The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Role of Conformal Three-Geometry in the Dynamics of Gravitation
Abstract
The unconstrained dynamical degrees of freedom of the gravitational field are identified with the conformally invariant three-geometries of spacelike hypersurfaces. New results concerning the action principle, choice of canonical variables, and initial-value equations strengthen this identification. One of the new canonical variables is shown to play the role of "time" in the formalism.
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“For manifolds that have a boundary , we wrote explicitly the Gibbons–Hawking–York (GHY) boundary term (Gibbons and Hawking 1977; York 1972), and a holographic counterterm (the “”) which is needed a posteriori to make sense of the model at an asymptotically AdS boundary as will become clear later on.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as York 1972
Citations
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
Gravitation, an introduction to current research
Sewell, G. L. (1963) · Journal of the Franklin Institute · doi:10.1016/0016-0032(63)90691-4 · Cited by 2,050
Misner, C. W. (1969) · Physical Review Letters · doi:10.1103/physrevlett.22.1071 · Cited by 856
Misner, C. W. (1969) · Physical Review · doi:10.1103/physrev.186.1319 · Cited by 529
Gravitational Degrees of Freedom and the Initial-Value Problem
York, J. W. (1971) · Physical Review Letters · doi:10.1103/physrevlett.26.1656 · Cited by 492
Self-citationFixation of Coordinates in the Hamiltonian Theory of Gravitation
Dirac, P. A. M. (1959) · Physical Review · doi:10.1103/physrev.114.924 · Cited by 487
On the positive definite mass of the Bondi-Weber-Wheeler time-symmetric gravitational waves
Brill, D. R. (1959) · Annals of Physics · doi:10.1016/0003-4916(59)90055-7 · Cited by 237
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 235
A Bubble-Time Canonical Formalism for Geometrodynamics
Kuchař, K. V. (1972) · Journal of Mathematical Physics · doi:10.1063/1.1666050 · Cited by 133
Variational methods and positive energy in general relativity
Brill, D. R., & Deser, S. (1968) · Annals of Physics · doi:10.1016/0003-4916(68)90131-0 · Cited by 99
Research works printed but not linked: 3
- A. Lichnerowicz, 1944, Z. Angew. Math. Phys., 23, 37
- R. Arnowitt, Gravitation: An Introduction to Current Research
- Y. Choquet-Bruhat, Global Solutions of the Equations of Constraint in General Relativity, on Open and Closed Manifolds
Cited by
Sorted by citations
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
“In writing this action, we must remember to include a surface term [50,51] in the Einstein action.”
MethodSotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Hartle, J. B., & Hawking, S. W. (1983) · Physical Review D · doi:10.1103/physrevd.28.2960 · Cited by 3,027
Quantum gravity at a Lifshitz point
Hořava, P. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.084008 · Cited by 2,680
Metadata
- Authors
- York, J. W.
- Affiliations
- Princeton University (US)
- Corresponding author
- York, James W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1972-04-17
- Volume
- 28
- Issue
- 16
- Pages
- 1082-1085
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2086731073
- Cited by
- 1,392
- References
- 13
- Citations by year
- 2026: 47 · 2025: 54 · 2024: 55 · 2023: 86 · 2022: 62 · 2021: 74 · 2020: 68 · 2019: 88 · 2018: 66 · 2017: 55 · 2016: 57 · 2015: 48 · 2014: 48 · 2013: 61 · 2012: 38
- FWCI
- 6.97
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- spacelike hypersurfaces, canonical variables, initial value problems, Hamilton's principle, conformal invariance, time variable, general relativity
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