Abstract
We numerically construct asymptotically anti-de Sitter (AdS) black holes in four dimensions that contain only a single Killing vector field. These solutions, which we coin black resonators, link the superradiant instability of Kerr-AdS to the nonlinear weakly turbulent instability of AdS by connecting the onset of the superradiance instability to smooth, horizonless geometries called geons. Furthermore, they demonstrate non-uniqueness of Kerr-AdS by sharing asymptotic charges. Where black resonators coexist with Kerr-AdS, we find that the black resonators have higher entropy. Nevertheless, we show that black resonators are unstable and comment on the implications for the endpoint of the superradiant instability.
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Dias, Ó.J.C., Santos, J.E. & Way, B. Black holes with a single Killing vector field: black resonators. J. High Energ. Phys. 2015, 1–10 (2015). https://doi.org/10.1007/JHEP12(2015)171
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DOI: https://doi.org/10.1007/JHEP12(2015)171