Black holes with a single Killing vector field: black resonators

2015/05/18 by Óscar J. C. Dias, Oscar J. C. Dias, Jorge E. Santos +1 · 4 citations
Mathematics · Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Instability #Laser #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Optics #Physics #Quantum electrodynamics #Quantum mechanics #Resonator #Rotating black hole #Superradiance #Uniqueness #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep12(2015)171

5 pages, 4 figures

arxiv created 2015/05/18 · openalex publication_date 2015/12/01 · arxiv updated 2016/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Scalar collapse in AdS spacetimes
• Collapse of massive fields in anti-de Sitter spacetime
• Black strings andp-branes are unstable
• Black holes in general relativity
• Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
• Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation
• Black hole uniqueness theorems in higher dimensional spacetimes

Cited by

• Superradiant instabilities of asymptotically anti-de Sitter black holes
• Gravitational systems in asymptotically anti-de Sitter space-times
• Uniqueness of supersymmetric AdS 5 black holes with SU (2) symmetry
• Towards a violation of cosmic censorship

Related

• Maxwell perturbations on Kerr-anti-de Sitter: quasinormal modes, superradiant instabilities and vector clouds
• The Superradiant Instability in AdS
• Maxwell perturbations on asymptotically anti-de Sitter spacetimes: Generic boundary conditions and a new branch of quasinormal modes
• Instability of charged black holes in anti-de Sitter space
• Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes