On the Evolutionary Form of the Constraints in Electrodynamics
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 alwa...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-12-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/11/1/10 |
| _version_ | 1818014638624735232 |
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| author | István Rácz |
| author_facet | István Rácz |
| author_sort | István Rácz |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T06:46:45Z |
| format | Article |
| id | doaj.art-91f7f659bd9f4fdf84515bcb2b0e64fe |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T06:46:45Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-91f7f659bd9f4fdf84515bcb2b0e64fe2022-12-22T02:07:08ZengMDPI AGSymmetry2073-89942018-12-011111010.3390/sym11010010sym11010010On the Evolutionary Form of the Constraints in ElectrodynamicsIstván Rácz0Faculty of Physics, University of Warsaw, Ludwika Pasteura 5, 02-093 Warsaw, PolandThe 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.http://www.mdpi.com/2073-8994/11/1/10Maxwell theoryconstraint equationsevolutionary equations |
| spellingShingle | István Rácz On the Evolutionary Form of the Constraints in Electrodynamics Symmetry Maxwell theory constraint equations evolutionary equations |
| title | On the Evolutionary Form of the Constraints in Electrodynamics |
| title_full | On the Evolutionary Form of the Constraints in Electrodynamics |
| title_fullStr | On the Evolutionary Form of the Constraints in Electrodynamics |
| title_full_unstemmed | On the Evolutionary Form of the Constraints in Electrodynamics |
| title_short | On the Evolutionary Form of the Constraints in Electrodynamics |
| title_sort | on the evolutionary form of the constraints in electrodynamics |
| topic | Maxwell theory constraint equations evolutionary equations |
| url | http://www.mdpi.com/2073-8994/11/1/10 |
| work_keys_str_mv | AT istvanracz ontheevolutionaryformoftheconstraintsinelectrodynamics |