Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field

Abstract

Charged rotating Kerr-Newman black holes are known to be superradiantly unstable to perturbations of charged massive bosonic fields whose proper frequencies lie in the bounded regime $0<\omega <\text{min}\{{\omega }_{\text{c}}\equiv m{\Omega }_{\text{H}}+q{\Phi }_{\text{H}},\mu \}$ [here $\{{\Omega }_{\text{H}},{\Phi }_{\text{H}}\}$ are respectively the angular velocity and electric potential of the Kerr-Newman black hole, and $\{m,q,\mu \}$ are respectively the azimuthal harmonic index, the charge coupling constant, and the proper mass of the field]. In this paper we study analytically the complex resonance spectrum which characterizes the dynamics of linearized charged massive scalar fields in a near-extremal Kerr-Newman black-hole spacetime. Interestingly, it is shown that near the critical frequency ${\omega }_{\text{c}}$ for superradiant amplification and in the eikonal large-mass regime, the superradiant instability growth rates of the explosive scalar fields are characterized by a non-trivial (non-monotonic) dependence on the dimensionless charge-to-mass ratio $q/\mu$. In particular, for given parameters $\{M,Q,J\}$ of the central Kerr-Newman black hole, we determine analytically the optimal charge-to-mass ratio $q/\mu$ of the explosive scalar field which {\it maximizes} the growth rate of the superradiant instabilities in the composed Kerr-Newman-black-hole-charged-massive-scalar-field system.

arXiv comment11 pages

References in corpus (72)

• Kerr black holes with scalar hair
• Exploring the String Axiverse with Precision Black Hole Physics
• Shadows of Kerr black holes with scalar hair
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• The black hole bomb and superradiant instabilities
• Kerr black holes with Proca hair
• 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
• Stationary Scalar Clouds Around Rotating Black Holes
• 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
• Kerr-Newman scalar clouds
• Explosion and final state of an unstable Reissner-Nordstrom black hole
• Weak Cosmic Censorship: As Strong as Ever
• 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
• Kerr black holes with self-interacting scalar hair: hairier but not heavier
• On the instability regime of the rotating Kerr spacetime to massive scalar perturbations
• Black holes and fundamental fields in Numerical Relativity: initial data construction and evolution of bound states
• Classes of Exact Solutions to the Teukolsky Master Equation
• Time evolution of superradiant instabilities for charged black holes in a cavity
• Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin
• A new spin on black hole hair
• Analytic treatment of the black-hole bomb
• Non-linear Q-clouds around Kerr black holes
• Black hole solutions in Einstein-charged scalar field theory
• Stability of black holes in Einstein-charged scalar field theory in a cavity
• Iron K$\alpha$ line of Kerr black holes with scalar hair
• Scalarized Hairy Black Holes
• Myers-Perry black holes with scalar hair and a mass gap
• Stationary scalar configurations around extremal charged black holes
• 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
• The large-mass limit of cloudy black holes
• Extremal Kerr-Newman black holes with extremely short charged scalar hair
• The superradiant instability regime of the spinning Kerr black hole
• Inside black holes with synchronized hair
• Rotating black holes can have short bristles
• New instability for rotating black branes and strings
• Teukolsky-Starobinsky Identities - a Novel Derivation and Generalizations
• Myers-Perry black holes with scalar hair and a mass gap: unequal spins
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• How fast can a black hole rotate?
• Black hole bombs and explosions: from astrophysics to particle physics
• Instability of rotating black hole in a limited form of $f(R)$ gravity
• Wiggly tails: a gravitational wave signature of massive fields around black holes
• A no-short scalar hair theorem for rotating Kerr black holes
• Marginal scalar and Proca clouds around Reissner-Nordström black holes
• Onset of superradiant instabilities in the composed Kerr-black-hole-mirror bomb
• Instability of a Kerr black hole in f(R) gravity
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• On the stability of the massive scalar field in Kerr space-time
• The charged black-hole bomb: A lower bound on the charge-to-mass ratio of the explosive scalar field
• Instability of charged massive scalar fields in bound states around Kerr-Sen black holes
• Superradiant instability of D-dimensional Reissner-Nordström black hole mirror system
• Stability of gravitating charged-scalar solitons in a cavity
• Quasi-bound states of massive scalar fields in the Kerr black-hole spacetime: Beyond the hydrogenic approximation
• Time domain analysis of superradiant instability for the charged stringy black hole-mirror system
• Scalar clouds in charged stringy black hole-mirror system
• Stability of charged black holes in string theory under charged massive scalar perturbations
• Eigenvalue spectrum of the spheroidal harmonics: A uniform asymptotic analysis
• Algebraically special resonances of the Kerr-black-hole-mirror bomb
• Asymptotic spectrum of the oblate spin-weighted spheroidal harmonics: a WKB analysis
• Black-hole perturbation theory: The asymptotic spectrum of the prolate spin-weighted spheroidal harmonics
• Black hole energy extraction via stationary scalar clouds
• Analytical study of superradiant instability for five-dimensional Kerr-Gödel black hole
• Resonance spectra of caged black holes
• Onset of superradiant instabilities in the hydrodynamic vortex model
• Superradiance by mini black holes with mirror
• Black-hole bombs at the LHC

Cited by in corpus (17)

• Optical properties of Kerr-Newman spacetime in the presence of plasma
• Marginally bound resonances of charged massive scalar fields in the background of a charged reflecting shell
• Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects
• Superradiance and Stability of Kerr Black Hole Enclosed by Anisotropic Fluid Matter
• Analytic study of superradiant stability of Kerr-Newman black holes under charged massive scalar perturbation
• Extremal rotating black holes, scalar perturbation and superradiant stability
• Analytical Study of a Kerr-Sen Black Hole and a Charged Massive Scalar Field
• Massive Scalar Perturbation of Extremal Rotating Braneworld Black hole: Superradiant Stability Analysis
• Next-to-leading-order solution to Kerr-Newman black hole superradiance
• Massive vector field perturbations on extremal and near-extremal static black holes
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Massive tensor field perturbations on extremal and near-extremal static black holes
• Relaxation rate of RNdS black hole
• Hawking temperature of black holes with multiple horizons
• Black Hole Superradiance in f(R) Gravities
• The superradiant stability of Kerr-Newman black holes
• On-Axis Tidal Forces in Kerr Spacetime