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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
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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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