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Speaker |
Visinescu, Mihai |
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Co-autors |
Stere Ianus, Anca Visinescu, Gabriel Eduard Vilcu |
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Talk Title |
Conformal Killing-Yano tensors on higher dimensional spacetimes endowed with special structures |
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Abstract |
Conformal Killing-Yano tensors on higher dimensional spacetimes generate hidden symmetries intimately related to the integrability of the geodesic motions and separability of Hamilton-Jacobi, Klein-Gordon, Dirac equations in these backgrounds. The existence of conformal Killing-Yano tensors on spacetimes endowed with a mixed 3-Sasakian structure is proved. Some explicit examples of Einstein spacetimes with mixed 3-Sasakian structures are constructed. These spacetimes admit three orthogonal Killing vector fields, one timelike and the others spacelike. The distribution spanned by them is integrable, defines a 3-dimensional Riemannian foliation having totally geodesic leaves of constant curvature. |
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