The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
A pure spin-connection formulation of gravity
Open accessAbstract
A new action principle, in which the only gravitational variables are an SL(2,C) connection and a scalar density, is derived for general relativity (GR) coupled to matter and for supergravity. In this form, GR appears as a non-metric, generally covariant gauge theory, the metric being reconstructed from the other fields in a solution. A similar non-metric action with a real SO(3,1) connection is also derived, however it involves an independent fourth rank tensor field representing the curvature.
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“In particular, flat geometries are not contained in this sector.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [110]
In the citing paper
“In the Capovilla-Dell-Jacobson [110, 109] formulation of general relativity this ‘integration’ is partially performed at the continuum level.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [110]
In the citing paper
“One serious problem of this formulation is that it corresponds to a sector of gravity where the Weyl tensor satisfies certain algebraic requirements.”
From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [110]
In the citing paper
“In the generic case, when the E ab (a < b) are linearly independent, it can be shown [20,22] that conditions (5) and (6) admit exactly three sorts of solutions in addition to those of the form”
From Spin foam models (1998) · cites this paper as [22]
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Citations
Cites
On the separation of Einsteinian substructures
Plebański, J. F. (1977) · Journal of Mathematical Physics · doi:10.1063/1.523215 · Cited by 499
Capovilla, R., Dell, J., Jacobson, T., & Mason, L. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/1/009 · Cited by 286
Self-citationGeneral relativity without the metric
Capovilla, R., Jacobson, T., & Dell, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.2325 · Cited by 196
Self-citationCosmological Constant and Fundamental Length
Anderson, J. L., & Finkelstein, D. (1971) · American Journal of Physics · doi:10.1119/1.1986321 · Cited by 189
On integrability properties of SU (2) Yang–Mills fields. I. Infinitesimal part
Urbantke, H. K. (1984) · Journal of Mathematical Physics · doi:10.1063/1.526402 · Cited by 96
Legendre transforms in Ashtekar's theory of gravity
Peldán, P. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/10/005 · Cited by 33
Generally covariant gauge theories
Capovilla, R. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90456-l · Cited by 33
Self-citationSelf-dual formulations of D=3 gravity theories
Deser, S., & McCarthy, J. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90627-i · Cited by 33
Ashtekar's variables, the θ-term, and the cosmological constant
Bengtsson, I., & Peldán, P. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90066-f · Cited by 24
Gravity coupled to matter without the metric
Peldán, P. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90015-x · Cited by 21
Research works printed but not linked: 1
- Kozameh C, 1991, Ann. Phys., NY
Cited by
Sorted by citations
The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677
Spin foam models for quantum gravity
Perez, A. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/6/202 · Cited by 532
A new spin foam model for 4D gravity
Freidel, L., & Krasnov, K. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/12/125018 · Cited by 521
Baez, J. C. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/7/004 · Cited by 381
Capovilla, R., Dell, J., Jacobson, T., & Mason, L. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/1/009 · Cited by 286
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Metadata
- Authors
- Capovilla, R., Dell, J., & Jacobson, T.
- Affiliations
- University of Maryland, College Park (US)
- ORCID
- Capovilla, R
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1991-01-01
- Volume
- 8
- Issue
- 1
- Pages
- 59-73
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1972877551
- Cited by
- 162
- References
- 10
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 2 · 2023: 3 · 2021: 4 · 2020: 2 · 2019: 3 · 2018: 1 · 2017: 3 · 2016: 5 · 2015: 10 · 2014: 3 · 2013: 5 · 2012: 3
- FWCI
- 21.45
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- general relativity, supergravity, Hamilton's principle, scalar density, metric reconstruction, matter coupling
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