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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F11%3A00362717%21RIV12-AV0-67985840
rdf:type
skos:Concept n16:Vysledek
dcterms: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.
dcterms:title
Types III and N solutions to quadratic gravity Types III and N solutions to quadratic gravity
skos:prefLabel
Types III and N solutions to quadratic gravity Types III and N solutions to quadratic gravity
skos:notation
RIV/67985840:_____/11:00362717!RIV12-AV0-67985840
n16:predkladatel
n20:ico%3A67985840
n3:aktivita
n17:Z n17:P
n3:aktivity
P(GAP203/10/0749), Z(AV0Z10190503)
n3:cisloPeriodika
2
n3:dodaniDat
n7:2012
n3:domaciTvurceVysledku
n18:8249040
n3:druhVysledku
n4:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n6:predkladatel
n3:idSjednocenehoVysledku
236389
n3:idVysledku
RIV/67985840:_____/11:00362717
n3:jazykVysledku
n9:eng
n3:klicovaSlova
constant scalar invariants; higher dimensions; spacetimes; identities; supergravity
n3:klicoveSlovo
n5:supergravity n5:spacetimes n5:identities n5:constant%20scalar%20invariants n5:higher%20dimensions
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[45C1B1B932BC]
n3:nazevZdroje
Physical Review D: Particles, Fields, Gravitation and Cosmology
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n10:GAP203%2F10%2F0749
n3:rokUplatneniVysledku
n7:2011
n3:svazekPeriodika
84
n3:tvurceVysledku
Málek, T. Pravda, Vojtěch
n3:wos
000293331900004
n3:zamer
n19:AV0Z10190503
s:issn
1550-7998
s:numberOfPages
6
n11:doi
10.1103/PhysRevD.84.024047