Instability of Massive Scalar Fields in Kerr-Newman Spacetime

Abstract

We investigate the instability of charged massive scalar fields in Kerr-Newman spacetime. Due to the super-radiant effect of the background geometry, the bound state of the scalar field is unstable, and its amplitude grows in time. By solving the Klein-Gordon equation of the scalar field as an eigenvalue problem, we numerically obtain the growth rate of the amplitude of the scalar field. Although the dependence of the scalar field mass and the scalar field charge on this growth rate agrees with the result of the analytic approximation, the maximum value of the growth rate is three times larger than that of the analytic approximation. We also discuss the effect of the electric charge on the instability of the scalar field.

15 pages, 10 figures. Accepted for publication in Prog.Theor.Phys

Cited by in corpus (146)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Superradiant instabilities in astrophysical systems
• Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
• Superradiant instabilities of rotating black holes in the time domain
• Gravitational radiation from an axion cloud around a black hole: Superradiant phase
• Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states
• Superradiant instabilities of rotating black branes and strings
• Kerr-Newman scalar clouds
• Instabilities of Black Strings and Branes
• Numerical Methods for Finding Stationary Gravitational Solutions
• Rapid growth of superradiant instabilities for charged black holes in a cavity
• Stationary resonances of rapidly-rotating Kerr black holes
• Kerr-Newman black holes with stationary charged scalar clouds
• On the instability regime of the rotating Kerr spacetime to massive scalar perturbations
• Stimulated axion decay in superradiant clouds around primordial black holes
• Time evolution of superradiant instabilities for charged black holes in a cavity
• Black Hole Spin Constraints on the Mass Spectrum and Number of Axion-like Fields
• Directed searches for gravitational waves from ultralight bosons
• Analytic treatment of the black-hole bomb
• A massive charged scalar field in the Kerr-Newman background I: quasinormal modes, late-time tails and stability
• Black hole solutions in Einstein-charged scalar field theory
• Stability of black holes in Einstein-charged scalar field theory in a cavity
• Instability of the Proca field on Kerr spacetime
• Bosenova and Axiverse
• Destroying Kerr-Sen black holes
• Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit
• Kerr black holes with synchronised hair: an analytic model and dynamical formation
• The extremal black hole bomb
• Parameters estimation and strong gravitational lensing of nonsingular Kerr-Sen black holes
• Ultraspinning instability of rotating black holes
• Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation
• Analytic treatment of the charged black-hole-mirror bomb in the highly explosive regime
• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• Exploring New Physics Frontiers Through Numerical Relativity
• Analytical solutions in rotating linear dilaton black holes: resonant frequencies, quantization, greybody factor, and Hawking radiation
• Charged Fermions and Strong Cosmic Censorship
• The large-mass limit of cloudy black holes
• The Klein-Gordon equation in the spacetime of a charged and rotating black hole
• Extremal Kerr-Newman black holes with extremely short charged scalar hair
• The superradiant instability regime of the spinning Kerr black hole
• Superradiant instability of black holes immersed in a magnetic field
• Rotating black holes can have short bristles
• Aspects of Nonlinear Effect on Black Hole Superradiance
• Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordström-de Sitter black holes
• Bound states of the Dirac equation on Kerr spacetime
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• Black holes in a box: towards the numerical evolution of black holes in AdS
• Instability of rotating black hole in a limited form of $f(R)$ gravity
• Resonance and absorption spectra of the Schwarzschild black hole for massive scalar perturbations: a complex angular momentum analysis
• Superradiant instability of charged massive scalar field in Kerr-Newman-anti-de Sitter black hole
• Quasinormal modes of a massless charged scalar field on a small Reissner-Nordström-anti-de Sitter black hole
• Null Geodesics and Observables around Kerr-Sen Black Hole
• Schwarzschild scalar wigs: spectral analysis and late time behavior
• Superradiant instability of large radius doubly spinning black rings
• Scalar clouds and the superradiant instability regime of Kerr-Newman black hole
• Can black hole superradiance be induced by galactic plasmas?
• Periodic orbits around Kerr Sen black holes
• Marginal scalar and Proca clouds around Reissner-Nordström black holes
• Multiband gravitational-wave searches for ultralight bosons
• Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime
• Boosted black string bombs
• On the instability for massive scalar fields in Kerr-Newman spacetime
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• Instability of the charged massive scalar field on the Kerr-Newman black hole spacetime
• Probing the string axiverse by gravitational waves from Cygnus X-1
• Scalar perturbations of higher dimensional rotating and ultra-spinning black holes
• Instability of charged massive scalar fields in bound states around Kerr-Sen black holes
• Gravitational ringing and superradiant instabilities of the Kerr-like black holes in a dark matter halo
• The charged black-hole bomb: A lower bound on the charge-to-mass ratio of the explosive scalar field
• On the stability of the massive scalar field in Kerr space-time
