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arxiv: 0907.1804 · v3 · submitted 2009-07-10 · ✦ hep-th · gr-qc

Uniqueness of Rotating Charged Black Holes in Five-Dimensional Minimal Gauged Supergravity

classification ✦ hep-th gr-qc
keywords torsiondifferentiationexteriorfive-dimensionalspacetimeblackchargedclosed
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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.

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