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

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

2009-01-29

arxiv.org/abs/0901.4724v6

Phys.Rev.D79:124023,2009

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, references are added, to be published in PRD

Scientific paper

10.1103/PhysRevD.79.124023

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 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 five-dimensional Cvetic-Youm solution with equal charges. We also discuss a generalization of our uniqueness theorem for spherical black holes to the case of black rings.

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