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Lovelock vacua with a recurrent null vector field

  1. 1.
    0487399 - MÚ 2018 RIV US eng J - Článek v odborném periodiku
    Ortaggio, Marcello
    Lovelock vacua with a recurrent null vector field.
    Physical Review D. Roč. 97, č. 4 (2018), č. článku 044051. ISSN 2470-0010. E-ISSN 2470-0029
    Grant CEP: GA ČR GA13-10042S
    Institucionální podpora: RVO:67985840
    Klíčová slova: Lovelock gravity * recurrent null vector field
    Obor OECD: Applied mathematics
    Impakt faktor: 4.368, rok: 2018
    https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.044051

    Vacuum solutions of Lovelock gravity in the presence of a recurrent null vector field (a subset of Kundt spacetimes) are studied. We first discuss the general field equations, which constrain both the base space and the profile functions. While choosing a generic base space puts stronger constraints on the profile, in special cases there also exist solutions containing arbitrary functions (at least for certain values of the coupling constants). These and other properties (such as the pp- waves subclass and the overlap with VSI, CSI and universal spacetimes) are subsequently analyzed in more detail in lower dimensions n=5, 6 as well as for particular choices of the base manifold. The obtained solutions describe various classes of nonexpanding gravitational waves propagating, e.g., in Nariai-like backgrounds ... An Appendix contains some results about general (i.e., not necessarily Kundt) Lovelock vacua of Riemann type III/N and of Weyl and traceless-Ricci type III/N.
    Trvalý link: http://hdl.handle.net/11104/0282064

     
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