On Quantum Statistical Mechanics of a Schwarzschild Black Hole
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(2+1)-dimensional gravity has only finitely many physical degrees of freedom and is exactly soluble.
“Here a simplification occurs because (2 + 1)-dimensional gravity has only finitely many physical degrees of freedom and is exactly soluble [18].”
From Symmetry reduction for quantized diffeomorphism-invariant theories of connections (2000) · cites this paper as [18]
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106 · cited 1× · see citing works
“The fundamental equation (1) is derived from Hawking’s semiclassical expression [4] for the temperature of black hole radiation.”
BackgroundDiscreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365 · cited 7× · see citing works
“Note also, that because of gauge invariance not all sets of spins are allowed [6].”
BackgroundMethodInfluentialQuantum geometry and black hole entropy
Ashtekar, A., Baez, J., Corichi, A., & Krasnov, K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.904 · Cited by 1,105 · cited 2× · see citing works
“Work is in progress in this direction also [ 1 ].”
BackgroundResultSelf-citationLectures on 2D gravity and 2D string theory (TASI 1992)Preprint
Ginsparg, P., & Moore, G. M. (1993) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9304011 · Cited by 191 · see citing works
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Research works printed but not linked: 2
- [14][14] G. Segal, Conformal field theory, Oxford preprint. -
- [17][17] G. Immirzi, Quantum Gravity and Regge Calculus, available as preprint gr-qc/9701052; C. Rovelli, T. Thiemann, The Immirzi parameter in Quantum General Relativity, preprint available as gr-qc/9705059. - · arXiv
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Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951 · see citing works
Symmetry reduction for quantized diffeomorphism-invariant theories of connections
Bojowald, M., & Kastrup, H. A. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/15/311 · Cited by 168 · see citing works
Eleven-dimensional supergravity as a constrained topological field theory
Ling, Y., & Smolin, L. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00063-3 · Cited by 29 · see citing works
- Authors
- Krasnov, K. V.
- Affiliations
- Pennsylvania State University (US)
- Corresponding author
- Krasnov, Kirill V.
- ORCID
- Krasnov, Kirill V.
- Venue
- General Relativity and Gravitation
- Published
- 1998-01
- Volume
- 30
- Issue
- 1
- Pages
- 53-68
- ISSN
- 0001-7701 (ISSN-L)
- 1572-9532
- OpenAlex
- W1606720119
- Cited by
- 106
- References
- 4
- Citations by year
- 2026: 5 · 2025: 3 · 2024: 2 · 2023: 2 · 2022: 1 · 2018: 2 · 2017: 4 · 2016: 2 · 2015: 3 · 2014: 2 · 2013: 2 · 2012: 5
- FWCI
- 6.12
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- General Relativity and Gravitation (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- 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 › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- Schwarzschild black hole, black hole thermodynamics, quantum statistical mechanics, quasilocal energy, black hole entropy, horizon area, non-perturbative quantum gravity, Gibbs ensemble
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