Cited by 930Relativity and Gravitational TheoryAdvanced Differential Geometry ResearchCosmology and Gravitation Theories

Covariant Conservation Laws in General Relativity

Komar, Arthur·1959·Physical Review

Abstract

A set of covariant conservation laws is constructed in the general theory of relativity. Their relationship to the generators of infinitesimal coordinate transformations is indicated. In a given coordinate system certain of these quantities may be naturally identified as energy and momentum. We can continue to recognize these conserved quantities in all coordinate systems due to the covariant character of the expressions.

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Crossref · 10.1103/physrev.113.934

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4 of 4 references verified0 citation errors · 0 not checkable

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Authors
Komar, A.
Affiliations
Syracuse University (US)
Corresponding author
Komar, Arthur
Venue
Physical Review
Published
1959-02-01
Volume
113
Issue
3
Pages
934-936
ISSN
0031-899X (ISSN-L)
OpenAlex
W2227492315
Cited by
930
References
4
Citations by year
2026: 22 · 2025: 37 · 2024: 30 · 2023: 42 · 2022: 34 · 2021: 22 · 2020: 58 · 2019: 30 · 2018: 30 · 2017: 24 · 2016: 59 · 2015: 23 · 2014: 32 · 2013: 44 · 2012: 19
FWCI
4.69
Type
journal article
Language
en
Open access
closed
Locations
Physical Review (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
Keywords
covariant conservation laws, general relativity, energy-momentum conservation, coordinate transformation, first integrals, coordinate invariance

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