Rotating solutions in critical Lovelock gravities

Autor: Cvetič, Mirjam, Feng, Xing-Hui, Lü, Hong, Pope, Christopher N.
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Physics letters, no. 765, pp. 181-187, 2017.
ISSN: 1873-2445
Popis: For appropriate choices of the coupling constants, the equations of motion of Lovelock gravities up to order n in the Riemann tensor can be factorized such that the theories admit a single (A)dS vacuum. In this paper we construct two classes of exact rotating metrics in such critical Lovelock gravities of order n in d = 2n +1 dimensions. In one class, the n angular momenta in the n orthogonal spatial 2-planes are equal, and hence the metric is of cohomogeneity one. We construct these metrics in a Kerr-Schild form, but they can then be recast in terms of Boyer-Lindquist coordinates. The other class involves metrics with only a single non-vanishing angular momentum. Again we construct them in a Kerr-Schild form, but in this case it does not seem to be possible to recast them in Boyer-Lindquist form. Both classes of solutions have naked curvature singularities, arising because of the over rotation of the configurations.
Databáze: OpenAIRE