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 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.

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

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• Towards Cosmological Black Rings
• Small Horizons
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• Twistor Construction of Higher-Dimensional Black Holes - Part II: Examples
• Can Dirac fermions Destroy Yang-Mills Black Hole?
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