GT2 - Chaos in General Relativity and Cosmology |
Speaker_ |
Benini, Riccardo |
Co-autors |
Alexander A. Kirillov, Giovanni Montani |
Talk _ |
Vector Field Induced Chaos in Multi-dimensional Homogeneous Cosmologies |
Abstract _ |
We show that in multidimensional gravity, vector fields completely determine the structure and properties of singularity. It turns out that, in presence of a vector field, the oscillatory regime exists for all homogeneous models in any number of space-time dimensions. By analyzing the Hamiltonian equations, we derive the Poincaré return map associated with the Kasner indices and fix the rules according to which the Kasner vectors rotate. In correspondence to a four-dimensional space-time, the oscillatory regime here constructed overlaps the usual Belinski-Khalatnikov-Liftshitz one. |