  Motivated by the holographic self-tuning proposal of the cosmological
constant, we generalize and study the cosmology of brane-worlds embedded in a
higher-dimensional bulk black hole geometry. We describe the equations and
matching conditions in the case of flat, spherical and hyperbolic slicing of
the bulk geometry and find the conditions for the existence of a static
solution. We solve the equations that govern dynamical geometries in the probe
brane limit and we describe in detail the resulting brane-world cosmologies. Of
particular interest are the properties of solutions when the brane-world
approaches the black hole horizon. In this case the geometry induced on the
brane is that of de Sitter, whose entropy and temperature is related to those
of the higher dimensional bulk black hole.
