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

Abstract

We reinvestigate the structure of a steady axisymmetic force-free magnetosphere around a Kerr black hole (BH). The BH magnetosphere structure is governed by a second-order differential equation of $A_{\varphi }$ depending on two `free' functions $\Omega$ and $I$, where $A_{\varphi }$ is the $\varphi$ component of the vector potential of the electromagnetic field, $\Omega$ is the angular velocity of the magnetic field lines and $I$ is the poloidal electric current. While the two functions $\Omega$ and $I$ are not arbitrarily given, which need to be self-consistently determined along with the differential equation. Based on the perturbation approach we proposed in paper I \citep{Pan2015a}, in this paper, we self-consistently sort out two boundary conditions governing $\Omega$ and $I$, and interpret these conditions mathematically and physically. Making use of the boundary conditions, we prove that all magnetic field lines crossing the infinite-redshift surface also penetrate the event horizon. Furthermore, we argue that the BH Meissner effect does not work in force-free magnetosphere due to the perfect conductivity.

ApJ in press

References in corpus (6)

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• "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
• Black Hole Magnetospheres
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• 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
• 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
• A mathematical form of force-free magnetosphere equation around Kerr black holes and its application to Meissner effect
• Selected Chapters on Active Galactic Nuclei as Relativistic Systems
• Electrically-charged black holes and the Blandford-Znajek mechanism
• Particle acceleration driven by null electromagnetic fields near a Kerr black hole