AT3 - Higher Dimensional Theories |
Speaker_ |
Lacquaniti, Valentino |
Co-autors |
Giovanni Montani |
Talk _ |
Hamiltonian formulation of the 5-D Kaluza-Klein model and test-particle motion. |
Abstract _ |
We examine the ADM reformulation of the 5-D KK model: the KK reduction is provided to commute with the ADM splitting. In details, we determine how the time component of the gauge vector is given by combination of the Lagrangian multipliers for the 5-D gravitational field. We work out the explicit Hamiltonian and give some simple solutions for the metric field in the ADM picture. Finally, we consider the motion of test-particles in the 5-D scenario: the definition of charge leads to the usual electro-dynamics coupling after dimensional reduction; a time-varying fine structure constant is recognized because an extra scalar field is present in the 4-D theory. |