1983Journal of Physics A Mathematical and GeneralRequires access

General solutions for the field of a charged particle in Brans-Dicke theory of gravitation

N Van den Bergh

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Abstract

The field equations in the Brans-Dicke (BD) scalar-tensor theory of gravitation are solved for a spherically symmetric metric. The solutions generalise earlier conformally flat results and may all be considered as describing the field of a charged mass point surrounded by a scalar-tensor field. The conformally flat solutions are shown to be not physically meaningful for 'standard' BD theory with 2 omega +3>0.

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What this paper is about

The field equations in the Brans-Dicke (BD) scalar-tensor theory of gravitation are solved for a spherically symmetric metric. The solutions generalise earlier conformally flat results and may all be considered as describing the field of a charged mass point surrounded by a scalar-tensor field. The conformally flat solutions are shown to be not physically meaningful for 'standard' BD theory with 2 omega +3>0.

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Available abstract

The field equations in the Brans-Dicke (BD) scalar-tensor theory of gravitation are solved for a spherically symmetric metric. The solutions generalise earlier conformally flat results and may all be considered as describing the field of a charged mass point surrounded by a scalar-tensor field. The conformally flat solutions are shown to be not physically meaningful for 'standard' BD theory with 2 omega +3>0.

Key concepts: Brans–Dicke theory, Scalar–tensor theory, Physics, Scalar theories of gravitation, Gravitation, Mathematical physics, Scalar field, Classical field theory

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