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Symmetry 2019, 11(1), 10; https://doi.org/10.3390/sym11010010

On the Evolutionary Form of the Constraints in Electrodynamics

1
Faculty of Physics, University of Warsaw, Ludwika Pasteura 5, 02-093 Warsaw, Poland
2
Wigner RCP, Konkoly Thege Miklós út 29-33, H-1121 Budapest, Hungary
Received: 12 November 2018 / Revised: 15 December 2018 / Accepted: 18 December 2018 / Published: 22 December 2018
(This article belongs to the Special Issue Symmetry in Electromagnetism)
Full-Text   |   PDF [270 KB, uploaded 22 December 2018]   |  

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 constraint can always be put into linear first order hyperbolic form for which the global existence and uniqueness of solutions to an initial-boundary value problem are guaranteed. View Full-Text
Keywords: Maxwell theory; constraint equations; evolutionary equations Maxwell theory; constraint equations; evolutionary equations
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Rácz, I. On the Evolutionary Form of the Constraints in Electrodynamics. Symmetry 2019, 11, 10.

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