Cited by 1,392Relativity and Gravitational TheoryCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories

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Role of Conformal Three-Geometry in the Dynamics of Gravitation

York, James W.·1972·Physical Review Letters

DOI 10.1103/physrevlett.28.1082

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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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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)
DOI: 10.1103/physrevlett.28.1082
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
Licence: link.aps.org/licenses/aps-default-license (vor)
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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Role of Conformal Three-Geometry in the Dynamics of Gravitation

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