J. High Energ. Phys. 01, 201 (2021) arXiv link
D = 5 rotating black holes in Einstein-Gauss-Bonnet gravity: mass and angular momentum in extremality
Liang Ma1, Yue-Zhou Li1,2 & H. Lü1
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yuguan Road, Tianjin, 300350, China
2 Department of Physics, McGill University, 3600 Rue University, Montréal, QC, Canada
We consider perturbative solutions in Einstein gravity with higher-derivative extensions and address some subtle issues of taking extremal limit. As a concrete new result, we construct the perturbative rotating black hole in five dimensions with equal angular momenta J and general mass M in Einstein-Gauss-Bonnet gravity, up to and including the linear order of the standard Gauss-Bonnet coupling constant α. We obtain the near horizon structure of the near extremal solution, with the blackening factor of the order α. In the extremal limit, the mass-angular momentum relation reduces to M=3/2 π1/3 J2/3 + πα. The positive sign of the α-correction implies that the centrifugal repulsion associated with rotations becomes weaker than the gravitational attraction under the unitary requirement for the Gauss-Bonnet term.