The massless scalar field which satisfies a conformally invariant equation is in some
respects more interesting than the ordinary one. Unfortunately, few, if any, exact solutions of
Einstein's equations for a conformal scalar stress-energy have appeared previously. Here
we present a theorem by means of which one can generate two Einstein-conformal scalar
solutions from a single Einstein-ordinary scalar solution (of which many are known). As an
example we show how to obtain Weyl-like solutions with a conformal scalar field. We obtain …