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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F11%3A00064682%21RIV13-MSM-14310___
rdf:type
skos:Concept n14:Vysledek
rdfs:seeAlso
http://iopscience.iop.org/0264-9381/28/14/145010/
dcterms:description
Optical (or Robinson) structures are one generalization of four-dimensional shearfree congruences of null geodesics to higher dimensions. They are Lorentzian analogues of complex and CR structures. In this context, we extend the Goldberg–Sachs theorem to five dimensions. To be precise, we find a new algebraic condition on the Weyl tensor, which generalizes the Petrov type II condition, in the sense that it ensures the existence of such congruences on a five-dimensional spacetime, vacuum or under weaker assumptions on the Ricci tensor. This results in a significant simplification of the field equations. We discuss possible degenerate cases, including a five-dimensional generalization of the Petrov type D condition. We also show that the vacuum black ring solution is endowed with optical structures, yet fails to be algebraically special with respect to them. We finally explain the generalization of these ideas to higher dimensions, which has been checked in six and seven dimensions. Optical (or Robinson) structures are one generalization of four-dimensional shearfree congruences of null geodesics to higher dimensions. They are Lorentzian analogues of complex and CR structures. In this context, we extend the Goldberg–Sachs theorem to five dimensions. To be precise, we find a new algebraic condition on the Weyl tensor, which generalizes the Petrov type II condition, in the sense that it ensures the existence of such congruences on a five-dimensional spacetime, vacuum or under weaker assumptions on the Ricci tensor. This results in a significant simplification of the field equations. We discuss possible degenerate cases, including a five-dimensional generalization of the Petrov type D condition. We also show that the vacuum black ring solution is endowed with optical structures, yet fails to be algebraically special with respect to them. We finally explain the generalization of these ideas to higher dimensions, which has been checked in six and seven dimensions.
dcterms:title
Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
skos:prefLabel
Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions Optical structures, algebraically special spacetimes, and the Goldberg-Sachs theorem in five dimensions
skos:notation
RIV/00216224:14310/11:00064682!RIV13-MSM-14310___
n14:predkladatel
n18:orjk%3A14310
n4:aktivita
n19:P
n4:aktivity
P(LC505)
n4:cisloPeriodika
14
n4:dodaniDat
n20:2013
n4:domaciTvurceVysledku
Taghavi-Chabert, Arman
n4:druhVysledku
n15:J
n4:duvernostUdaju
n8:S
n4:entitaPredkladatele
n16:predkladatel
n4:idSjednocenehoVysledku
218555
n4:idVysledku
RIV/00216224:14310/11:00064682
n4:jazykVysledku
n13:eng
n4:klicovaSlova
Robinson manifolds; algebraically special higher-dimensional spacetimes
n4:klicoveSlovo
n5:algebraically%20special%20higher-dimensional%20spacetimes n5:Robinson%20manifolds
n4:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n4:kontrolniKodProRIV
[D295FDE72EAA]
n4:nazevZdroje
Classical and Quantum Gravity
n4:obor
n17:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n12:LC505
n4:rokUplatneniVysledku
n20:2011
n4:svazekPeriodika
28
n4:tvurceVysledku
Taghavi-Chabert, Arman
n4:wos
000291789300010
s:issn
0264-9381
s:numberOfPages
32
n6:doi
10.1088/0264-9381/28/14/145010
n10:organizacniJednotka
14310