  We construct from first principles the geometry of an analytic, exponentially
localized five-dimensional brane-world black hole. The black-hole singularity
lies entirely on the 3-brane, while the event horizon is shown to have a
pancake shape. The induced line-element on the brane assumes the form of the
Schwarzschild solution while the bulk geometry is effectively AdS$_5$ outside
the horizon. The derived geometry is supported by an anisotropic fluid in the
bulk described only by two independent components, the energy density and
tangential pressure, whereas no matter needs to be introduced on the brane for
its consistent embedding in the bulk.
