Preprint Article Version 1 This version is not peer-reviewed

On the Evolutionary Form of the Constraints in Electrodynamics

Version 1 : Received: 12 November 2018 / Approved: 13 November 2018 / Online: 13 November 2018 (11:03:45 CET)

A peer-reviewed article of this Preprint also exists.

Rácz, I. On the Evolutionary Form of the Constraints in Electrodynamics. Symmetry 2019, 11, 10. Rácz, I. On the Evolutionary Form of the Constraints in Electrodynamics. Symmetry 2019, 11, 10.

Journal reference: Symmetry 2018, 11, 10
DOI: 10.3390/sym11010010

Abstract

The constraint equations in Maxwell theory are investigated. In analogy with some recent results on the constraints of general relativity it is shown, regardless of the signature and dimension of the ambient space, that the "divergence of a vector field" type constraints can always be put into linear first order hyperbolic form for which global existence and uniqueness of solutions to an initial-boundary value problem is guaranteed.

Subject Areas

constrains; Maxwell theory; evolutionary equations

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