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Type II universal spacetimes

  1. 1. 0452809 - MU-W 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
    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
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