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Covariant Conservation Laws in General Relativity
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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Metadata
- 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)
- 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 › 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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