Killing-Yano tensors, rank-2 Killing tensors, and conserved quantities in higher dimensions View Full Text


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Article Info

DATE

2007-02-01

AUTHORS

Pavel Krtouš, David Kubiznák, Don N. Page, Valeri P. Frolov

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 0 ≤ j ≤ 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). More... »

PAGES

004

References to SciGraph publications

  • 1973-06. The symmetries of Kerr black holes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1970-12. On quadratic first integrals of the geodesic equations for type {22} spacetimes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1968-12. Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1980-09. Separability structures and Killing-Yano tensors in vacuum type-D space-times without acceleration in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 1977-10. A comment on the symmetries of Kerr black holes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007-02-01. Separability of Hamilton-Jacobi and Klein-Gordon equations in general Kerr-NUT-AdS spacetimes in JOURNAL OF HIGH ENERGY PHYSICS
  • 1979-01. Remarks on certain separability structures and their applications to general relativity in GENERAL RELATIVITY AND GRAVITATION
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    http://scigraph.springernature.com/pub.10.1088/1126-6708/2007/02/004

    DOI

    http://dx.doi.org/10.1088/1126-6708/2007/02/004

    DIMENSIONS

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