Fourth-order split monopole perturbation solutions to the Blandford-Znajek mechanism

Abstract

The Blandford-Znajek (BZ) mechanism describes a physical process for the energy extraction from a spinning black hole (BH), which is believed to power a great variety of astrophysical sources, such as active galactic nuclei (AGNs) and Gamma ray bursts (GRBs). The only known analytic solution to the BZ mechanism is a split monopole perturbation solution up to $O(a^2)$, where $a$ is the spin parameter of a Kerr black hole. In this paper, we extend the monopole solution to higher order $\sim O(a^4)$. We carefully investigate the structure of the BH magnetosphere, including the angular velocity of magnetic field lines $\Omega$, the toroidal magnetic field $B^{\varphi }$ as well as the poloidal electric current $I$. In addition, the relevant energy extraction rate $\dot{E}$ and the stability of this high-order monopole perturbation solution are also examined.

arXiv comment1 fig; PRD in press

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Cited by in corpus (18)

• Neutrino-dominated accretion flows as the central engine of gamma-ray bursts
• Black Hole Pulsar
• Blandford--Znajek monopole expansion revisited: novel non-analytic contributions to the power emission
• Consistent Blandford-Znajek Expansion
• Analytic properties of force-free jets in the Kerr spacetime- I
• 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
• On the existence of the Blandford-Znajek monopole for a slowly rotating Kerr black hole
• Blandford-Znajek Process in Quadratic Gravity
• Black hole jet power from impedance matching
• 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
• Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
• Magnetosphere structure of a Kerr black hole: marginally force-free equatorial boundary condition
• Force-free electrodynamics near rotation axis of a Kerr black hole
• Expanded solutions of force-free electrodynamics on general Kerr black holes
• Outgoing electromagnetic power induced from pair plasma falling into a rotating black hole
• Particle acceleration driven by null electromagnetic fields near a Kerr black hole