  In this talk we consider the problem of a scalar field, non-minimally coupled
to gravity, in the presence of a Brane. A number of exact solutions, for a wide
range of values of the coupling parameter, are presented. The behavior and
general features of these solutions are discussed. We derive solutions for the
scalar field compatible with the Randall-Sundrum metric and also geometries
which can accomodate a folded kink-like scalar. Analytic and numerical results
are provided for the case of a Brane or for smooth geometries, where the scalar
field acts as a thick Brane. We also discuss briefly the graviton localization
in our setup and demonstrate the characteristic volcano-like localizing
potential for gravitons.
