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New Metrics Admitting the Principal Killing-Yano Tensor

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arxiv 1712.08070 v2 pith:3HCX735Y submitted 2017-12-21 gr-qc hep-th

Valeri P. Frolov , Pavel Krtous , David Kubiznak This is my paper · ORCID
classification gr-qchep-th
keywords principaltensoradmittingdimensionseigenvalueskilling-yanometricsoff-shell
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It is believed that in any number of dimensions the off-shell Kerr-NUT-(A)dS metric represents a unique geometry admitting the principal (rank 2, non-degenerate, closed conformal Killing-Yano) tensor. The original proof relied on the Euclidean signature and therein natural assumption that the eigenvalues of the principal tensor have gradients of spacelike character. In this paper we evade this common wisdom and construct new classes of Lorentzian (and other signature) off-shell metrics admitting the principal tensor with null eigenvalues, uncovering so a much richer structure of spacetimes with principal tensor in four and higher dimensions. A few observations regarding the Kerr-Schild ansatz are also made.

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Cited by 3 Pith papers

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

  1. Hawking emission of massive vector fields by Kerr black holes

    gr-qc 2026-07 conditional novelty 7.0 of 10

    First computation of massive vector (Proca) Hawking emission spectra from Kerr black holes, including polarization-dependent greybody factors, Page functions, and mass-enhanced superradiance up to ~7%.

  2. Principal Tensor Strikes Again: Separability of Vector Equations with Torsion

    hep-th 2019-06 unverdicted novelty 6.0 of 10

    Torsion-modified vector equations separate in the Chong-Cvetič-Lu-Pope black hole via a generalized principal Killing-Yano tensor.

  3. Extremal Kerr-Schild Form

    gr-qc 2024-11 conditional novelty 5.0 of 10

    A non-extremal black hole can be written exactly as its extremal limit plus a linear-in-mass term built from a single null vector, for a wide class of known solutions.

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