Uniqueness of Five-Dimensional Supersymmetric Black Holes

A classification of supersymmetric solutions of five dimensional ungauged supergravity coupled to arbitrary many abelian vector multiplets is used to prove a uniqueness theorem for asymptotically flat supersymmetric black holes with regular horizons. It is shown that the only such black hole of this theory for which the scalars and gauge field strengths are sufficiently regular on the horizon is the solution found by Chamseddine and Sabra