• On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box
• Superradiance in the BTZ black hole with Robin boundary conditions
• Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field
• Superradiant instability of D-dimensional Reissner-Nordström black hole mirror system
• Stability of gravitating charged-scalar solitons in a cavity
• Superradiant axion clouds around asteroid-mass primordial black holes
• Quasibound states of charged dilatonic black holes
• Superradiance in the sky
• Scalar clouds around Kerr-Sen black holes
• Time domain analysis of superradiant instability for the charged stringy black hole-mirror system
• Quasistationary solutions of self-gravitating scalar fields around collapsing stars
• Scalar clouds in charged stringy black hole-mirror system
• Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
• Quasinormal modes, quasibound states, scalar clouds, and superradiant instabilities of a Kerr-like black hole
• Plausible scenario for a generic violation of the weak cosmic censorship conjecture in asymptotically flat four dimensions
• Stability of charged black holes in string theory under charged massive scalar perturbations
• Acoustic black-hole bombs and scalar clouds in a photon-fluid model
• Testing black hole superradiance with pulsar companions
• Superradiance and Stability of Kerr Black Hole Enclosed by Anisotropic Fluid Matter
• Algebraically special resonances of the Kerr-black-hole-mirror bomb
• Forecasts for Low Spin Black Hole Spectroscopy in Horndeski Gravity
• Stability analysis on charged black hole with non-linear complex scalar
• Lifetime of scalar cloud formation around a rotating regular black hole
• Superradiance Instability of Small Rotating AdS Black Holes in Arbitrary Dimensions
• Charged black holes in non-linear Q-clouds with O(3) symmetry
• On the gravitational stability of D1-D5-P black holes
• Superradiant pion clouds around primordial black holes
• Greybody factors for massive scalar field emitted from black holes in dRGT massive gravity
• Analytical study of superradiant instability for five-dimensional Kerr-Gödel black hole
• Analytic study of superradiant stability of Kerr-Newman black holes under charged massive scalar perturbation
• Massive scalar field perturbation on Kerr black holes in dynamical Chern-Simons gravity
• Superradiant Leptogenesis
• Superradiance of massive scalar particles around rotating regular black holes
• Gravitational atoms in the braneworld scenario
• On-axis scattering of scalar fields by charged rotating black holes
• Onset of superradiant instabilities in the hydrodynamic vortex model
• Superradiant instability of a charged regular black hole
• Superradiantly stable non-extremal Reissner-Nordstrom black holes
• Penrose process in Reissner-Nordström-AdS black hole spacetimes: Black hole energy factories and black hole bombs
• Perturbations and absorption cross-section of infinite-radius black rings
• Extremal rotating black holes, scalar perturbation and superradiant stability
• The spinning Kerr-black-hole-mirror bomb: A lower bound on the radius of the reflecting mirror
• Renormalized stress tensor for massive fields in Kerr-Newman spacetime
• Analytical Study of a Kerr-Sen Black Hole and a Charged Massive Scalar Field
• Superradiant instabilities of massive bosons around exotic compact objects
• Next-to-leading-order solution to Kerr-Newman black hole superradiance
• Massive Scalar Perturbation of Extremal Rotating Braneworld Black hole: Superradiant Stability Analysis
• Superradiant Instability of Extremal Black Holes in STU Supergravity
• Superradiance of a Global Monopole in Reissner-Nordström(-AdS) Space-time
• Ultralight boson constraints from gravitational wave observations of spinning binary black holes
• Superradiance of rotating black holes surrounded by dark matter
• Marginally stable resonant modes of the polytropic hydrodynamic vortex
• Conditions for superradiant instability of the Kerr-Newman black holes
• Quasibound states of the Dirac field in Schwarzschild and Reissner-Nordström black hole backgrounds
• Revisiting superradiant stability of Kerr-Newman black holes under a charged massive scalar
• The Quasi-normal Modes of Charged Scalar Fields in Kerr-Newman black hole and Its Geometric Interpretation
• Hawking Radiation of Nonrelativistic Scalars: Applications to Pion and Axion Production
• Extremal Charged Black Holes and Superradiantly Unstable Quasinormal Modes
• Superradiant instability in slowly rotating Kerr-Newman black holes
• Stability study of a model for the Klein-Gordon equation in Kerr spacetime
• Phantom scalar emission in the Kerr black hole spacetime
• Superradiant instability of extremal brane-world Reissner-Nordström black holes to charged scalar perturbations
• Greybody Factor for massive scalar field in charged black hole
• The Stochastic Gravitational Wave Background from Primordial Gravitational Atoms
• Nonlinear Evolution of unstable Charged de Sitter Black Holes with Hyperboloidal Formalism
• How short can stationary charged scalar hair be?
• Superradiant instability of dyonic Reissner-Nordstrom black holes
• Stability study of a model for the Klein-Gordon equation in Kerr space-time II
• Cold Plasma Wave Analysis in Magneto-Rotational Fluids
• Superradiance and instabilities in black holes surrounded by anisotropic fluids
• No-bomb theorem for charged Reissner-Nordstrom black holes
• Superradiance and Quasinormal Modes of Massive Scalar Fields around Kerr Black Holes in Einstein-Maxwell-Dilaton-Axion Theory with Perfect Fluid Dark Matter
• Linear stability of charged warm holes
• Exact Regions of Superradiant Instability of Kerr-Newman Black Holes and Massive Scalar Fields
• Poincaré asymptotic expansion in black hole theory