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Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity
We study a five-dimensional spacetime admitting, in the presence of torsion,
a non-degenerate conformal Killing-Yano 2-form which is closed with respect to
both the usual exterior differentiation and the exterior differentiation with
torsion. Furthermore, assuming that the torsion is closed and co-closed with
respect to the exterior differentiation with torsion, we prove that such a
spacetime is the only spacetime given by the Chong-Cvetic-Lu-Pope solution for
stationary, rotating charged black holes with two independent angular momenta
in five-dimensional minimal gauged supergravity.Comment: Dedicated to Nihat Berker on the occasion of his 60th birthday; 13
pages, REVTe