MG12 - Talk detail |
|
Participant |
Visinescu, Mihai | |
|
Institution |
National Institute for Physics and Nuclear Engineering - "Horia Hulubei" , IFIN-HH - Magurele MG- 6 - Bucharest - Romania - Romania | |
|
Session |
Talk |
Abstract |
|
MGAT5 |
Conformal Killing-Yano tensors on higher dimensional spacetimes endowed with special structures |
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. |