Solutions to the Wheeler DeWitt constraint of canonical gravity coupled to scalar matter fields
Open accessAbstract
It is shown that the Wheeler DeWitt constraint of canonical gravity coupled to Klein Gordon scalar fields and expressed in terms of Ashtekar's variables admits formal solutions which are parametrized by loops in the three-dimensional hypersurface and which are extensions of the well known Wilson loop solutions found by Jacobson, Rovelli and Smolin (1988,1990).
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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
Quantum Theory of Gravity. II. The Manifestly Covariant Theory
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New Variables for Classical and Quantum Gravity
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Aspects of canonical gravity and supergravity
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Morales-Técotl, H. A., & Rovelli, C. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3642 · Cited by 63 · see citing works
Canonical quantum supergravity in three dimensions
Matschull, H.-J., & Nicolai, H. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90464-2 · Cited by 28 · see citing works
Self-citationOn loop states in quantum gravity and supergravity
Matschull, H.-J. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/10/002 · Cited by 24 · see citing works
Self-citationCANONICAL TREATMENT OF COSET SPACE SIGMA MODELS
Matschull, H.-J., & Nicolai, H. (1994) · International Journal of Modern Physics D · doi:10.1142/s0218271894000095 · Cited by 9 · see citing works
Self-citationGravitational collapse via Wheeler–DeWitt equation
Batic, D., & Nowakowski, M. (2023) · Annals of Physics · doi:10.1016/j.aop.2023.169579 · Cited by 5 · see citing works
- Authors
- Matschull, H. J.
- Affiliations
- Universität Hamburg (DE)
- Corresponding author
- Matschull, H -J
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1993-09-01
- Volume
- 10
- Issue
- 9
- Pages
- L149-L153
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1968795935
- Cited by
- 5
- References
- 10
- Citations by year
- 2023: 1
- FWCI
- 1.13
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- 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
- Wheeler-DeWitt equation, canonical gravity, Klein-Gordon scalar field, Ashtekar variables, loop quantum gravity, quantum cosmology
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