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Hamiltonian Formulation of 5-dimensional Kaluza-Klein Theory

We analyze the consistency of the ADM approach to KK model; we prove that KK reduction commute with ADM splitting. This leads to a well defined Hamiltonian; we provide the outcome. The electromagnetic constraint is derived from a geometrical one and this result enforces the physical meaning of KK model. Moreover we study the role of the extra scalar field we have in our model; classical hints from geodesic motion and cosmological solutions suggest that the scalar field can be an alternative time variable in the relational point of view.

preprint2007arXivOpen access
Valentino LacquanitiGiovanni Montani
gr-qc
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Valentino LacquanitiGiovanni Montani

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