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Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes

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arxiv gr-qc/0610144 v2 pith:SUVC6V6O submitted 2006-10-28 gr-qc hep-th

David Kubiznak , Valeri P. Frolov This is my paper · ORCID
classification gr-qchep-th
keywords dimensionalkerr-nut-adskilling-yanotensorhiddenhigherparameterssymmetry
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It is well known that 4-dimensional Kerr-NUT-AdS spacetime possesses the hidden symmetry associated with the Killing-Yano tensor. This tensor is "universal" in the sense that there exist coordinates where it does not depend on any of the free parameters of the metric. Recently the general higher dimensional Kerr-NUT-AdS solutions of the Einstein equations were obtained. We demonstrate that all these metrics with arbitrary rotation and NUT parameters admit a universal Killing-Yano tensor. We give an explicit presentation of the Killing-Yano and Killing tensors and briefly discuss their properties.

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Cited by 5 Pith papers

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

  1. Mass/electric versus NUT/magnetic charges: duality from scattering amplitudes in $D\geq4$ and for all bosonic spins

    hep-th 2026-07 conditional novelty 7.0 of 10

    Kerr-NUT mass/electric and equal-NUT/magnetic charges are dual in D≥4, realized as J_σ ↔ J_−σ in 3-point amplitudes generated by a spin-raising operator for all bosonic spins.

  2. Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitut...

  3. The Role of the Volume in Black Hole Thermodynamics

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Conserved charges built from a Kerr-Schild background show the first law requires the Killing vector and AdS background to be held fixed, explaining why the rotating-frame energy F fails while E works, and why the geo...

  4. Constraints on extra charges in dyonic Kerr-Newman-Kasuya-Taub-NUT black hole from the observations of quasi-periodic oscillations

    astro-ph.HE 2025-07 conditional novelty 4.0 of 10

    Using QPO data from five X-ray binaries, the authors place upper limits on electric, magnetic, and NUT charges of a dyonic Kerr black hole, with a tentative nonzero NUT parameter in GRS 1915+105.

  5. Black hole chemistry: thermodynamics with Lambda

    hep-th 2016-08 accept novelty 3.0 of 10

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reen...

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