Black hole solutions in Einstein-charged scalar field theory

TL;DR

This paper explores the end states of superradiant instability in charged black holes with a mirror, presenting new hairy black hole solutions and analyzing their stability within Einstein-charged scalar field theory.

Contribution

It introduces fully coupled gravity-scalar field solutions and examines their linear stability, advancing understanding of black hole end-states in this context.

Findings

Hairy black hole solutions found in the coupled system

Linear stability analysis conducted for these solutions

Insights into superradiant instability endpoints

Abstract

We investigate possible end-points of the superradiant instability for a charged black hole with a reflecting mirror. By considering a fully coupled system of gravity and a charged scalar field, hairy black hole solutions are obtained. The linear stability of these black hole solutions is studied.