Black resonators and geons in AdS5

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 x 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.