  Recently, an extension of teleparallelism to a Weyl geometry which allows us
to easily establish conformal invariance and "geometrize" electromagnetism has
been presented. In this paper, I extend a result which concerns the existence
of the Schwarzschild solution to a particular class of this extension. In
addition, I obtain the field equations of some models based on this extension,
including the one which is equivalent to Einstein's field equations with a
massless scalar field.
