Conservation of charge and the Einstein--Maxwell field equations

Journal Article · Mon Nov 01 04:00:00 EST 1976 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.522837· OSTI ID:7336719

Horndeski, G W

In a space of four dimensions I determine all possible second-order vector--tensor field equations which are derivable from a variational principle, compatible with the notion of charge conservation and in agreement with Maxwell's equations in a flat space. The general solution to this problem contains the Einstein--Maxwell field equations (with cosmological term) as a special case. (AIP)

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada
• OSTI ID: 7336719
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 17:11; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GENERAL RELATIVITY THEORY
GRAVITATION
MAXWELL EQUATIONS
TENSORS