Closed conformal Killing-Yano tensor and geodesic integrability

Abstract

Assuming the existence of a single rank-2 closed conformal Killing-Yano tensor with a certain symmetry we show that there exist mutually commuting rank-2 Killing tensors and Killing vectors. We also discuss the condition of separation of variables for the geodesic Hamilton-Jacobi equations.

17 pages, no figure, LaTeX

References in corpus (2)

• Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
• Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes

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• Generalized Kerr-NUT-de Sitter metrics in all dimensions
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