Analytic properties of force-free jets in the Kerr spacetime- I

Abstract

Blandford-Znajek (BZ) mechanism describes a process extracting rotation energy from a spinning black hole (BH) via magnetic field lines penetrating the event horizon of central BH. In this paper, we present a perturbation approach to study force-free jets launched by the BZ mechanism, and its two immediate applications: (1) we present a high-order split monopole perturbation solution to the BZ mechanism, which accurately pins down the energy extraction rate $\dot{E}$ and well describes the structure of BH magnetosphere for all range of BH spins ($0\le a\le 1$); (2) the approach yields an exact constraint for the monopole field configuration in the Kerr spacetime, $I=\Omega (1-A_{\varphi }^2)$, where $A_{\varphi }$ is the $\varphi -$component of the vector potential of electromagnetic field, $\Omega$ is the angular velocity of magnetic field lines and $I$ is the poloidal electric current. The constraint is of particular importance to benchmark the accuracy of numerical simulations.

updated to ApJ accepted version

References in corpus (7)

• Alignment of Magnetized Accretion Disks and Relativistic Jets with Spinning Black Holes
• "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
• Accurate Simulations of Binary Black-Hole Mergers in Force-Free Electrodynamics
• Black Hole Magnetospheres
• Higher Order Terms of Kerr Parameter for Blandford-Znajek Monopole Solution
• Fourth-order split monopole perturbation solutions to the Blandford-Znajek mechanism
• Highly-collimated, magnetically-dominated jets around rotating black holes

Cited by in corpus (18)

• Analytical Solution of Magnetically Dominated Astrophysical Jets and Winds: Jet Launching, Acceleration, and Collimation
• Blandford--Znajek monopole expansion revisited: novel non-analytic contributions to the power emission
• Numerically solving the relativistic Grad-Shafranov equation in Kerr spacetimes: Numerical techniques
• A novel scheme for simulating the force-free equations: boundary conditions and the evolution of solutions towards stationarity
• Consistent Blandford-Znajek Expansion
• Black hole energy extraction via stationary scalar clouds
• Analytic properties of force-free jets in the Kerr spacetime -- II
• Analytic properties of force-free jets in the Kerr spacetime -- III: uniform field solution
• 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
• Toward a Full MHD Jet Model of Spinning Black Holes--II: Kinematics and Application to the M87 Jet
• Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
• Towards a Full MHD Jet Model of Spinning Black Holes--I: Framework and a split monopole example
• Magnetosphere structure of a Kerr black hole: marginally force-free equatorial boundary condition
• Effects of Inner Alfvén Surface Location on Black Hole Energy Extraction in the Limit of a Force-Free Magnetosphere
• Selected Chapters on Active Galactic Nuclei as Relativistic Systems
• Kerr black hole in presence of force-free magnetic field
• Particle acceleration driven by null electromagnetic fields near a Kerr black hole