  We study the bulk corresponding to tidal charged brane-world black holes. We
employ a propagating algorithm which makes use of the three-dimensional
multipole expansion and analytically yields the metric elements as functions of
the five-dimensional coordinates and of the ADM mass, tidal charge and brane
tension. Since the projected brane equations cannot determine how the charge
depends on the mass, our main purpose is to select the combinations of these
parameters for which black holes of microscopic size possess a regular bulk.
Our results could in particular be relevant for a better understanding of
TeV-scale black holes.
