Hairy black holes and the endpoint of AdS$_4$ charged superradiance

Understand

We construct hairy black hole solutions that merge with the anti-de Sitter (AdS$_4$) Reissner-Nordstr\"om black hole at the onset of superradiance.

• These hairy black holes have, for a given mass and charge, higher entropy than the corresponding AdS$_4$-Reissner-Nordstr\"om black hole.
• Therefore, they are natural candidates for the endpoint of the charged superradiant instability.
• On the other hand, hairy black holes never dominate the canonical and grand-canonical ensembles.