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.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Lacquaniti, V., & Montani, G. (2007). Hamiltonian formulation of 5-dimensional Kaluza-Klein theory. Nuovo Cimento della Societa Italiana di Fisica B, 122(2), 201 - 206. https://doi.org/10.1393/ncb/i2007-10362-2