1307.6166 (Naresh Dadhich et al.)

Kerr-Like rotating black hole in pure Lovelock gravity    [PDF]

Naresh Dadhich, Sushant G. Ghosh

By employing the Newman-Janis transformation to static pure Lovelock black hole solution, we obtain pure Lovelock rotating black hole metric in $d=2n+2$ dimension, where $n$ is Lovelock polynomial order. It is however not an exact solution of Lovelock vacuum equation but it is indeed Lovelock Ricci flat upto the leading order $O(r^{-(2n+1)})$ as Lovelock curvature falls off as $r^{-(2n+3)}$.

View original: http://arxiv.org/abs/1307.6166