Simple Derivation of the Coupling Function in the Generalized Scalar-Tensor Theory of Gravitation

概要

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In the Machian point of view, the more restrictive criterion φ≡-Φ/ω for the Brans-Dicke scalar field is introduced instead of φ=O(ρ/ω) in the generalized scalar-tensor theory of gravitation. The scalar field φ should have the above form for all finite coupling parameter ω in cosmological considerations and the function Φ should not explicitly include ω. By means of this strong Machian criterion, the coupling function ω(ξ) is directly derived to be ω(ξ)=3/(ξ-2) without ambiguity. The Machian cosmological model is restricted to the closed universe due to this coupling function.
長崎県立大学の論文
2006-12-30