Consistent Blandford-Znajek Expansion
arXiv:2002.01972 · doi:10.1088/1475-7516/2020/04/009
Abstract
The Blandford-Znajek mechanism is the continuous extraction of energy from a rotating black hole via plasma currents flowing on magnetic field lines threading the horizon. In the discovery paper, Blandford and Znajek demonstrated the mechanism by solving the equations of force-free electrodynamics in a perturbative expansion valid at small black hole spin. Attempts to extend this perturbation analysis to higher order have encountered inconsistencies.We overcome this problem using the method of matched asymptotic expansions, taking care to resolve all of the singular surfaces (light surfaces) in the problem. Working with the monopole field configuration, we show explicitly how the inconsistencies are resolved in this framework and calculate the field configuration to one order higher than previously known. However, there is no correction to the energy extraction rate at this order. These results confirm the basic consistency of the split monopole at small spin and lay a foundation for further perturbative studies of the Blandford-Znajek mechanism.
corrected few typos
References in corpus (19)
- Black Hole Spin and the Radio Loud/Quiet Dichotomy of Active Galactic Nuclei
- The Axisymmetric Pulsar Magnetosphere
- The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
- Simulations of Ultrarelativistic Magnetodynamic Jets from Gamma-ray Burst Engines
- Electrodynamics of black hole magnetospheres
- First-Principles Plasma Simulations of Black-Hole Jet Launching
- A Rigorous Derivation of Gravitational Self-force
- Spacetime approach to force-free magnetospheres
- Black Hole Magnetospheres
- Higher Order Terms of Kerr Parameter for Blandford-Znajek Monopole Solution
- Inclined Pulsar Magnetospheres in General Relativity: Polar Caps for the Dipole, Quadrudipole and Beyond
- Slowly balding black holes
- Pulsar Magnetospheres: Beyond the Flat Spacetime Dipole
- Electromagnetic Jets from Stars and Black Holes
- Energy extraction from boosted black holes: Penrose process, jets, and the membrane at infinity
- Fourth-order split monopole perturbation solutions to the Blandford-Znajek mechanism
- Analytic properties of force-free jets in the Kerr spacetime- I
- On the existence of the Blandford-Znajek monopole for a slowly rotating Kerr black hole
- Black hole jet power from impedance matching
Cited by in corpus (15)
- Black Hole Polarimetry I: A Signature of Electromagnetic Energy Extraction
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- Signatures of Black Hole Spin and Plasma Acceleration in Jet Polarimetry
- Blandford-Znajek Process in Quadratic Gravity
- Electromagnetic Energy Extraction from Kerr Black Holes: Ab-Initio Calculations
- Blandford-Znajek jets in MOdified Gravity
- Backreaction of Mass and Angular Momentum Accretion on Black Holes: General Formulation of the Metric Perturbations and Application to the Blandford-Znajek Process
- Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
- Black hole pulsars and monster shocks as outcomes of black hole--neutron star mergers
- Force-free magnetosphere attractors for near-horizon extreme and near-extreme limits of Kerr black hole
- The Non-Null and Force-Free Electromagnetic Field
- Magnetic field geometry in rotating wormhole spacetimes
- Signatures of Extra Dimensions in Black Hole Jets
- General Grad-Shafranov Equation
- Universality of the Blandford-Znajek emission in stationary and axisymmetric spacetimes