Hamiltonian formulation of 5-dimensional Kaluza-Klein theory

V. Lacquaniti, G. Montani

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Abstract

We analyze the consistency of the ADM approach to KK model; we prove that KK reduction commutes 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 φ we have in our model; classical hints from geodesic motion and cosmological solutions suggest that φ can be an alternative time variable in the relational point of view. © Società Italiana di Fisica.
Original languageEnglish
Pages (from-to)201 - 206
Number of pages6
JournalNuovo Cimento della Societa Italiana di Fisica B
Volume122
Issue number2
DOIs
Publication statusPublished - Feb 2007
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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