Black holes with a single Killing vector field: black resonators

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.

5 pages, 4 figures

References in corpus (7)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Symmetries of Higher Dimensional Black Holes
• Ultraspinning instability of rotating black holes
• The Black Ring is Unstable
• Collapse of massive fields in anti-de Sitter spacetime

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