General solutions for a static isotropic metric in the Brans-Dicke gravitational theory

Physics

Scientific paper

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Field Theory (Physics), Gravitation Theory, Isotropy, Space-Time Functions, Tensor Analysis, Cosmology, Roots Of Equations

Scientific paper

The complete set of vacuum solutions for the metric tensor of a static spherically symmetric field is given, some of these solutions showing the remarkable feature of not agreeing - even in first order - with the classically well-known weak-field solutions of the Brans-Dicke (B.D.) equations. The existence of a particular two-parameter family of solutions raises severe doubts about the so-called Machian aspect of B.D. theory.

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