  In the Randall-Sundrum scenario we consider exact 5-dimensional solutions
with localized gravity which are associated with a well defined class of
conformal bulk fields. We analyze their behaviour under radion field
perturbations. We show that if the Randall-Sundrum exponential warp is the
localizing metric function and the equation of state of the conformal fields is
not changed by the radion perturbation then the 5-dimensional solutions are
unstable. We present new stable solutions which describe on the brane the
dynamics of inhomogeneous dust, generalized dark radiation and homogeneous
polytopic matter.
