On the evolutionary form of the constraints in electrodynamics
General Relativity and Quantum Cosmology
2018-12-27 v2
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.
Cite
@article{arxiv.1811.06873,
title = {On the evolutionary form of the constraints in electrodynamics},
author = {István Rácz},
journal= {arXiv preprint arXiv:1811.06873},
year = {2018}
}
Comments
10 pages, 1 figure; The published version contains several updates of former one. The introduction is extended, and new sections with an explicit example and with concluding remarks had also been added