Midisuperspace Models of Canonical Quantum Gravity
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Degeneracy is crucial in the canonical partition function calculation of black hole entropy.
“The degeneracy plays a crucial role in the calculation [27,28] of black hole entropy using a canonical partition function approach.”
From Symmetry reduction for quantized diffeomorphism-invariant theories of connections (2000) · cites this paper as [27]
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Cites
Quantum Theory of Gravity. I. The Canonical Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.160.1113 · Cited by 3,385 · see citing works
Haag, R. (1996) · doi:10.1007/978-3-642-61458-3 · Cited by 2,443 · see citing works
The principle of symmetric criticality
Palais, R. S. (1979) · Communications in Mathematical Physics · doi:10.1007/bf01941322 · Cited by 1,093 · see citing works
Lectures on Non-Perturbative Canonical Gravity
Ashtekar, A. (1991) · Advanced Series in Astrophysics and Cosmology · doi:10.1142/1321 · Cited by 872 · see citing works
Misner, C. W. (1969) · Physical Review Letters · doi:10.1103/physrevlett.22.1071 · Cited by 856 · see citing works
Unitary representations of some infinite dimensional groups
Segal, G. B. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208274 · Cited by 781 · see citing works
Linear symmetries of free boson fields
Shale, D. (1962) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1962-0137504-6 · Cited by 426 · see citing works
Geometrodynamics of Schwarzschild black holes
Kuchař, K. V. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.50.3961 · Cited by 396 · see citing works
Gowdy, R. H. (1974) · Annals of Physics · doi:10.1016/0003-4916(74)90384-4 · Cited by 330 · see citing works
Canonical Quantization of Cylindrical Gravitational Waves
Kuchař, K. V. (1971) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.4.955 · Cited by 244 · see citing works
Representations of spacetime diffeomorphisms. I. Canonical parametrized field theories
Isham, C. J., & Kuchař, K. V. (1985) · Annals of Physics · doi:10.1016/0003-4916(85)90018-1 · Cited by 180 · see citing works
Probing quantum gravity through exactly soluble midi-superspaces I
Ashtekar, A., & Pierri, M. (1996) · Journal of Mathematical Physics · doi:10.1063/1.531774 · Cited by 106 · see citing works
Large Quantum Gravity Effects: Unforeseen Limitations of the Classical Theory
Ashtekar, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.4864 · Cited by 89 · see citing works
Exactly solvable quantum cosmologies from two killing field reductions of general relativity
Husain, V., & Smolin, L. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90292-7 · Cited by 69 · see citing works
Kuchař, K. V. (1989) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.39.2263 · Cited by 59 · see citing works
Is general relativity an "already parametrized" theory?
Torre, C. G. (1992) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.46.r3231 · Cited by 56 · see citing works
Self-citationCanonical Quantization of Cylindrical Gravitational Waves with Two Polarizations
Korotkin, D. A., & Samtleben, H. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.14 · Cited by 51 · see citing works
Internal time formalism for spacetimes with two Killing vectors
Romano, J. D., & Torre, C. G. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.5634 · Cited by 38 · see citing works
Self-citationWorld sheet diffeomorphisms and the canonical string
Kuchař, K. V., & Torre, C. G. (1989) · Journal of Mathematical Physics · doi:10.1063/1.528265 · Cited by 28 · see citing works
Self-citationMany-time hamiltonian gravitation theory
Teitelboim, C. (1975) · Physics Letters B · doi:10.1016/0370-2693(75)90323-8 · Cited by 9 · see citing works
Energy and directional signatures for plane quantized gravity waves
Neville, D. E. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.986 · Cited by 7 · see citing works
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Research works printed but not linked: 7
- [8][8] M. MacCallum, in General Relativity, an Einstein Centenary Survey , Chapter 11, S. Hawking and W. Israel, Eds. (Cambridge University Press, Cambridge, 1979). -
- [9][9] J. Pons and L. Shepley, preprint gr-qc/9805030, to appear in Physical Review D , (1998). - · arXiv
- [15][15] C. Teitelboim, in General Relativity and Gravitation , Vol. 1, A. Held, Ed. (Plenum, New York, 1980). -
- [26][26] C. Torre and M. Varadarajan, preprint hep-th/9707221, to appear in Physical Review D (1998). - · arXiv
- [27][27] R. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics , (University of Chicago Press, 1994). -
- [29][29] D. Shale, Trans. Am. Math. Soc. 103 , 149 (1962). -
- [35][35] C. Lanczos, The Variational Principles of Mechanics , (University of Toronto Press, Toronto 1970).
Cited by
Sorted by citations
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
Loop quantum cosmology: I. Kinematics
Bojowald, M. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/6/312 · Cited by 125 · see citing works
- Authors
- Torre, C. G.
- Corresponding author
- Torre, C. G.
- Venue
- International Journal of Theoretical Physics
- Published
- 1999-04
- Volume
- 38
- Issue
- 4
- Pages
- 1081-1102
- ISSN
- 0020-7748 (ISSN-L)
- 1572-9575
- OpenAlex
- W2950417151
- Cited by
- 42
- References
- 21
- Citations by year
- 2025: 17 · 2023: 1 · 2022: 1 · 2021: 2 · 2020: 1 · 2019: 1 · 2017: 1 · 2016: 1 · 2014: 1 · 2013: 1
- FWCI
- 1.35
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- International Journal of Theoretical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Digital Commons - USU (Utah State University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9600616)
- Topics
- 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
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- canonical quantum gravity, symmetry reduction, Hamiltonian formulation, cylindrical symmetry, toroidal symmetry, wave maps, foliations, quantum gravity
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