1979•Journal of Mathematical PhysicsRequires access

Plane symmetric static fields in Brans–Dicke theory of gravitation

A. Banerjee, D.P. Bhattacharya

Abstract

An explicit form of the relationship between g00 and the Brans–Dicke scalar potential φ in the interior of a perfect fluid with an equation of state p=ερ as well as in the matter free space, is obtained assuming functional dependence of g00 on φ. Plane symmetric static perfect fluids in Brans–Dicke theory of gravitation are discussed. Explicit solutions are also obtained for a fluid with ε=1/3, that is, for a disordered radiation and some of its properties studied.

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Key concepts: Brans–Dicke theory, Perfect fluid, Physics, Scalar theories of gravitation, Gravitation, Parameterized post-Newtonian formalism, Equation of state, Scalar (mathematics)