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Covariant Conservation Laws in General Relativity

Komar, Arthur·1959·Physical Review

DOI 10.1103/physrev.113.934

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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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Authors: Komar, A.
Affiliations: Syracuse University (US)
Corresponding author: Komar, Arthur
Venue: Physical Review
Publisher: American Physical Society (APS)
Published: 1959-02-01
Volume: 113
Issue: 3
Pages: 934-936
ISSN: 0031-899X (ISSN-L)
DOI: 10.1103/physrev.113.934
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
Licence: link.aps.org/licenses/aps-default-license (vor)
Locations: Physical Review (publishedVersion)
Topics: Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Physical Sciences › Mathematics › Geometry and Topology › 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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Covariant Conservation Laws in General Relativity

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