Abstract
The gravitational field equations of Brans–Dicke theory are given in a 4-dimensional non-Riemannian space-time with torsion in the language of exterior differential forms A class of pp-wave metrics together with the Brans–Dicke scalar field are used to derive the autoparallel equations of motion for non-spinning test masses. These are compared with the geodesic equations of motion and the differences are pointed out. The effects of the gradient of the Brans–Dicke scalar on the geodesic deviation equations in this non-Riemannian setting are also discussed.
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