Abstract
Rapidly rotating Myers-Perry-AdS black holes are unstable against rotational superradiance. From the onset of the instability, cohomogeneity-1 black resonators are constructed in five-dimensional asymptotically AdS space. By using the cohomogeneity-1 metric, perturbations of the cohomogeneity-1 black resonators are also studied.
Highlights
In asymptotically AdS space, rotational gravitational superradiance leads to superradiant instability to rotating AdS black holes [1,2]
Black resonators and geons were first constructed in four dimensions [3], where the helical Killing vector is the only continuous symmetry
Cohomogeneity-1 black resonators and geons are obtained in Einstein gravity in asymptotically global AdS space in five dimensions [4]
Summary
In asymptotically AdS space, rotational gravitational superradiance leads to superradiant instability to rotating AdS black holes [1,2]. From the onset of the instability, solutions called black resonators branches off [3]. They are connected to geons in the limit of the zero horizon size. These solutions are characterized by having a helical Killing vector, where the time and rotation translations of the rotating black hole are broken to a helical one. Black resonators and geons were first constructed in four dimensions [3], where the helical Killing vector is the only continuous symmetry. By going to five dimensions and exploiting the extra symmetries in the case of equal angular momenta, black resonators and geons with cohomogeneity-1 metric have been constructed [4]. A similar five-dimensional cohomogeneity-1 resonating AdS soliton geometry was found [7]
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