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arXiv · 2009.00015

$D=5$ Rotating Black Holes in Einstein-Gauss-Bonnet Gravity: Mass and Angular Momentum in Extremality

Liang Ma·Yue-Zhou Li·H. Lu
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Abstract

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 $\alpha$. We obtain the near horizon structure of the near extremal solution, with the blackening factor of the order $\alpha$. In the extremal limit, the mass-angular momentum relation reduces to $M=\frac32 \pi^{\frac13} J^{\frac23} + \pi \alpha$. The positive sign of the $\alpha$-correction implies that the centrifugal repulsion associated with rotations becomes weaker than the gravitational attraction under the unitary requirement for the Gauss-Bonnet term.

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Liang Ma, Yue-Zhou Li, H. Lu. 2020-08-31. $D=5$ Rotating Black Holes in Einstein-Gauss-Bonnet Gravity: Mass and Angular Momentum in Extremality. https://doi.org/10.1007/jhep01(2021)201

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