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`Hidden' Symmetries of Higher Dimensional Rotating Black Holes

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arxiv gr-qc/0605058 v2 pith:QC3MBYN4 submitted 2006-05-10 gr-qc hep-th

Valeri P. Frolov , David Kubiznak This is my paper · ORCID
classification gr-qchep-th
keywords blackdimensionalhiddenholeskillingrotatingsymmetriesadmit
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spin precession in the strong deflection limit

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Spin precession near black holes diverges logarithmically in the strong-deflection limit and is related to the deflection angle by a compact formula.

  2. Convexity criterion and radial-profile response for off-shell Kerr geometries: a fuzzy-dark-matter profile as an analytic benchmark

    gr-qc 2026-08 accept novelty 5.0 of 10

    The paper proves a sufficient convexity criterion for off-shell Kerr radial mass profiles and derives first-order horizon, photon-sphere, and shadow responses for a fuzzy-dark-matter-inspired benchmark.

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