Electromagnetic fields with vanishing scalar invariants

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00459163" target="_blank" >RIV/67985840:_____/16:00459163 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0264-9381/33/11/115010" target="_blank" >http://dx.doi.org/10.1088/0264-9381/33/11/115010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0264-9381/33/11/115010" target="_blank" >10.1088/0264-9381/33/11/115010</a>

Result language
angličtina
Original language name
Electromagnetic fields with vanishing scalar invariants
Original language description
We determine the class of p-forms F which possess vanishing scalar invariants (VSI) at arbitrary order in a n-dimensional spacetime. Namely, we prove that F is VSI if and only if it is of type N, its multiple null direction l is ''degenerate Kundt'', and {$pounds_{l}F=0$}. The result is theory-independent. Next, we discuss the special case of Maxwell fields, both at the level of test fields and of the full Einstein-Maxwell equations. These describe electromagnetic non-expanding waves propagating in various Kundt spacetimes. We further point out that a subset of these solutions possesses a universal property, i.e., they also solve (virtually) any generalized (non-linear and with higher derivatives) electrodynamics, possibly also coupled to Einstein's gravity.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-10042S" target="_blank" >GA13-10042S: Higher dimensional gravity</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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