Kaluza's theory in generalized coordinates

Details Kaluza's theory in generalized coordinates Kaluza's theory in generalized coordinates

2001-08-08

arxiv.org/abs/gr-qc/0108023v1

J.Math.Phys. 42 (2001) 5785-5799

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, RevTex. Accepted for publication in the Journal of Matematical Physics

Scientific paper

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.

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