About: Asymptotic behaviour of Maxwell fields in higher dimensions

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Description	We study the fall-off behaviour of test electromagnetic fields in higher dimensions as one approaches infinity along a congruence of ''expanding'' null geodesics. The considered backgrounds are Einstein spacetimes including, in particular, (asymptotically) flat and (anti-)deSitter spacetimes. Various possible boundary conditions result in different characteristic fall-offs, in which the leading component can be of any algebraic type (N, II or G). In particular, the peeling-off of radiative fields $F=Nr^{1-n/2}+Gr^{-n/2}+ldots$ differs from the standard four-dimensional one (instead it qualitatively resembles the recently determined behaviour of the Weyl tensor in higher dimensions). General $p$-form fields are also briefly discussed. In even $n$ dimensions, the special case $p=n/2$ displays unique properties and peels off in the ''standard way'' as $F=Nr...{1-n/2}+IIr...{-n/2}+ldots$. A few explicit examples are mentioned. We study the fall-off behaviour of test electromagnetic fields in higher dimensions as one approaches infinity along a congruence of ''expanding'' null geodesics. The considered backgrounds are Einstein spacetimes including, in particular, (asymptotically) flat and (anti-)deSitter spacetimes. Various possible boundary conditions result in different characteristic fall-offs, in which the leading component can be of any algebraic type (N, II or G). In particular, the peeling-off of radiative fields $F=Nr^{1-n/2}+Gr^{-n/2}+ldots$ differs from the standard four-dimensional one (instead it qualitatively resembles the recently determined behaviour of the Weyl tensor in higher dimensions). General $p$-form fields are also briefly discussed. In even $n$ dimensions, the special case $p=n/2$ displays unique properties and peels off in the ''standard way'' as $F=Nr...{1-n/2}+IIr...{-n/2}+ldots$. A few explicit examples are mentioned. (en)
Title	Asymptotic behaviour of Maxwell fields in higher dimensions Asymptotic behaviour of Maxwell fields in higher dimensions (en)
skos:prefLabel	Asymptotic behaviour of Maxwell fields in higher dimensions Asymptotic behaviour of Maxwell fields in higher dimensions (en)
skos:notation	RIV/67985840:_____/14:00437500!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GB14-37086G)
http://linked.open...iv/cisloPeriodika	12
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Ortaggio, Marcel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	4394
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/14:00437500
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	higher-dimensional gravity; asymptotic structure; classical general relativity (en)
http://linked.open.../riv/klicoveSlovo	classical general relativity higher-dimensional gravity asymptotic structure
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[678A13C58708]
http://linked.open...i/riv/nazevZdroje	Physical Review D: Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Centrum Alberta Einsteina pro gravitaci a astrofyziku
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	90
http://linked.open...iv/tvurceVysledku	Ortaggio, Marcello
http://linked.open...ain/vavai/riv/wos	000346830000006
issn	1550-7998
number of pages	15 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevD.90.124020

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