STATIC GRAVITATIONAL AND MAXWELL FIELDS IN THE GENERAL SCALAR TENSOR THEORY

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 g 00 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. © 1960 American Institute of Physics.