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We construct from first principles the geometry of an analytic, exponentiallylocalized five-dimensional brane-world black hole. The black-hole singularitylies entirely on the 3-brane, while the event horizon is shown to have apancake shape. The induced line-element on the brane assumes the form of theSchwarzschild solution while the bulk geometry is effectively AdS$_5$ outsidethe horizon. The derived geometry is supported by an anisotropic fluid in thebulk described only by two independent components, the energy density andtangential pressure, whereas no matter needs to be introduced on the brane forits consistent embedding in the bulk.

Localized brane-world black hole analytically connected to an AdS$_5$ boundary