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.
10 pages, 3 figures, published version
References in corpus (7)
- Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
- Three-dimensional numerical simulations of the pulsar magentoshere: Preliminary results
- "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
- Accurate Simulations of Binary Black-Hole Mergers in Force-Free Electrodynamics
- Force-free magnetosphere of an aligned rotator with differential rotation of open magnetic field lines
Cited by in corpus (7)
- The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
- Magnetosphere of a Kerr black hole immersed in magnetized plasma and its perturbative mode structure
- Coupled Oscillator Model for Nonlinear Gravitational Perturbations
- Analytic properties of force-free jets in the Kerr spacetime -- III: uniform field solution
- Toward a Full MHD Jet Model of Spinning Black Holes--II: Kinematics and Application to the M87 Jet
- Accumulative coupling between magnetized tenuous plasma and gravitational waves
- Particle acceleration driven by null electromagnetic fields near a Kerr black hole