  The variational field equations of Brans-Dicke scalar-tensor theory of
gravitation are given in a non-Riemannian setting in the language of exterior
differential forms over 4-dimensional spacetimes. A conformally re-scaled
Robinson-Trautman metric together with the Brans-Dicke scalar field are used to
characterise algebraically special Robinson-Trautman spacetimes. All the
relevant tensors are worked out in a complex null basis and given explicitly in
an appendix for future reference. Some special families of solutions are also
given and discussed.
