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arxiv: 0707.4039 · v1 · submitted 2007-07-27 · ✦ hep-th · gr-qc

Closed conformal Killing-Yano tensor and geodesic integrability

classification ✦ hep-th gr-qc
keywords closedconformalgeodesickillingkilling-yanorank-2tensorassuming
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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.

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