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It is shown that the Dirac equations in general higher dimensional Kerr-NUT-de Sitter spacetimes are separated into ordinary differential equations.
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M. Tanimoto, “The Role of Killing-Yano tensors in supersymmetric mechanics on a curved manifold,” Nucl. Phys. B442
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M. Cariglia, “Quantum Mechanics of Yano tensors: Dirac equation in curved spacetime,” Class. Quant. Grav. 21
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Y. Hashimoto, M. Sakaguchi and Y. Yasui, “Sasaki-Einstein Twist of Kerr-AdS Black Holes,” Phys. Lett. B 600
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M. Cvetič, H. Lü, D.N. Page and C.N. Pope, “New Einstein-Sasaki spaces in five and higher dimensions,” Phys. Rev. Lett. 95
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Cited alongside, same era.
W. Chen, H. Lü and C.N. Pope, “General Kerr-NUT-AdS metrics in all dimensions,” Class. Quant. Grav. 23
2006
Cited alongside, same era.
V.P. Frolov, P. Krtouš and D. Kubizňák, “Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes,” JHEP 0702
2007
Cited alongside, same era.
V.P. Frolov and D. Kubizňák, “‘Hidden’ Symmetries of Higher Dimensional Rotating Black Holes,” Phys. Rev. Lett. 98
2007
Cited alongside, same era.
D. Kubizňák and V.P. Frolov, “Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes,” Class. Quant. Grav. 24
2007
Cited alongside, same era.
D.N. Page, D. Kubizňák, M. Vasudevan and P. Krtouš, “Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes,” Phys. Rev. Lett. 98
2007
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P. Krtouš, D. Kubizňák, D.N. Page and V.P. Frolov, “Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions,” JHEP 0702
2007
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T. Houri, T. Oota and Y. Yasui, “Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness,” Phys. Lett. B656
2007
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N. Hamamoto, T. Houri, T. Oota and Y. Yasui, “Kerr-NUT-de Sitter curvature in all dimensions,” J. Phys. A40
2007
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P. Krtouš, D. Kubizňák, D.N. Page and M. Vasudevan, “Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetime,” arXiv:hep-th/0707.0001
Cited in the paper.
T. Houri, T. Oota and Y. Yasui, “Closed conformal Killing-Yano tensor and geodesic integrability,” arXiv:hep-th/0707.4039
Cited in the paper.