Spin-3/2 perturbations of algebraically special solutions of the Einstein--Maxwell equations

Journal Article · Fri Sep 01 00:00:00 EDT 1989 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528212· OSTI ID:5887420

Torres del Castillo, G F

The equations for the spin- (3)/(2) perturbations of the solutions of the Einstein--Maxwell equations given by the linearized O(2) extended supergravity are considered. It is shown that for each geodetic and shear-free principal null direction of the background electromagnetic field there exists a gauge-invariant quantity made out of the spin- (3)/(2) field that satisfies a decoupled equation. In the case of type-D solutions with a nonsingular aligned electromagnetic field it is explicitly shown that the decoupled equations associated with the two principal null directions admit separable solutions and the separated functions obey certain differential relations.

• Research Organization: Departamento de Fisica Matematica, Instituto de Ciencias de la Universidad Autonoma de Puebla, 72000 Puebla, Mexico and Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional, Apartado Postal 14-740, 07000 Mexico, D. F., Mexico (MX)
• OSTI ID: 5887420
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 30:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTURBANCES
EINSTEIN-MAXWELL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
SUPERGRAVITY
UNIFIED-FIELD THEORIES