On type II universal spacetimes

0483688 - MÚ 2018 RIV SG eng C - Conference Paper (international conference)
Hervik, S. - Málek, Tomáš - Pravda, Vojtěch - Pravdová, Alena
On type II universal spacetimes.
The Fourteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories. Singapore: World Scientific, 2017 - (Bianchi, M.; Jantzen, R.; Ruffini, R.), s. 2542-2547. ISBN 978-981-3226-59-3.
[Proceedings of the MG14 Meeting on General Relativity. Rome (IT), 12.07.2015-18.07.2015]
R&D Projects: GA ČR GA13-10042S
Institutional support: RVO:67985840
Keywords : generalized theories of gravity * universal spacetimes
OECD category: Applied mathematics
http://www.worldscientific.com/doi/abs/10.1142/9789813226609_0303

We briefly summarize our recent results on type II universal metrics of the Lorentzian signature. These metrics simultaneously solve all vacuum field equations of theories of gravity with the Lagrangian being a polynomial curvature invariant constructed from the metric, the Riemann tensor and its covariant derivatives of arbitrary order. It turns out that the results critically depend on the dimensionality of the spacetime. While we discuss examples of type II universal metrics for all composite number dimensions, we have no examples for prime number dimensions. Furthermore, we have proven the non-existence of type II universal spacetimes in five dimensions.
Permanent Link: http://hdl.handle.net/11104/0278901