Rotating solutions in critical Lovelock gravities Academic Article uri icon


  • 2016 The Author(s) 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 KerrSchild form, but they can then be recast in terms of BoyerLindquist coordinates. The other class involves metrics with only a single non-vanishing angular momentum. Again we construct them in a KerrSchild form, but in this case it does not seem to be possible to recast them in BoyerLindquist form. Both classes of solutions have naked curvature singularities, arising because of the over rotation of the configurations.

published proceedings


altmetric score

  • 0.75

author list (cited authors)

  • Cvetic, M., Feng, X., Lu, H., & Pope, C. N.

citation count

  • 8

publication date

  • February 2017