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

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 $M=\frac{3}{2}{\pi }^{\frac{1}{3}}{J}^{\frac{2}{3}}+\pi \alpha$. 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.

Latex, 32 pages, typos corrected, discussion expanded, version in JHEP

References in corpus (12)

• Causality, Analyticity and an IR Obstruction to UV Completion
• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• General Kerr-NUT-AdS Metrics in All Dimensions
• Positivity of Curvature-Squared Corrections in Gravity
• Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
• Slowly rotating black holes in Einsteinian cubic gravity
• Negative modes and the thermodynamics of Reissner-Nordström black holes
• New Black Holes in Five Dimensions
• Higher derivative corrections to R-charged AdS_5 black holes and field redefinitions
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Stability of rotating black holes in Einstein dilaton Gauss-Bonnet gravity
• Simply rotating higher dimensional black holes in Einstein-Gauss-Bonnet theory

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• Leading Higher Derivative Corrections to Multipole Moments of Kerr-Newman Black Hole
• Quantum Corrections to Pair Production of Charged Black Holes in de Sitter Space
• Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes
• A Note on Kerr/CFT and Wald Entropy Discrepancy in High Derivative Gravities
• Rotating black holes at large $D$ in Einstein-Gauss-Bonnet theory
• Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes
• Universality on thermodynamic relation with corrections in Einstein-Bel-Robinson gravity Black hole
• ${\alpha }^{\prime }$-corrections to Near Extremal Dyonic Strings and Weak Gravity Conjecture