Conformally flat static space--time in Brans--Dicke theory

Journal Article · Fri May 01 00:00:00 EDT 1981 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.525014· OSTI ID:6329845

Banerjee, A; Santos, N O

For the conformally flat spherically symmetric static space--time we obtain the most general solution for Brans--Dicke field equations for a vacuum. By coupling the electromagnetic field to Brans--Dicke theory and imposing the condition of asymptotical flatness we obtain the most general solution for the space--time. We also present some other solutions of Brans--Dicke field equations with the conformally flat condition but without any particular symmetry. Finally, we give the transformation for generating solutions of Brans--Dicke field equations with or without electromagnetic field for ..omega.. = -3/2 from purely vacuum solutions of Einstein's field equations.

• Research Organization: Instituto de Fisica-Ilha do Fundao, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil
• OSTI ID: 6329845
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 22:5; 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
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
GRAVITATION
METRICS
SPACE-TIME