{
  "id": "hep-th/0612029",
  "version": "v1",
  "published": "2006-12-05T20:45:14.000Z",
  "updated": "2006-12-05T20:45:14.000Z",
  "title": "Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions",
  "authors": [
    "Pavel Krtous",
    "David Kubiznak",
    "Don N. Page",
    "Valeri P. Frolov"
  ],
  "comment": "7 pages",
  "journal": "JHEP 0702:004,2007",
  "doi": "10.1088/1126-6708/2007/02/004",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "From the metric and one Killing-Yano tensor of rank D-2 in any D-dimensional spacetime with such a principal Killing-Yano tensor, we show how to generate k=[(D+1)/2] Killing-Yano tensors, of rank D-2j for all j=0,...,k-1, and k rank-2 Killing tensors, giving k constants of geodesic motion that are in involution. For the example of the Kerr-NUT-AdS spacetime (hep-th/0604125) with its principal Killing-Yano tensor (gr-qc/0610144), these constants and the constants from the k Killing vectors give D independent constants in involution, making the geodesic motion completely integrable (hep-th/0611083). The constants of motion are also related to the constants recently obtained in the separation of the Hamilton-Jacobi and Klein-Gordon equations (hep-th/0611245).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-05T20:45:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.70.Bw",
      "04.50.+h",
      "04.20.Jb"
    ],
    "keywords": [
      "killing tensors",
      "higher dimensions",
      "conserved quantities",
      "principal killing-yano tensor",
      "geodesic motion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "J. High Energ. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 733506
    }
  }
}