Jet Formation in the magnetospheres of supermassive black holes: analytic solutions describing energy loss through Blandford-Znajek processes

Abstract

In this paper, we provide exact solutions for the extraction of energy from a rotating black hole via both the electromagnetic Poynting flux and matter currents. By appropriate choice of a radially independent poloidal function $\Lambda (\theta )$, we find solutions where the dominant outward energy flux is along the polar axis, consistent with a jet-like collimated outflow, but also with a weaker flux of energy along the equatorial plane. Unlike all the previously obtained solutions (Blandford & Znajek (1977), Menon & Dermer (2005)), the magnetosphere is free of magnetic monopoles everywhere.

References in corpus (5)

• Total and Jet Blandford-Znajek Power in Presence of Accretion Disk
• Electrodynamics of black hole magnetospheres
• Analytic Solutions to the Constraint Equation for a Force-Free Magnetosphere around a Kerr Black Hole
• Pulsar Magnetosphere: Variation Priciple, Singularities, Estimate of Power
• Timelike Geodesic Currents in the Stationary, Axisymmetric, Force-free Magnetosphere of a Kerr Black Hole

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• Spacetime approach to force-free magnetospheres
• Exact Solutions to Force-Free Electrodynamics in Black Hole Backgrounds
• Electromotive Force in the Blandford-Znajek Process
• Near-horizon Extreme Kerr Magnetospheres
• Analytic properties of force-free jets in the Kerr spacetime -- III: uniform field solution
• Force-free Currents and the Newman-Penrose Tetrad of a Kerr Black Hole: Exact Local Solutions
• Stability of exact force-free electrodynamic solutions and scattering from spacetime curvature
• Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
• Force-free magnetosphere on near-horizon geometry of near-extreme Kerr black holes
• Force-free magnetosphere attractors for near-horizon extreme and near-extreme limits of Kerr black hole
• Expanded solutions of force-free electrodynamics on general Kerr black holes
• Local, Non-Geodesic, Timelike Currents in the Force-Free Magnetosphere of a Kerr Black Hole
• Particle acceleration driven by null electromagnetic fields near a Kerr black hole