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A six dimensional analysis of Maxwell's Field Equations

Ana Laura García-Perciante·Alfredo Sandoval-Villalbazo·L. S. García Colín
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Abstract

A framework based on an extension of Kaluza's original idea of using a five dimensional space to unify gravity with electromagnetism is used to analyze Maxwell\'{}s field equations. The extension consists in the use of a six dimensional space in which all equations of electromagnetism may be obtained using only Einstein's field equation. Two major advantages of this approach to electromagnetism are discussed, a full symmetric derivation for the wave equations for the potentials and a natural inclusion of magnetic monopoles without using any argument based on singularities.

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Ana Laura García-Perciante, Alfredo Sandoval-Villalbazo, L. S. García Colín. 2002-02-08. A six dimensional analysis of Maxwell's Field Equations. https://arxiv.org/abs/gr-qc/0202030

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