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.
|State||Published - 1 Dec 2014|
- Mathematical Physics