Torsion-modified vector equations separate in the Chong-Cvetič-Lu-Pope black hole via a generalized principal Killing-Yano tensor.
Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes
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abstract
The paper contains a brief review of recent results on hidden symmetries in higher dimensional black hole spacetimes. We show how the existence of a principal CKY tensor (that is a closed non-degenerate conformal Killing-Yano 2-form) allows one to generate a `tower' of Killing-Yano and Killing tensors responcible for hidden symmetries. These symmetries imply complete integrability of geodesic equations and the complete separation of variables in the Hamilton-Jacobi, Klein-Gordon and Dirac equations in the general Kerr-NUT-(A)dS metrics.
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2019 1verdicts
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Principal Tensor Strikes Again: Separability of Vector Equations with Torsion
Torsion-modified vector equations separate in the Chong-Cvetič-Lu-Pope black hole via a generalized principal Killing-Yano tensor.