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2007

Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes

Frolov, Valeri P.

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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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