Action-angle variables for geodesic motions in SasakiEinstein spaces Yp,q
Mihai Visinescu (Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering, Magurele, P.O. Box M.G.-6, Romania)
We use action-angle variables to describe the geodesic motions in the 5-dimensional SasakiEinstein spaces Yp,q . This formulation allows us to study thoroughly the complete integrability of the system. We find that the Hamiltonian involves a reduced number of action variables. Therefore one of the fundamental frequencies is zero, indicating chaotic behavior when the system is perturbed.
