Kaluza's theory in generalized coordinates
arXiv:gr-qc/0108023 · doi:10.1063/1.1412463
Abstract
Maxwell's equations can be obtained in generalized coordinates by considering the electromagnetic field as an external agent. The work here presented shows how to obtain the electrodynamics for a charged particle in generalized coordinates eliminating the concept of external force. Based on Kaluza's formalism, the one here presented extends the 5x5 metric into a 6x6 space-time giving enough room to include magnetic monopoles in a very natural way.
11 pages, RevTex. Accepted for publication in the Journal of Matematical Physics