About: Extended Kerr-Schild spacetimes: general properties and some explicit examples

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study extended Kerr-Schild (xKS) spacetimes, i.e. extensions of the Kerr-Schild (KS) ansatz where, in addition to the null KS vector, a spacelike vector field appears in the metric. In contrast to the KS case, we obtain only a necessary condition under which the KS vector is geodetic. However, it is shown that this condition becomes sufficient if we appropriately restrict the geometry of the null KS and spacelike vector. It turns out that xKS spacetimes with a geodetic KS vector are of Weyl type I and the KS vector has the same optical properties in the full and background spacetimes. In the case of Kundt xKS spacetimes, the compatible Weyl types are further restricted and a few examples of such metrics are provided. The relation of pp-waves to the class of Kundt xKS spacetimes is briefly discussed. We study extended Kerr-Schild (xKS) spacetimes, i.e. extensions of the Kerr-Schild (KS) ansatz where, in addition to the null KS vector, a spacelike vector field appears in the metric. In contrast to the KS case, we obtain only a necessary condition under which the KS vector is geodetic. However, it is shown that this condition becomes sufficient if we appropriately restrict the geometry of the null KS and spacelike vector. It turns out that xKS spacetimes with a geodetic KS vector are of Weyl type I and the KS vector has the same optical properties in the full and background spacetimes. In the case of Kundt xKS spacetimes, the compatible Weyl types are further restricted and a few examples of such metrics are provided. The relation of pp-waves to the class of Kundt xKS spacetimes is briefly discussed. (en)
Title	Extended Kerr-Schild spacetimes: general properties and some explicit examples Extended Kerr-Schild spacetimes: general properties and some explicit examples (en)
skos:prefLabel	Extended Kerr-Schild spacetimes: general properties and some explicit examples Extended Kerr-Schild spacetimes: general properties and some explicit examples (en)
skos:notation	RIV/67985840:_____/14:00434069!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	18
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Málek, Tomáš
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	16177
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/14:00434069
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Kerr-Schild spacetimes; algebraic classification; higher dimensions (en)
http://linked.open.../riv/klicoveSlovo	higher dimensions Kerr-Schild spacetimes algebraic classification
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[50EE95238F1E]
http://linked.open...i/riv/nazevZdroje	Classical and Quantum Gravity
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	31
http://linked.open...iv/tvurceVysledku	Málek, Tomáš
http://linked.open...ain/vavai/riv/wos	000341484200014
issn	0264-9381
number of pages	33 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/0264-9381/31/18/185013

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