Universal spacetimes in four dimensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00478962" target="_blank" >RIV/67985840:_____/17:00478962 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/JHEP10(2017)028" target="_blank" >http://dx.doi.org/10.1007/JHEP10(2017)028</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP10(2017)028" target="_blank" >10.1007/JHEP10(2017)028</a>

Result language
angličtina
Original language name
Universal spacetimes in four dimensions
Original language description
Universal spacetimes are exact solutions to all higher-order theories of gravity. We study these spacetimes in four dimensions and provide necessary and sufficient conditions for universality for all Petrov types except of type II. We show that all universal spacetimes in four dimensions are algebraically special and Kundt. Petrov type D universal spacetimes are necessarily direct products of two 2-spaces of constant and equal curvature. Furthermore, type II universal spacetimes necessarily possess a null recurrent direction and they admit the above type D direct product metrics as a limit. Such spacetimes represent gravitational waves propagating on these backgrounds. Type III universal spacetimes are also investigated. We determine necessary and sufficient conditions for universality and present an explicit example of a type III universal Kundt non-recurrent metric.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA13-10042S" target="_blank" >GA13-10042S: Higher dimensional gravity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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