Hamiltonian formulation of the 5-D Kaluza-Klein model and test-particle motion

Details Hamiltonian formulation of the 5-D Kaluza-Klein model and test-particle motion Hamiltonian formulation of the 5-D Kaluza-Klein model and test-particle motion

2006-12-19

arxiv.org/abs/gr-qc/0612118v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, proceedings of the XI Marcel Grossmann meeting on Relativistic Astrophysics, July 23-29, 2006, Berlin

Scientific paper

We examine the ADM reformulation of the 5-D KK model: the dimensional reduction is provided to commute with the ADM splitting and we show how the time component of the gauge vector is given by combination of the Lagrangian multipliers for the 5-D gravitational field. We consider 5D particles motion and after dimensional reduction the definition of charge is recovered within electrodynamic coupling. A time-varying fine structure constant is recognized because an extra scalar field is present in the 4-D theory.

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