About: Types III and N solutions to quadratic gravity

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study exact vacuum solutions to quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N with an appropriately chosen effective cosmological constant Lambda are exact solutions to QG and we refer to explicitly known metrics within this class. For type III Einstein spacetimes, an additional constraint follows from the field equations of QG and examples of spacetimes obeying such constraint are given. However, type III pp waves do not satisfy this constraint and thus do not solve QG. For type N, we also study a wider class of spacetimes admitting a pure radiation term in the Ricci tensor. In contrast to the Einstein case, the field equations of generic QG determine optical properties of the geometry and restrict such exact solutions to the Kundt class. We provide examples of these metrics. We study exact vacuum solutions to quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N with an appropriately chosen effective cosmological constant Lambda are exact solutions to QG and we refer to explicitly known metrics within this class. For type III Einstein spacetimes, an additional constraint follows from the field equations of QG and examples of spacetimes obeying such constraint are given. However, type III pp waves do not satisfy this constraint and thus do not solve QG. For type N, we also study a wider class of spacetimes admitting a pure radiation term in the Ricci tensor. In contrast to the Einstein case, the field equations of generic QG determine optical properties of the geometry and restrict such exact solutions to the Kundt class. We provide examples of these metrics. (en)
Title	Types III and N solutions to quadratic gravity Types III and N solutions to quadratic gravity (en)
skos:prefLabel	Types III and N solutions to quadratic gravity Types III and N solutions to quadratic gravity (en)
skos:notation	RIV/67985840:_____/11:00362717!RIV12-AV0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP203/10/0749), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Pravda, Vojtěch
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	236389
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00362717
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	constant scalar invariants; higher dimensions; spacetimes; identities; supergravity (en)
http://linked.open.../riv/klicoveSlovo	constant scalar invariants higher dimensions spacetimes supergravity identities
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[45C1B1B932BC]
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	2 (xsd:int)
http://linked.open...vavai/riv/projekt	General relativity in higher dimensions
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	84
http://linked.open...iv/tvurceVysledku	Málek, T. Pravda, Vojtěch
http://linked.open...ain/vavai/riv/wos	000293331900004
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	1550-7998
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevD.84.024047
is http://linked.open...avai/riv/vysledek of	Types III and N solutions to quadratic gravity Types III and N solutions to quadratic gravity

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