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arXiv · 0712.4157

Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes

Valeri P. Frolov
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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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Valeri P. Frolov. 2007-12-26. Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes. https://doi.org/10.1143/ptps.172.210

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