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Type II universal spacetimes
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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, SAISource Title Classical and Quantum Gravity. - : Institute of Physics Publishing - ISSN 0264-9381
Roč. 32, č. 24 (2015), s. 245012Number 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
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