Effective Gravitational "Constant" in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

In theories where a scalar field couples nonminimally to gravity, the effective gravitational constant becomes dependent on the value of the scalar field. This note first gives a brief review on how the cosmological evolution provides a dynamical stabilization for the gravitational constant as the system relaxes towards general relativity in matter dominated and potential dominated regimes for scalar-(curvature)tensor and scalar-torsion gravities. Second part summarizes the radius dependence of the gravitational constant around a point mass in the parametrized post-Newtonian formalism for scalar-tensor and multiscalar-tensor gravity.