  A method is presented to construct a particular, non-minimally coupled
scalar-tensor theory such that a given metric is an exact vacuum solution in
that theory. In contrast to the standard approach in studies of gravitational
dynamics, where one begins with an action and then solves the equations of
motion, this approach allows for an explicit theory to be built around some
pre-specified geometry. Starting from a parameterized black hole spacetime with
generic, non-Kerr hairs, it is shown how an overarching family of theories can
be designed to fit the metric exactly.
