PROBING QUANTUM GENERAL RELATIVITY THROUGH EXACTLY SOLUBLE MIDI-SUPERSPACES II: POLARIZED GOWDY MODELS
Open accessAbstract
Canonical quantization of the polarized Gowdy midi-superspace with a 3-torus spatial topology is carried out. As in an earlier work on the Einstein–Rosen cylindrical waves, symmetry reduction is used to cast the original problem in four-dimensional spacetimes to a three-dimensional setting. To our knowledge, this is the first complete, systematic treatment of the Gowdy model in the geometrodynamical setting.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
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 [224]
Section 2.1 (p. 3) identifies the polarized Gowdy model as an axisymmetric midi-superspace with U(1) symmetry. But the Hamiltonian discussion in Section 3.2 (p. 12) describes its operator and physical states without reporting an unexpected bound; Section 4 instead emphasizes that this model’s Hamiltonian arises through deparametrization. The claimed bound is therefore not supported by this paper. (LLM, conf=0.82)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Quantum effects in the Gowdy T3 cosmology
Berger, B. K. (1984) · Annals of Physics · doi:10.1016/0003-4916(84)90214-8 · Cited by 47 · see citing works
Flagged first, then by citations
Research works printed but not linked: 11
- [1][1] C. W. Misner, In Magic Without Magic: John Archibald Wheeler, edited by J. Klauder (Freeman, San Francisco, 1972); M. Ryan, Hamiltonian Cosmology, (Springer- Verlag, Berlin, 1972); A. Ashtekar, R. S. Tate and C. Uggla, Int. J. Theor. Physics, D2, 15 (1993).
- [2][2] R. H. Gowdy, Phys. Rev. Lett. 27, 826 (1971); Ann. Phys. 83, 203 (1974).
- [3][3] A. Ashtekar and V. Husain, Int. J. Mod. Phys. D 7, 549 (1998).
- [4][4] G. A. Mena Marugán, Phys. Rev D 56, 908 (1997).
- [5][5] A. Ashtekar and M. Pierri, J. Math. Phys. 37, 6250 (1996).
- [6][6] K. Kuchař, Phys. Rev. D 4, 955 (1971).
- [7][7] M. Allen, Class. Quantum Grav. 4, 149 (1987).
- [9][9] B. K. Berger, Ann. Phys. 83, 458 (1974).
- [10][10] P. T. Chruściel, Ann. Phys. 202, 100 (1990). 19
- [11][11] A. Ashtekar and A. Magnon, Proc. R. Soc. Lond. A 346, 375 (1975).
- [12][12] M. Varadarajan, Class. Quantum Grav. 17, 189 (2000). 20
Cited by
Sorted by citations
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
- Authors
- PIERRI, M.
- Affiliations
- Gannon University (US)
- Corresponding author
- PIERRI, M.
- Venue
- International Journal of Modern Physics D
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2002-01
- Volume
- 11
- Issue
- 01
- Pages
- 135-153
- ISSN
- 0218-2718 (ISSN-L)
- 1793-6594
- OpenAlex
- W2047732055
- Cited by
- 41
- References
- 1
- Citations by year
- 2021: 2 · 2020: 1 · 2017: 1 · 2016: 1 · 2015: 1 · 2013: 1
- FWCI
- 1.45
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- International Journal of Modern Physics D (publishedVersion)
- arXiv (Cornell University) (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 › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- quantum general relativity, canonical quantization, symmetry reduction, geometrodynamics, exact solutions
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
