Type II universal spacetimes

0452809 - MÚ 2016 RIV GB eng J - Článek v odborném periodiku
Hervik, S. - Málek, Tomáš - Pravda, Vojtěch - Pravdová, Alena
Type II universal spacetimes.
Classical and Quantum Gravity. Roč. 32, č. 24 (2015), s. 245012. ISSN 0264-9381. E-ISSN 1361-6382
Grant CEP: GA ČR GA13-10042S
Institucionální podpora: RVO:67985840
Klíčová slova: einstein spacetimes * generalized gravities * universal spacetimes
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.837, rok: 2015
http://iopscience.iop.org/article/10.1088/0264-9381/32/24/245012

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.
Trvalý link: http://hdl.handle.net/11104/0253715