Types III and N solutions to quadratic gravity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00362717" target="_blank" >RIV/67985840:_____/11:00362717 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.84.024047" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.84.024047</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.84.024047" target="_blank" >10.1103/PhysRevD.84.024047</a>
Alternative languages
Result language
angličtina
Original language name
Types III and N solutions to quadratic gravity
Original language 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP203%2F10%2F0749" target="_blank" >GAP203/10/0749: General relativity in higher dimensions</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
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Volume of the periodical
84
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
024047
UT code for WoS article
000293331900004
EID of the result in the Scopus database
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