Black holes and U-duality Original Research Article

We find the general charged rotating black hole solutions of the maximal supergravities in dimensions 4 ⩽ D ⩽ 9 arising from toroidally compactified type II string or M-theories. In each dimension, these are obtained by acting on a generating solution with classical duality symmetries. In D = 4, D = 5 and 6 ⩽ D ⩽ 9 the generating solutin is specified by the ADM mass, [D−12-angular momentum components and five, three and two charges, respectively. We discuss the BPS-saturated (static) black holes and derive the U-duality invariant form of the area of the horizon. We also comment on the U-duality invariant form of the BPS mass formulae.