Evolutionary equations and constraints: Maxwell equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA2202EQH" target="_blank" >RIV/61988987:17310/19:A2202EQH - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.5109087" target="_blank" >http://dx.doi.org/10.1063/1.5109087</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5109087" target="_blank" >10.1063/1.5109087</a>
Alternative languages
Result language
angličtina
Original language name
Evolutionary equations and constraints: Maxwell equations
Original language description
By fixing a reference frame in spacetime, it is possible to split the Euler-Lagrange equations associated with a degenerate Lagrangian into purely evolutionary equations and constraints on the allowed Cauchy data with respect to the notion of space and time associated with the given reference frame. In the context of classical electrodynamics, we introduce a 'covariantization procedure' that allows us to invert the perspective and to recover a full-fledged covariant formulation of Maxwell's equations starting only with constraint equations (i.e., Gauss law and the local version of the law of conservation of magnetic flux) as perceived in a sufficient number of (inertial) reference frames on Minkowski spacetime.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
J MATH PHYS
ISSN
0022-2488
e-ISSN
—
Volume of the periodical
60
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
113503
UT code for WoS article
000515150800001
EID of the result in the Scopus database
2-s2.0-85074966466