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Covariant Conservation Laws in General Relativity

1959/02/01 by Arthur Komar · 4 citations
Physics and Astronomy · Mathematics · #Relativity and Gravitational Theory #Cosmology and Gravitation Theories #Algebraic and Geometric Analysis

paper · doi:10.1103/physrev.113.934

openalex publication_date 1959/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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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