Stability of Force-Free Magnetospheres
arXiv:1406.4602 · doi:10.1103/PhysRevD.90.104022
Abstract
We analyze the dynamical evolution of a perturbed force-free magnetosphere of a rotating black hole, which is described by the Blandford-Znajek solution in the stationary limit. We find that the electromagnetic field perturbations can be classified into two categories: "trapped modes" and "traveling waves". The trapped modes are analogous to the vacuum (without plasma) electromagnetic quasinormal modes in rotating black hole spacetimes, but with different eigenfrequencies and wave functions, due to their coupling with the background electromagnetic field and current. The traveling waves propagate freely to infinity or the black hole horizon along specific null directions, and they are closely related to the no-scattering Poynting flux solutions discovered by Brennan, Gralla and Jacobson. Our results suggest that the Blandford-Znajek solution is mode stable, and more importantly we expect this study to illuminate the dynamical behavior of force-free magnetospheres as well as to shed light on the path to new exact solutions.
arXiv comment10 pages, 3 figures, published version
References in corpus (27)
- Quasinormal modes of black holes and black branes
- Time-dependent force-free pulsar magnetospheres: axisymmetric and oblique rotators
- Intermittent search strategies
- The Axisymmetric Pulsar Magnetosphere
- Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
- Dual Jets from Binary Black Holes
- Three-dimensional numerical simulations of the pulsar magentoshere: Preliminary results
- On the Properties of Time-Dependent, Force-Free, Degenerate Electrodynamics
- Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
- Magnetospheres of Black Hole Systems in Force-Free Plasma
- "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
- General Relativistic Force-Free Electrodynamics: A New Code and Applications to Black Hole Magnetospheres
- Branching of quasinormal modes for nearly extremal Kerr black holes
- The pulsar force-free magnetosphere linked to its striped wind: time-dependent pseudo-spectral simulations
- Accurate Simulations of Binary Black-Hole Mergers in Force-Free Electrodynamics
- Intense Electromagnetic Outbursts from Collapsing Hypermassive Neutron Stars
- Force-Free Magnetosphere of an Accretion Disk -- Black Hole System. II. Kerr Geometry
- Introducing PHAEDRA: a new spectral code for simulations of relativistic magnetospheres
- Exact Solutions to Force-Free Electrodynamics in Black Hole Backgrounds
- The Extended Pulsar Magnetosphere
- Simulation of Relativistic Force-free Magnetohydrodynamic Turbulence
- Schwarzschild black holes as unipolar inductors: expected electromagnetic power of a merger
- Robustness of the Blandford-Znajek mechanism
- A High-Order WENO-based Staggered Godunov-type Scheme with Constrained Transport for Force-free Electrodynamics
- The scalar Green function of the Kerr spacetime
- Force-free magnetosphere of an aligned rotator with differential rotation of open magnetic field lines
- Time Evolution of Relativistic Force-Free Fields Connecting a Neutron Star and its Disk
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- The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
- Electromagnetic Jets from Stars and Black Holes
- Blandford-Znajek mechanism in the general stationary axially-symmetric black-hole spacetime
- Magnetosphere of a spinning black hole and the role of the current sheet
- Magnetosphere of a Kerr black hole immersed in magnetized plasma and its perturbative mode structure
- Coupled Oscillator Model for Nonlinear Gravitational Perturbations
- Force-Free Foliations
- Analytic properties of force-free jets in the Kerr spacetime -- III: uniform field solution
- Stability of exact force-free electrodynamic solutions and scattering from spacetime curvature
- Toward a Full MHD Jet Model of Spinning Black Holes--II: Kinematics and Application to the M87 Jet
- Towards a Full MHD Jet Model of Spinning Black Holes--I: Framework and a split monopole example
- Crystals of gauged solitons, force free plasma and resurgence
- Plasma-wave generation in a dynamic spacetime
- Plasma Waves and Jets from Moving Conductors
- Accumulative coupling between magnetized tenuous plasma and gravitational waves
- Particle acceleration driven by null electromagnetic fields near a Kerr black hole
- Alfvénic superradiance for a monopole magnetosphere around a Kerr black hole