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Cited by 57Relativity and Gravitational TheoryNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories

Harmonic gauge in canonical gravity

Kuchař, K. V., Torre, C. G.·1991·Physical Review D
DOI 10.1103/physrevd.44.3116
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Abstract

The Isham-Kucha\ifmmode \check{r}\else \v{r}\fi{} representation theory of the spacetime diffeomorphism group in canonical geometrodynamics is implemented in the context of harmonic coordinate conditions. The representation is carried by either an extended phase space, consisting of the cotangent bundle over the space of three-metrics, spacelike embeddings, and Lagrange multipliers which serve to enforce the harmonic gauge in the action, or by a reduced space in which the multipliers are eliminated. The approach used here is applicable to any generally covariant theory and to any coordinate conditions. The physical interpretation of the diffeomorphism Hamiltonians is discussed and compared with the analogous interpretation given by us elsewhere in terms of Gaussian coordinate conditions.

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Crossref · 10.1103/physrevd.44.3116

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Authors
Kuchař, K. V., & Torre, C. G.
Affiliations
University of Utah (US)
ORCID
Torre, C. G.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1991-11-15
Volume
44
Issue
10
Pages
3116-3123
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.44.3116
OpenAlex
W1999820722
Cited by
57
References
7
Citations by year
2026: 1 · 2025: 2 · 2024: 2 · 2023: 1 · 2022: 1 · 2019: 3 · 2018: 2 · 2017: 2 · 2015: 1 · 2014: 1 · 2013: 1
FWCI
8.56
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • PubMed (publishedVersion)
  • Digital Commons - USU (Utah State University) (submittedVersion)
Funders
  • Syracuse University
  • University of Utah
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
Keywords
harmonic gauge, canonical gravity, diffeomorphism groups, extended phase space, cotangent bundle, Lagrange multipliers, reduced phase space, coordinate conditions

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