Einstein-charged scalar field theory: black hole solutions and their stability

TL;DR

This paper explores the existence and stability of charged scalar field black hole solutions with scalar hair, analyzing their potential as final states of superradiant instability in a cavity.

Contribution

It introduces new hairy black hole solutions in Einstein-charged scalar field theory and examines their stability, extending understanding of superradiant phenomena.

Findings

Hairy black hole solutions are found in the Einstein-charged scalar field system.

These solutions can be stable or unstable under perturbations.

The study identifies conditions under which these black holes are stable.

Abstract

A complex scalar field on a charged black hole in a cavity is known to experience a superradiant instability. We investigate possible final states of this instability. We find hairy black hole solutions of a fully coupled system of Einstein gravity and a charged scalar field. The black holes are surrounded by a reflecting mirror. We also investigate the stability of these black holes.