Black Holes with Scalar Hairs in Einstein-Gauss-Bonnet Gravity

TL;DR

This paper explores five-dimensional Einstein-Gauss-Bonnet gravity extended with scalar fields, revealing a broad family of spinning black holes with scalar hairs, including extremal and boson star limits.

Contribution

It introduces new regular solutions of hairy spinning black holes in extended Einstein-Gauss-Bonnet gravity with scalar fields, expanding the understanding of such configurations.

Findings

Existence of a large family of regular, hairy black hole solutions.

Solutions include extremal black holes and boson star limits.

Solutions are characterized by horizon properties and angular velocity.

Abstract

The Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown to exist. Generically, these solutions are spinning black holes with scalar hairs. They can be characterized (but not uniquely) by an horizon and an angular velocity on this horizon. Taking particular limits the black holes approach boson star or become extremal, in any case the limiting configurations remain hairy.