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

TL;DR

This paper proves a uniqueness theorem for five-dimensional charged rotating black holes in supergravity, showing they are characterized by specific parameters and are described by a known solution, with extensions to black rings.

Contribution

It establishes a new uniqueness theorem for charged rotating black holes in five-dimensional supergravity, including black rings, based on specific symmetry and topology assumptions.

Findings

Black holes are uniquely characterized by mass, charge, and angular momenta.

The solutions are described by the five-dimensional Cvetic-Youm solution with equal charges.

The theorem extends to black rings with spherical topology.

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.