A variational formulation of electrodynamics with external sources

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We present a variational formulation of electrodynamics using de Rham even and odd differential forms. Our formulation relies on a variational principle more complete than the Hamilton principle and thus leads to field equations with external sources and permits the derivation of the constitutive relations. We interpret a domain in space-time as an odd de Rham 4-current. This permits a treatment of different types of boundary problems in an unified way. In particular we obtain a smooth transition to the infinitesimal version by using a current with a one point support.
23 pages, to appear in Int. J. Geom. Methods Mod. Phys. (IJGMMP)

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Mathematical Physics, Differential Geometry, 49S05, 70S05

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http://salesiana.dossiersoluciones.com/handle/123456789/221363

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0433
 http://arxiv.org/abs/0704.0433
 Int. J. Geom. Methods Mod. Phys. 6 (2009), 173-200
 doi:10.1142/S0219887809003461

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arXiv