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arxiv: 0909.1589 · v2 · submitted 2009-09-08 · 🌀 gr-qc · hep-th

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Black hole spacetimes with Killing-Yano symmetries

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classification 🌀 gr-qc hep-th
keywords killing-yanoblackspacetimestensorsholesymmetriesadmittingalgebraic
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We present a brief overview of black hole spacetimes admitting Killing-Yano tensors. In vacuum these include Kerr-NUT-(A)dS metrics and certain black brane solutions. In the presence of matter fields, (conformal) Killing-Yano symmetries are known to exist for the Plebanski-Demianski solution and (trivially) for any spacetime with spherical symmetry. Special attention is devoted to generalized Killing-Yano tensors of black holes in minimal gauged supergravity. Several aspects directly related to the existence of Killing-Yano tensors, such as the Kerr-Schild form, algebraic type of spacetimes, and separability of field equations, are also briefly discussed.

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