Debye potentials in Riemannian spaces

Journal Article · Tue Jan 01 04:00:00 EST 1974 · J. Math. Phys. (N.Y.), v. 15, no. 1, pp. 14-16

DOI:https://doi.org/10.1063/1.1666493· OSTI ID:4313899

Stephani, H

By means of Debye potentials it is possible to get all solutions of source-free Maxwell equations in vacuum from a single sealar equation. Sufficient conditions for the existence of Debye potentials in a given four- dimensional Riemannian space have been found. Some examples of metrics are given, including plane gravitational waves, metrics with spherical symmetry, and cosmological models. The method is generalized to Maxwell fields with sources and Maxwell fields in dielectric media. (auth)

• Research Organization: Fachbereich Theoretische Physik, Friedrich-Schiller- Universitaet, Jena, Germany
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-023397
• OSTI ID: 4313899
• Journal Information: J. Math. Phys. (N.Y.), v. 15, no. 1, pp. 14-16, Journal Name: J. Math. Phys. (N.Y.), v. 15, no. 1, pp. 14-16; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

*COSMOLOGICAL MODELS-- METRICS
*GENERAL RELATIVITY THEORY-- METRICS
*MAXWELL EQUATIONS-- ANALYTICAL SOLUTION
*RIEMANN SPACE-- METRICS
ELECTRODYNAMICS
GRAVITATIONAL WAVES
N76300* --Physics (Theoretical)--Gravitation & General Relativity