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Type II universal spacetimes

SYSNO ASEP	0452809
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Type II universal spacetimes
Author(s)	Hervik, S. (NO) Málek, Tomáš (MU-W)_{RID, SAI, ORCID} Pravda, Vojtěch (MU-W)_{RID, SAI, ORCID} Pravdová, Alena (MU-W)_{RID, ORCID, SAI}
Source Title	Classical and Quantum Gravity. - : Institute of Physics Publishing - ISSN 0264-9381 Roč. 32, č. 24 (2015), s. 245012
Number of pages	31 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	einstein spacetimes ; generalized gravities ; universal spacetimes
Subject RIV	BA - General Mathematics
R&D Projects	GA13-10042S GA ČR - Czech Science Foundation (CSF)
Institutional support	MU-W - RVO:67985840
UT WOS	000366360900014
EID SCOPUS	84948799233
DOI	10.1088/0264-9381/32/24/245012
Annotation	We study type II universal metrics of the Lorentzian signature. These metrics simultaneously solve vacuum field equations of all theories of gravitation with the Lagrangian being a polynomial curvature invariant constructed from the metric, the Riemann tensor and its covariant derivatives of an arbitrary order. We provide examples of type II universal metrics for all composite number dimensions. On the other hand, we have no examples for prime number dimensions and we prove the non-existence of type II universal spacetimes in five dimensions. We also present type II vacuum solutions of selected classes of gravitational theories, such as Lovelock, quadratic and L(Riemann) gravities.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2016

Number of the records: 1