Nonlinear Evolution of unstable Charged de Sitter Black Holes with Hyperboloidal Formalism
arXiv:2411.03193 · doi:10.1103/PhysRevD.111.024025
Abstract
Based on the hyperboloidal framework, we research the dynamical process of charged de Sitter black holes scattered by a charged scalar field. From the linear perturbation analysis, with the coupling strength within a critical interval, the charged scalar field with a superradiance frequency can induce the instability of the system. To reveal the real-time dynamics of such an instability, the nonlinear numerical simulation is implemented. The results show that the scalar field grows exponentially in the early stages and drastically extracts the charge from the black hole due to the superradiance, analogous to the charged black hole in a closed system. Differently, after saturation, the scalar field can not coexist with the central black hole stably and dissipates beyond the cosmological horizon slowly, leaving behind a bald black hole.
16 pages, 12 figures,
References in corpus (64)
- Instability of the massive Klein-Gordon field on the Kerr spacetime
- The black hole bomb and superradiant instabilities
- Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
- Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
- Critical phenomena in gravitational collapse
- Black holes as particle detectors: evolution of superradiant instabilities
- Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
- Superradiant instabilities in astrophysical systems
- Constraining the mass of dark photons and axion-like particles through black-hole superradiance
- Small Kerr-anti-de Sitter black holes are unstable
- Numerical Relativity: A review
- Instability of Massive Scalar Fields in Kerr-Newman Spacetime
- Superradiant instabilities of rotating black holes in the time domain
- Superradiant instabilities of rotating black branes and strings
- Explosion and final state of an unstable Reissner-Nordstrom black hole
- Hyperboloidal foliations and scri-fixing
- An instability of higher-dimensional rotating black holes
- Rapid growth of superradiant instabilities for charged black holes in a cavity
- Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
- Strong cosmic censorship in charged black-hole spacetimes: still subtle
- A geometric framework for black hole perturbations
- Time evolution of superradiant instabilities for charged black holes in a cavity
- Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
- The Choptuik spacetime as an eigenvalue problem
- Nonlinear Evolution and Final Fate of Charged Anti-de Sitter Black Hole Superradiant Instability
- Massive Boson Superradiant Instability of Black Holes: Nonlinear Growth, Saturation, and Gravitational Radiation
- Stability of black holes in Einstein-charged scalar field theory in a cavity
- Black hole solutions in Einstein-charged scalar field theory
- Instability of the Proca field on Kerr spacetime
- The extremal black hole bomb
- Charged scalar field instability between the event and cosmological horizons
- Strong cosmic censorship for charged de Sitter black holes with a charged scalar field
- Analytic treatment of the charged black-hole-mirror bomb in the highly explosive regime
- Strong cosmic censorship for the massless charged scalar field in the Reissner-Nordstrom-de Sitter spacetime
- Numerical computation of second order vacuum perturbations of Kerr black holes
- Dynamical formation of a Reissner-Nordström black hole with scalar hair in a cavity
- Scaling of curvature in sub-critical gravitational collapse
- Massive scalar field instability in Kerr spacetime
- Hyperboloidal Einstein-matter evolution and tails for scalar and Yang-Mills fields
- An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
- Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordström-de Sitter black holes
- Strong cosmic censorship: The nonlinear story
- Hairy black holes and the endpoint of AdS charged superradiance
- A de Sitter Hoedown
- Quasinormal modes of a massless charged scalar field on a small Reissner-Nordström-anti-de Sitter black hole
- Superradiant Instability of Near Extremal and Extremal Four-Dimensional Charged Hairy Black Hole in anti-de Sitter Spacetime
- Critical phenomena in dynamical scalarization of charged black hole
- Spherical symmetry as a test case for unconstrained hyperboloidal evolution
- Maxwell perturbations on Kerr-anti-de Sitter: quasinormal modes, superradiant instabilities and vector clouds
- Nonlinear evolution of the AdS black hole bomb
- Superradiant instability of Kerr-de Sitter black holes in scalar-tensor theory
- Critical Collapse of a Complex Scalar Field with Angular Momentum
- Dynamical transitions in scalarization and descalarization through black hole accretion
- Superradiance of a charged scalar field coupled to the Einstein-Maxwell equations
- Time domain analysis of superradiant instability for the charged stringy black hole-mirror system
- Dynamical Phase Transition from Nonequilibrium Dynamics of Dark Solitons
- Instability of regularized 4D charged Einstein-Gauss-Bonnet de-Sitter black holes
- Kerr-de Sitter spacetime, Penrose process and the generalized area theorem
- Superradiant instabilities in the Kerr-mirror and Kerr-AdS black holes with Robin boundary conditions
- Hairy black resonators and the AdS superradiant instability
- Unconstrained hyperboloidal evolution of black holes in spherical symmetry with GBSSN and Z4c
- Exact dynamical AdS black holes and wormholes with a Klein-Gordon field
- Holographic dissipative space-time supersolids
- Static de-Sitter Black Holes Abhor Charged Scalar Hair