Type II universal spacetimes

0452809 - MÚ 2016 RIV GB eng J - Journal Article
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
R&D Projects: GA ČR GA13-10042S
Institutional support: RVO:67985840
Keywords : einstein spacetimes * generalized gravities * universal spacetimes
Subject RIV: BA - General Mathematics
Impact factor: 2.837, year: 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.
Permanent Link: http://hdl.handle.net/11104/0253715