Hamiltonian Formulation of 5-dimensional Kaluza-Klein Theory
General Relativity and Quantum Cosmology
2010-11-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0702007,
title = {Hamiltonian Formulation of 5-dimensional Kaluza-Klein Theory},
author = {Valentino Lacquaniti and Giovanni Montani},
journal= {arXiv preprint arXiv:gr-qc/0702007},
year = {2010}
}
Comments
5 pages, proceedings of the First Stueckelberg Workshop, to appear on "Il Nuovo Cimento B"