Gravitational constrained instantons
Open accessAbstract
The authors find constrained instantons -- configurations that extremize the action subject to a constraint -- in Einstein gravity with and without a cosmological constant. Such instantons are expected to contribute to non-perturbative processes in quantum gravity. With negative cosmological constant, these configurations describe wormholes connecting two asymptotic regions.
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With the constraint of fixed b, wormhole saddle solutions have been found explicitly in higher dimensions.
“With this constraint, wormhole saddle solutions have been found explicitly in higher dimensions (Cotler and Jensen 2021, 2022).”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Cotler and Jensen 2021
Cites
Replica wormholes and the entropy of Hawking radiation
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E., & Tajdini, A. (2020) · Journal of High Energy Physics · doi:10.1007/jhep05(2020)013 · Cited by 910 · see citing works
Replica wormholes and the black hole interior
Penington, G., Shenker, S. H., Stanford, D., & Yang, Z. (2019) · arXiv · doi:10.48550/arxiv.1911.11977 · Cited by 809
Black holes and random matrices
Cotler, J. S., Gur-Ari, G., Hanada, M., Polchinski, J., Saad, P., Shenker, S. H., Stanford, D., Streicher, A., & Tezuka, M. (2017) · Journal of High Energy Physics · doi:10.1007/jhep05(2017)118 · Cited by 562 · see citing works
Self-citationAveraging over Narain moduli space
Maloney, A., & Witten, E. (2020) · Journal of High Energy Physics · doi:10.1007/jhep10(2020)187 · Cited by 197 · see citing works
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Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity
Mertens, T. G., & Turiaci, G. J. (2023) · Living Reviews in Relativity · doi:10.1007/s41114-023-00046-1 · Cited by 181 · see citing works
- Authors
- Cotler, J., & Jensen, K.
- Affiliations
- Harvard University (US)
- University of Victoria (CA)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2021-10-05
- Volume
- 104
- Issue
- 8
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W3092483689
- Cited by
- 61
- References
- 4
- Citations by year
- 2026: 4 · 2025: 4 · 2024: 10 · 2023: 13 · 2022: 16 · 2021: 14
- FWCI
- 3.48
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physical review. D/Physical review. D. (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Society of Fellows, Harvard University
- U.S. Department of Energy (DE-SC 0013682)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- constrained instantons, general relativity, cosmological constant, wormholes, non-perturbative effects, quantum gravity, negative cosmological constant
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