  Standard dilatonic supergravity $p$-branes have scalar charges that are not
independent parameters, but are determined by the brane tension and Page
charges. This feature can be traced to the no-hair theorem in the
four-dimensional Einstein-scalar gravity, implying that more general solutions
with independent scalar charges can have naked singularities. Since singular
branes are also of interest as tentative classical counterparts of unstable
tachyonic branes and/or brane-antibrane systems, it is worth investigating
branes with independent scalar charges in more detail. Here we study singular
branes associated with the Fisher-Janis-Newman-Winicour solution of
four-dimensional gravity. In the case of codimension three, we also construct
singular branes endowed with a Zipoy-Voorhees-type oblateness parameter. It is
expected that such branes will not be supersymmetric in the string theory. We
demonstrate this in the special case of NS5-branes of type II theory. We
analyze geodesics and test scalar perturbations of new solutions focusing on
possible quantum healing of classical singularities.
