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arXiv · 1609.09136

Rotating Solutions in Critical Lovelock Gravities

M. Cvetic·Xing-Hui Feng·H. Lu·C. N. Pope
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Abstract

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 admits 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.

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M. Cvetic, Xing-Hui Feng, H. Lu, C. N. Pope. 2016-09-28. Rotating Solutions in Critical Lovelock Gravities. https://doi.org/10.1016/j.physletb.2016.12.018

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