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

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1311l&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Computer Science

Kaluza-Klein Theories, Adm Splitting, Hamiltonian Formulation

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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