  We develop the effective worldvolume theory for the dynamics of black branes
with charges of the kind that arise in many supergravities and low-energy
limits of string theory. Using this theory, we construct numerous new rotating
black holes with charges and dipoles of D-branes, fundamental strings and other
branes. In some instances, the black holes can be dynamically stable close
enough to extremality. Some of these black holes, such as those based on the
D1-D5-P system, have extremal, non-supersymmetric limits with regular horizons
of finite area and a wide variety of horizon topologies and geometries.
