Midi-superspace quantization of non-compact toroidally symmetric gravity
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We consider the quantization of the midi-superspace associated with a class of spacetimes with toroidal isometrics, but without the compact spatial hypersurfaces of the well-known Gowdy models.By a symmetry reduction, the phase space for the system at the classical level can be identified with that of a free massless scalar field on a fixed background spacetime, thereby providing a simple route to quantization.We are then able to study certain non-perturbative features of the quantum gravitational system.In particular, we examine the quantum geometry of the asymptotic regions of the spacetimes involved and find some surprisingly large dispersive effects of quantum gravity.
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Work on circularly symmetric midi-superspace models has led to unexpected bounds on the Hamiltonian.
“Certain matter couplings in supergravity have been studied [104, 196], and work on circularly symmetric “midi-superspace models” has led to some surprising results, including unexpected bounds on the Hamiltonian [27, 32, 137, 53, 265, 224].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [53]
Section 2.1 describes a toroidally symmetric midi-superspace model, not a circularly symmetric one. Section 2.2 says its Hamiltonian vanishes on the constraint surface, while Section 2.3 identifies the reduced Hamiltonian with that of a scalar field; neither passage reports unexpected bounds on the Hamiltonian. Searches for bounded or upper-bounded Hamiltonians found no supporting passage in our copy. (LLM, conf=0.76)
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Cites
Time in quantum gravity: An hypothesis
Rovelli, C. (1991) · Physical Review D · doi:10.1103/physrevd.43.442 · Cited by 445 · see citing works
Gowdy, R. H. (1974) · Annals of Physics · doi:10.1016/0003-4916(74)90384-4 · Cited by 330 · see citing works
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Research works printed but not linked: 6
- D. Krammer, H. Stephani, E. Herlt and M. MacCallum, "Exact So- lutions of Einstein's Field Equations". Cambridge University Press, Cambridge, 1980.
- A. Ashtekar and M. Pierri, "Probing Quantum Gravity Through Ex- actly Soluble Midi-Superspaces II", Penn State preprint CGPG-96/5- 4, in preparation.
- R. M. Wald, "Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics", University of Chicago Press, Chicago, 1994.
- A. Ashtekar and A. Sen, "Quantum Fields in Curved Space-Times: Selection and Uniqueness of the Vacuum State", Enrico Fermi Insti- tute Preprint, June 1978.
- A. Ashtekar, "Large Quantum Gravity Effects: Unexpected Limita- tions'of the Classical Theory", Penn State preprint CGPG-96/10-1.
- R. Gambini and J. Pullin, "Large Quantum Gravity Effects: Backre- action on Matter", Penn State preprint CGPG-97/4-1.
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Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
Linear response, validity of semiclassical gravity, and the stability of flat space
Anderson, P. R., Molina-París, C., & Mottola, E. (2003) · Physical Review D · doi:10.1103/physrevd.67.024026 · Cited by 73 · see citing works
- Authors
- Beetle, C.
- Affiliations
- Pennsylvania State University (US)
- Corresponding author
- Beetle, Christopher
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 1998
- Volume
- 2
- Issue
- 3
- Pages
- 471-495
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2962763748
- Cited by
- 39
- References
- 2
- Citations by year
- 2026: 1 · 2022: 1 · 2020: 21 · 2015: 1 · 2012: 1
- FWCI
- 0.80
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advances in Theoretical and Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9514240)
- Pennsylvania State 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
- toroidal symmetry, symmetry reduction, quantum gravity, non-perturbative effects, quantum geometry, asymptotic region, dispersion effects, phase space quantization
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