Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory

TL;DR

This paper constructs and analyzes rotating five-dimensional black holes in Einstein-Gauss-Bonnet theory, exploring their properties, dependence on the coupling constant, and extremal limits using quasilocal formalism and entropy function methods.

Contribution

It provides the first detailed construction and analysis of rotating black holes with equal angular momenta in five-dimensional Einstein-Gauss-Bonnet gravity, including their global charges and extremal limits.

Findings

Black holes are asymptotically flat with spherical horizons.

Most properties are unaffected by higher derivative terms.

Solutions terminate at extremal black holes with zero Hawking temperature.

Abstract

We construct rotating black hole solutions in Einstein-Gauss-Bonnet theory in five spacetime dimensions. These black holes are asymptotically flat, and possess a regular horizon of spherical topology and two equal-magnitude angular momenta associated with two distinct planes of rotation. The action and global charges of the solutions are obtained by using the quasilocal formalism with boundary counterterms generalized for the case of Einstein-Gauss-Bonnet theory. We discuss the general properties of these black holes and study their dependence on the Gauss-Bonnet coupling constant $\alpha$. We argue that most of the properties of the configurations are not affected by the higher derivative terms. For fixed $\alpha$ the set of black hole solutions terminates at an extremal black hole with a regular horizon, where the Hawking temperature vanishes and the angular momenta attain their extremal values. The domain of existence of regular black hole solutions is studied. The near horizon geometry of the extremal solutions is determined by employing the entropy function formalism.