`Hidden' Symmetries of Higher Dimensional Rotating Black Holes

Abstract

We demonstrate that the rotating black holes in an arbitrary number of dimensions and without any restrictions on their rotation parameters possess the same `hidden' symmetry as the 4-dimensional Kerr metric. Namely, besides the spacetime symmetries generated by the Killing vectors they also admit the (antisymmetric) Killing-Yano and symmetric Killing tensors.

arXiv comment4 pages, slightly extended introduction

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• Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
• Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions
• Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of the Kerr-NUT-(A)dS spacetime
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• Five-Dimensional Black Hole Capture Cross-Sections
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• Self-dual metrics with maximally superintegrable geodesic flows
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• NUT-like and near-horizon limits of Kerr-NUT-(A)dS spacetimes
• Spacetimes with a separable Klein-Gordon equation in higher dimensions
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