Covariant Conservation Laws in General Relativity

Arthur Komar
Phys. Rev. 113, 934 – Published 1 February 1959
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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.

  • Received 15 October 1958

DOI:https://doi.org/10.1103/PhysRev.113.934

©1959 American Physical Society

Authors & Affiliations

Arthur Komar

  • Physics Department, Syracuse University, Syracuse, New York

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Issue

Vol. 113, Iss. 3 — February 1959

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