 2
- FWCI
- 1.43
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- Ryu-Takayanagi surface, entanglement entropy, AdS/CFT correspondence, black holes, mass inflation, charged black holes, rotating black holes, wormholes, holography
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