Combined Dirac--Einstein--Maxwell field equations

Journal Article · Sat Oct 01 04:00:00 EDT 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523177· OSTI ID:7318794

Hamilton, M J; Das, A

This paper discusses the combined Dirac--Einstein--Maxwell equations in general relativity. The combined equations are derived from a variational principle which involves the variation of tetrad fields. A class of exact, self-consistent solutions is found where the metric is static, the electromagnetic field is just electrostatic, and the spinor field is stationary in the wave mechanical sense. These solutions are analogous to Dirac's plane wave solutions which propagate along the x/sup 3/ axis and are not square integrable. It is shown that under reasonable physical conditions there do not exist solutions with finite total charge. It seems that the static electro-gravitational background is not compatible with localizable matter fields possessing intrinsic spin.

• Research Organization: Department of Mathematics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
• OSTI ID: 7318794
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:10; 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
DIRAC EQUATION
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
QUANTUM FIELD THEORY
SPINORS
WAVE EQUATIONS