Abstract
In gauge theories the total (or bundle) space is locally a direct product of spacetime and the internal space of gauge variables. In unified models of the Kaluza-Klein type the bundle is taken as a global direct product. The Einstein-Hilbert lagrangian written on the total space leads, when the coordinates are conveniently separated, to the four-dimensional Einstein-Hilbert lagrangian plus a lagrangian of the gauge type. Replacing the geometric paradigm of General Relativity by the gauge paradigm of Teleparallel Gravity leads to new versions of Kaluza-Klein models, in which the unifying lagrangian is of the gauge type.
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Aldrovandi, R., Pereira, J.G. (2013). Teleparallel Kaluza-Klein Theory. In: Teleparallel Gravity. Fundamental Theories of Physics, vol 173. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5143-9_16
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DOI: https://doi.org/10.1007/978-94-007-5143-9_16
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