Scalar Hair Around Charged Black Holes in Einstein-Gauss-Bonnet Gravity

TL;DR

This paper investigates charged black holes with scalar hair in five-dimensional Einstein-Gauss-Bonnet gravity, linking superradiant instability, quasibound states, scalar clouds, and boson stars.

Contribution

It introduces new charged black hole solutions with scalar hair in Einstein-Gauss-Bonnet gravity and relates them to superradiant instability and other scalar configurations.

Findings

Hairy black holes are the end state of superradiant instability.

Connections established between hairy black holes, quasibound states, and boson stars.

Provides new insights into scalar field configurations around charged black holes.

Abstract

We explore charged black hole solutions in Einstein-Gauss-Bonnet gravity in five dimensions, with a charged scalar hair. We interpret such hairy black holes as the final state of the superradiant instability previously reported for this system. We explore the relation of the hairy black hole solutions with the non-backreacting quasibound states and scalar clouds, as well as with the boson star solutions.