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

Role of Conformal Three-Geometry in the Dynamics of Gravitation

York, James W.·1972·Physical Review Letters
DOI 10.1103/physrevlett.28.1082
Open this paper in CoChat — free account

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.

Integrity signals

Registry

Crossref · 10.1103/physrevlett.28.1082

Cites

13 of 13 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

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?

  • For manifolds with boundary, the GHY boundary term and a holographic counterterm are needed to make sense of the model at an asymptotically AdS boundary.

    “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

Cites

Flagged first, then by citations

Cited by

Sorted by citations

Related

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 › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
spacelike hypersurfaces, canonical variables, initial value problems, Hamilton's principle, conformal invariance, time variable, general relativity

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