Differentiation of retarded integrals and the divergence theorem for retarded functions with discontinuities

Journal Article · Sat Feb 01 00:00:00 EST 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527243· OSTI ID:6156349

Cooperstock, F I; Lim, P H

Theorems expressing the time derivatives of retarded volume and surface integrals are presented as well as the Gauss divergence theorem for retarded functions with discontinuities. These theorems greatly facilitate the analysis of gravitational radiation from the motion of disjoint matter distributions in general relativity and could find useful application in other branches of physics.

• Research Organization: Department of Physics, University of Victoria, Victoria, British Columbia, Canada V8W 2Y2
• OSTI ID: 6156349
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 27:2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GENERAL RELATIVITY THEORY
GRAVITATIONAL RADIATION
INTEGRALS
ANALYTICAL SOLUTION
EQUATIONS OF MOTION
GRAVITATIONAL WAVES
TIME DEPENDENCE
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation