Type II universal spacetimes
General Relativity and Quantum Cosmology
2016-01-11 v3 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.1503.08448,
title = {Type II universal spacetimes},
author = {Sigbjørn Hervik and Tomáš Málek and Vojtěch Pravda and Alena Pravdová},
journal= {arXiv preprint arXiv:1503.08448},
year = {2016}
}
Comments
24 pages, matches published version in CQG