Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables

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dc.creatorFrolov, Valeri P.
dc.creatorKubiznak, David
dc.date2008-02-04
dc.date2008-03-27
dc.date.accessioned2026-07-07T11:55:49Z
dc.date.available2026-07-07T11:55:49Z
dc.descriptionIn this paper, we discuss hidden symmetries in rotating black hole spacetimes. We start with an extended introduction which mainly summarizes results on hidden symmetries in four dimensions and introduces Killing and Killing-Yano tensors, objects responsible for hidden symmetries. We also demonstrate how starting with a principal CKY tensor (that is a closed non-degenerate conformal Killing-Yano 2-form) in 4D flat spacetime one can "generate" 4D Kerr-NUT-(A)dS solution and its hidden symmetries. After this we consider higher-dimensional Kerr-NUT-(A)dS metrics and demonstrate that they possess a principal CKY tensor which allows one to generate the whole tower of Killing-Yano and Killing tensors. These symmetries imply complete integrability of geodesic equations and complete separation of variables for the Hamilton-Jacobi, Klein-Gordon, and Dirac equations in the general Kerr-NUT-(A)dS metrics.
dc.description33 pages, no figures, updated references and corrected typos
dc.identifierhttps://arxiv.org/abs/0802.0322
dc.identifierhttp://arxiv.org/abs/0802.0322
dc.identifierClass.Quant.Grav.25:154005,2008
dc.identifierdoi:10.1088/0264-9381/25/15/154005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205374
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHigher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
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