Black resonators and geons in AdS$_5$

TL;DR

This paper constructs and analyzes new black hole solutions called black resonators and geons in AdS$_5$, revealing their phase structure, stability properties, and relation to superradiant instabilities of known black holes.

Contribution

It introduces a cohomogeneity-1 metric for black resonators and geons, and maps their phase diagram, showing their connection to superradiant instability and entropy comparison with Myers-Perry-AdS$_5$.

Findings

Black resonators emerge from superradiant instability of Myers-Perry-AdS$_5$.

Black resonators have higher entropy than equivalent Myers-Perry-AdS$_5$ black holes.

Black resonators always have angular velocity $\,\Omega>1$.

Abstract

We construct dynamical black hole solutions with a helical symmetry in AdS$_5$, called black resonators, as well as their horizonless limits, called geons. We introduce a cohomogeneity-1 metric describing a class of black resonators and geons whose isometry group is $R\times SU(2)$. This allows us to study them in a wide range of parameters. We obtain the phase diagram for the black resonators, geons, and Myers-Perry-AdS$_5$, where the black resonators emerge from the onset of a superradiant instability of the Myers-Perry-AdS$_5$ with equal angular momenta and are connected to the geons in the small horizon limit. The angular velocities of the black resonators always satisfy $\Omega>1$ in units of the AdS radius. A black resonator is shown to have higher entropy than a Myers-Perry-AdS$_5$ black hole with the same asymptotic charges. This implies that the Myers-Perry-AdS$_5$ can dynamically evolve into the black resonator under the exact $SU(2)$-symmetry although its endpoint will be further unstable to $SU(2)$-violating perturbations.