Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity

Abstract

We show a uniqueness theorem for charged rotating black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and spherical topology of horizon cross sections, we prove that an asymptotically flat, stationary charged rotating black hole with finite temperature in the five-dimensional Einstein-Maxwell-Chern-Simons theory is uniquely characterized by the mass, charge, and two independent angular momenta and therefore is described by the Chong-Cveti\ifmmode \check{c}\else \v{c}\fi{}-L\"u-Pope solution. We also discuss a generalization of our uniqueness theorem for spherical black holes to the case of black rings.