Superradiance in the BTZ black hole with Robin boundary conditions
arXiv:1710.08039 · doi:10.1016/j.physletb.2018.01.018
Abstract
We show the existence of superradiant modes of massive scalar fields propagating in BTZ black holes when certain Robin boundary conditions, which never include the commonly considered Dirichlet boundary conditions, are imposed at spatial infinity. These superradiant modes are defined as those solutions whose energy flux across the horizon is towards the exterior region. Differently from rotating, asymptotically flat black holes, we obtain that not all modes which grow up exponentially in time are superradiant; for some of these, the growth is sourced by a bulk instability of AdS3, triggered by the scalar field with Robin boundary conditions, rather than by energy extraction from the BTZ black hole. Thus, this setup provides an example wherein Bosonic modes with low frequency are pumping energy into, rather than extracting energy from, a rotating black hole.
arXiv comment10 pages, 5 figures
References in corpus (35)
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- Kerr black holes with scalar hair
- Instability of the massive Klein-Gordon field on the Kerr spacetime
- Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
- Kerr black holes with Proca hair
- Black holes as particle detectors: evolution of superradiant instabilities
- Black-Hole Bombs and Photon-Mass Bounds
- Superradiant instabilities in astrophysical systems
- Stationary Scalar Clouds Around Rotating Black Holes
- Small Kerr-anti-de Sitter black holes are unstable
- Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
- Instability of Massive Scalar Fields in Kerr-Newman Spacetime
- Superradiant instabilities of rotating black holes in the time domain
- Kerr-Newman scalar clouds
- Stationary resonances of rapidly-rotating Kerr black holes
- Kerr-Newman black holes with stationary charged scalar clouds
- Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
- Superradiant instability of massive vector fields around spinning black holes in the relativistic regime
- Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics
- Kerr black holes with synchronised hair: an analytic model and dynamical formation
- The superradiant instability regime of the spinning Kerr black hole
- New stability results for Einstein scalar gravity
- Hadamard states for a scalar field in anti-de Sitter spacetime with arbitrary boundary conditions
- Superradiant instability of charged massive scalar field in Kerr-Newman-anti-de Sitter black hole
- Scalar clouds and the superradiant instability regime of Kerr-Newman black hole
- Maxwell perturbations on Kerr-anti-de Sitter: quasinormal modes, superradiant instabilities and vector clouds
- Stationary Charged Scalar Clouds around Black Holes in String Theory
- Stationary scalar clouds around a BTZ black hole
- Maxwell perturbations on asymptotically anti-de Sitter spacetimes: Generic boundary conditions and a new branch of quasinormal modes
- Superradiance Instability of Small Rotating AdS Black Holes in Arbitrary Dimensions
- Black hole energy extraction via stationary scalar clouds
- Ground state for a massive scalar field in BTZ spacetime with Robin boundary conditions
- No superradiance for the scalar field in the BTZ black hole with reflexive boundary conditions
- A Rigorous Treatment of Energy Extraction from a Rotating Black Hole
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- Superradiant instability and charged scalar quasinormal modes for -dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
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- Holographic open quantum systems: Toy models and analytic properties of thermal correlators
- Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
- Superradiant instabilities in the Kerr-mirror and Kerr-AdS black holes with Robin boundary conditions
- Spectroscopy of Kerr-AdS spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
- Scalar field instabilities in charged BTZ black holes
- Stability of small charged anti-de Sitter black holes in the Robin boundary
- Hairy black holes in AdS with Robin boundary conditions
- Quasinormal modes of charged BTZ black holes
- Vacuum polarization on three-dimensional anti-de Sitter space-time with Robin boundary conditions
- Robin boundary conditions in acoustic BTZ black holes
- No-go theorem for static boson stars with negative cosmological constants
- Aspects of the BTZ black hole interacting with fields
- Analog model for the BTZ black hole
- Boundary conditions for isolated asymptotically anti-de Sitter spacetimes
- (Quasi-)normal modes of rotating black holes and new solitons in Einstein-Gauss-Bonnet
- Superradiance of anyons
- Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes