Static gravitational and Maxwell fields in the general scalar tensor theory

Abstract

The expression for g00 as a function of the scalar field Ψ is obtained in the general scalar tensor theory of gravitation proposed by Nordtvedt and later discussed by Barker, assuming that there exists a functional relationship between them. Exact solutions for a plane symmetric static gravitational field are also obtained in this theory. Further the calculations are extended for the static electrovac with the assumption that here both g00 and the scalar field Ψ are functions of the electrostatic potential φ, and the results are different from those previously obtained in the corresponding situation of Brans–Dicke theory.