About: Absence of gyratons in the Robinson-Trautman class

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1103/PhysRevD.89.124029
Description	We present the Riemann and Ricci tensors for a fully general nontwisting and shear-free geometry in arbitrary dimension D. This includes both the nonexpanding Kundt and expanding Robinson-Trautman family of spacetimes. As an interesting application of these explicit expressions, we then integrate the Einstein equations and prove a surprising fact that in any D the Robinson-Trautman class does not admit solutions representing gyratonic sources, i.e., a matter field in the form of a null fluid (or particles propagating with the speed of light) with an additional internal spin. Contrary to the closely related Kundt class and pp-waves, the corresponding off-diagonal metric components thus do not encode the angular momentum of some gyraton. Instead, we demonstrate that in standard D = 4 general relativity they directly determine two independent amplitudes of the Robinson-Trautman exact gravitational waves. We present the Riemann and Ricci tensors for a fully general nontwisting and shear-free geometry in arbitrary dimension D. This includes both the nonexpanding Kundt and expanding Robinson-Trautman family of spacetimes. As an interesting application of these explicit expressions, we then integrate the Einstein equations and prove a surprising fact that in any D the Robinson-Trautman class does not admit solutions representing gyratonic sources, i.e., a matter field in the form of a null fluid (or particles propagating with the speed of light) with an additional internal spin. Contrary to the closely related Kundt class and pp-waves, the corresponding off-diagonal metric components thus do not encode the angular momentum of some gyraton. Instead, we demonstrate that in standard D = 4 general relativity they directly determine two independent amplitudes of the Robinson-Trautman exact gravitational waves. (en)
Title	Absence of gyratons in the Robinson-Trautman class Absence of gyratons in the Robinson-Trautman class (en)
skos:prefLabel	Absence of gyratons in the Robinson-Trautman class Absence of gyratons in the Robinson-Trautman class (en)
skos:notation	RIV/00216208:11320/14:10290529!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(7AMB13AT003), P(GAP203/12/0118)
http://linked.open...iv/cisloPeriodika	12
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Švarc, Robert Podolský, Jiří
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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	1347
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/14:10290529
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	higher dimensions; vacuum spacetimes; cosmological constant; spherical gravitational waves (en)
http://linked.open.../riv/klicoveSlovo	higher dimensions vacuum spacetimes cosmological constant spherical gravitational waves
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[E0F7FB1017AE]
http://linked.open...i/riv/nazevZdroje	Physical Review D - Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Mathematical aspects of impulsive gravitational waves Spacetimes and Fields in Higher Dimensional and Classical Gravity
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	89
http://linked.open...iv/tvurceVysledku	Podolský, Jiří Švarc, Robert
http://linked.open...ain/vavai/riv/wos	000338664000010
issn	1550-7998
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevD.89.124029
http://localhost/t...ganizacniJednotka	11320

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