Derivation of conditions for a Brans-Dicke coupling constant of order unity be consistent with solar system bounds

TL;DR

This paper investigates the conditions under which a Brans-Dicke scalar-tensor theory with a coupling constant around one can be consistent with solar system experimental bounds, providing mathematical proofs for certain assumptions.

Contribution

It offers rigorous proofs of assumptions that support the viability of a scalar field model with low Brans-Dicke coupling in light of solar system constraints.

Findings

Derived conditions for Brans-Dicke coupling constant compatibility

Validated assumptions for scalar field effects in gravitational tests

Enhanced understanding of scalar-tensor theories in solar system context

Abstract

We provide proofs of some assumptions recently made by F. O. Minotti to conclude on the possibility that an additional scalar field minimally coupled to gravity may help to reconcile a Brans-Dicke coupling constant $\omega$ of the order unity with solar system bounds.