Generalized Electrodynamics as a Special Case of Metric Independent Stress Theory

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Abstract

We use a metric invariant stress theory of continuum mechanics to formulate a simple generalization of the the basic variables of electrodynamics and Maxwell's equations to general differentiable manifolds of any dimension, thus viewing generalized electrodynamics as a special case of continuum mechanics. The basic variable is the potential, or a variation thereof, which is represented as an r-form in a d-dimensional spacetime. The stress for the case of generalized electrodynamics, is assumed to be represented by an (d−r−1)-form, a generalization of the Maxwell 2-form.
Original languageEnglish
Journalarxiv math-ph
StatePublished - 1 Dec 2014

Keywords

  • Mathematical Physics
  • 78A25
  • 78A97
  • 74A10
  • 83C50
  • 53Z05

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