Huygens's principle for the wave equation for second-rank tensor fields

• Published in: The Astrophysical journal Vol. 343; no. 2; pp. 849 - 852
• Main Author: Noonan, Thomas W.
• Format: Journal Article
• Language: English
• Published: Chicago, IL University of Chicago Press 01.08.1989
• Subjects: 640100 - Astrophysics & Cosmology; Astronomy; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COORDINATES; DIFFERENTIAL EQUATIONS; Earth, ocean, space; ELECTROMAGNETIC FIELDS; EQUATIONS; Exact sciences and technology; FIELD THEORIES; FUNCTIONS; Fundamental aspects of astrophysics; Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations; GENERAL RELATIVITY THEORY; GRAVITATIONAL FIELDS; GREEN FUNCTION; HUYGENS PRINCIPLE; PARTIAL DIFFERENTIAL EQUATIONS; Relativity and gravitation; RELATIVITY THEORY; SPACE-TIME; TENSORS; WAVE EQUATIONS; Wave equation; Gravitation; General relativity; Theoretical study; Space time; Huygens principle; Magnetic field; Green function; Ricci tensor; Geodetic coordinate

The differential equations for the Green's function for the wave equation of a second-rank tensor field are expanded in Robertson's geodesic coordinates about the vertex of the backward null cone as in a previous paper for the vector wave equation. It is concluded that Huygens' princi...