Maxwell’s equations from spacetime geometry and the role of Weyl curvature
Autor: | Jukka Liukkonen, Jussi Lindgren |
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Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Journal of Physics: Conference Series. 1956:012017 |
ISSN: | 1742-6596 1742-6588 |
DOI: | 10.1088/1742-6596/1956/1/012017 |
Popis: | This research article demonstrates how the field equations of electrodynamics can be shown to be a special case of Einstein field equations of General Relativity. By establishing a special conjecture between the electromagnetic four-potential and the metric of the spacetime, it is first shown how the relativistic wave equation of electrodynamics is a condition for the metric to be Ricci-flat. Moreover, the four-current is identified with a certain four-gradient, which allows one to conjecture that electric charge is related to the covariant divergence of the electromagnetic four-potential. These considerations allow one to understand the Einstein field equations as a nonlinear generalization of Maxwell’s equations. Finally, it is argued that the four-current induces Weyl curvature on the spacetime. |
Databáze: | OpenAIRE |
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