Black holes on the brane

We consider exact solutions fur static black holes localized on a three-bra ne in five-dimensional gravity in the Randall-Sundrum scenario. We show tha t the Reissner-Nordstrom metric is an exact solution of the effective Einst ein equations on the brane, re-interpreted as a black hole without electric charge, but with instead a tidal 'charge' arising via gravitational effect s from the fifth dimension. The tidal correction to the Schwarzschild poten tial is negative, which is impossible in general relativity, and in this ca se only one horizon is admitted. located outside the Schwarzschild horizon. The solution satisfies a closed system of equations on the brane, and desc ribes the strong-gravity regime. Current observations do not strongly const rain the tidal charge, and significant tidal corrections could in principle arise in the strong-gravity regime and for primordial black holes. (C) 200 0 Elsevier Science B.V. All rights reserved.