Synge's covariant conservation laws for general relativity

Journal Article · Mon Dec 01 04:00:00 EST 1975 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(75)90067-6· OSTI ID:7364958

Lathrop, J D

Following Synge, the covariant formulas for the total four-momentum and angular momentum of an isolated physical system in general relativity are derived. These formulas ar first obtained in the weak-field approximation, for which they are shown to be expressible in surface integral form, to be unique, and to represent covariantly conserved quantities. The covariant expressions for the general case are then shown to be identical to those for the weak-field case. The uniquely determined and covariantly conserved quantities so obtained are found to agree with the corresponding canonical, noncovariant surface integral expressions. (AIP)

• Research Organization: Physics Department, Williams College, Williamstown, Massachusetts 01267
• OSTI ID: 7364958
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 95:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
CANONICAL TRANSFORMATIONS
CONSERVATION LAWS
FIELD THEORIES
GENERAL RELATIVITY THEORY
LINEAR MOMENTUM
MATHEMATICAL MODELS
NUCLEAR MODELS
SPACE-TIME
WEAK-COUPLING MODEL