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  • We explore connections between geometrical properties of null congruences and the algebraic structure of the Weyl tensor in n > 4 spacetime dimensions. First, we present the full set of Ricci identities on a suitable %22null%22 frame, thus completing the extension of the Newman-Penrose formalism to higher dimensions. Then we specialize to geodetic null congruences and study specific consequences of the Sachs equations. These imply, for example, that Kundt spacetimes are type II or more special (like for n = 4) and that for odd n a twisting geodetic WAND must also be shearing (in contrast to the case n = 4).
  • We explore connections between geometrical properties of null congruences and the algebraic structure of the Weyl tensor in n > 4 spacetime dimensions. First, we present the full set of Ricci identities on a suitable %22null%22 frame, thus completing the extension of the Newman-Penrose formalism to higher dimensions. Then we specialize to geodetic null congruences and study specific consequences of the Sachs equations. These imply, for example, that Kundt spacetimes are type II or more special (like for n = 4) and that for odd n a twisting geodetic WAND must also be shearing (in contrast to the case n = 4). (en)
  • V prostoročasech o dimenzi n>4 zkoumáme souvislosti mezi geometrickými vlastnostmi nulových kongruencí a algebraickou strukturou Weylova tenzoru. Nejprve ve vhodné bázi uvádíme úplnou soustavu Ricciho identit a završujeme tak zobecnění Newmanova-Penroesova formalismu do vyšších dimenzí. Poté se specializujeme na nulové geodetické kongruence a studujeme důsledky Sachsových rovnic. Tyto rovnice například implikují, že Kundtovy prostoročasy jsou typu II a že v lichých dimenzích mají na rozdíl od případu n=4 twistující WANDy nenulový shear. (cs)
Title
  • Ricci identities in higher dimensions
  • Ricci identities in higher dimensions (en)
  • Ricciho identity ve vyšších dimenzích (cs)
skos:prefLabel
  • Ricci identities in higher dimensions
  • Ricci identities in higher dimensions (en)
  • Ricciho identity ve vyšších dimenzích (cs)
skos:notation
  • RIV/67985840:_____/07:00080186!RIV07-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 1657;1664
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(KJB100190702), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 447819
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/07:00080186
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • higher dimensional gravixy (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [84ADC8D34E8A]
http://linked.open...i/riv/nazevZdroje
  • Classical and Quantum Gravity
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 24
http://linked.open...iv/tvurceVysledku
  • Pravda, Vojtěch
  • Pravdová, Alena
  • Ortaggio, M.
http://linked.open...n/vavai/riv/zamer
issn
  • 0264-9381
number of pages
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