  We analyze further the possibility of obtaining localized black hole
solutions in the framework of Randall-Sundrum-type brane-world models. We
consider black hole line-elements analytic at the horizon, namely,
generalizations of the Painleve and Vaidya metrics, which are taken to have a
decaying dependence of the horizon on the extra dimension. These backgrounds
have no other singularities apart from the standard black hole singularity
which is localized in the direction of the fifth dimension. Both line-elements
can be sustained by a regular, shell-like distribution of bulk matter of a
non-standard form. Of the two, the Vaidya line-element is shown to provide the
most attractive, natural choice: despite the scaling of the horizon, the 5D
spacetime has the same topological structure as the one of a RS-Schwarzschild
spacetime and demands a minimal bulk energy-momentum tensor.
