  We construct an n+q+2 dimensional background that has dilatonic q-brane
singularities and that is charged under an antisymmetric tensor field, the
background spacetime being maximally symmetric in n-dimensions with constant
curvature k=0,+1,-1. For k=1 the bulk solutions correspond to black q-branes.
For k=0,-1 the geometry resembles the `white hole' region of the
Reissner-N"ordstrom solution with a past Cauchy horizon. The metric between the
(timelike) singularity and the horizon is static whereas beyond the horizon it
is cosmological. In the particular case of q=0, we study the motion of a
codimension one n-brane in these charged dilatonic backgrounds that interpolate
between the original scalar self-tuning and the black hole geometry and provide
a way to avoid the naked singularity problem and/or the need of having exotic
matter on the brane. These backgrounds are asymmetrically warped and so break
4D Lorentz symmetry in a way that is safe for particle physics but may lead to
faster than light propagation in the gravitational sector.
