Einstein--Maxwell equations and the conformal Ricci collineations

Journal Article · Mon Jun 01 04:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527540· OSTI ID:6626754

Faridi, A M

The Einstein--Maxwell field equations for non-null electromagnetic fields are studied under the assumption of admitting a conformal Ricci collineation. It is shown that a non-null electromagnetic field does not admit any conformal Ricci collineation, unless the generators of the symmetry groups are Killing vector fields. Furthermore, it is shown that the energy-momentum tensor of a non-null electromagnetic field can admit a conformal Ricci collineation, if and only if the collineation is homothetic. The restrictions on non-null Maxwell field, its sources, and its invariants implied by the symmetry condition are calculated. An example of a space-time satisfying the Einstein--Maxwell equations, and admitting a homothetic conformal vector field is also given.

• Research Organization: Department of Physics, University of California, Santa Barbara, California 93206
• OSTI ID: 6626754
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:6; 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
CONFORMAL INVARIANCE
CONSERVATION LAWS
EINSTEIN FIELD EQUATIONS
ELECTROMAGNETIC FIELDS
ENERGY-MOMENTUM TENSOR
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
SPACE-TIME
SYMMETRY GROUPS
TENSORS
VECTOR FIELDS