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arXiv · 1505.04793

Black holes with a single Killing vector field: black resonators

Oscar J. C. Dias·Jorge E. Santos·Benson Way
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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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Oscar J. C. Dias, Jorge E. Santos, Benson Way. 2015-05-18. Black holes with a single Killing vector field: black resonators. https://doi.org/10.1007/jhep12(2015)171

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