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The Blandford-Znajek constraint equation for a stationary, axisymmetric black-hole force-free magnetosphere is cast in a 3+1 absolute space and time formulation, following Komissarov (2004). We derive an analytic solution for fields and…

Astrophysics · Physics 2009-11-13 Govind Menon , Charles D. Dermer

We study force-free magnetospheres in the Blandford-Znajek process from rapidly rotating black holes by adopting the near-horizon geometry of near-extreme Kerr black holes (near-NHEK). It is shown that the Znajek regularity condition on the…

General Relativity and Quantum Cosmology · Physics 2015-07-22 Huiquan Li , Cong Yu , Jiancheng Wang , Zhaoyi Xu

We revisit the Blandford & Znajek (1977) process and solve the fundamental equation that governs the structure of the steady-state force-free magnetosphere around a Kerr black hole. The solution depends on the distributions of the magnetic…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Ioannis Contopoulos , Demosthenes Kazanas , Demetrios B. Papadopoulos

We obtain analogs of the Blandford-Znajek split monopole solution for force-free magnetospheres around a slowly rotating Kerr-AdS black hole. For small black holes, we find an analytic solution to first order in the ratio of horizon radius…

High Energy Physics - Theory · Physics 2014-06-11 Xun Wang , Adam Ritz

Force-free magnetospheres are of particular interest due to their role in energy extraction from Kerr black holes via the Blandford-Znajek process. Recently, a class of exact analytic solutions has been found with null currents [1,2]. In…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Xun Wang

We present a new analytic model of a force-free electromagnetic jet launched from a disk-fed rotating black hole. The jet solution is force-free to first order in the black hole spin and is obtained through a systematic construction based…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Luis Villarin , Ian Vega

We quantitatively study the stationary, axisymmetric, force-free magnetospheres of spinning (Kerr) black holes (BHs) and the conditions needed for relativistic jets to be powered by the Blandford-Znajek mechanism. These jets could be from…

High Energy Astrophysical Phenomena · Physics 2018-10-03 Alexander L. Ford , Brett D. Keenan , Mikhail V. Medvedev

Recently the first real image of the supermassive black hole at the heart of the galaxy M87 successfully has been captured. To explain the behavior of both the observed powerful jets and the electromagnetic accretion disk the Blandford…

General Relativity and Quantum Cosmology · Physics 2020-02-25 Haidar Sheikhahmadi

The possibility of extracting energy from a rotating black hole via the Blandford-Znajek mechanism represents a cornerstone of relativistic astrophysics. We present general-relativistic collisionless kinetic simulations of Kerr black-hole…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Claudio Meringolo , Filippo Camilloni , Luciano Rezzolla

We consider force-free magnetospheres around the extreme Kerr black hole. In this case there is no known exact analytic solution to force free electrodynamics which is stationary, axisymmetric and magnetically-dominated. However, any…

General Relativity and Quantum Cosmology · Physics 2020-11-02 F. Camilloni , G. Grignani , T. Harmark , R. Oliveri , M. Orselli

The Blandford-Znajek monopole is a conjectured solution of force-free electrodynamics in the vicinity of a slowly rotating Kerr black hole, supposedly defined as a perturbation in small angular momentum. It is used to argue for the…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Gianluca Grignani , Troels Harmark , Marta Orselli

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…

High Energy Astrophysical Phenomena · Physics 2015-10-14 Zhen Pan , Cong Yu

Numerical simulations combined with simple analytical arguments are used to reach a number of important conclusions on the nature of the Blandford-Znajek mechanism. We show that, just like in the Penrose mechanism and in the MHD models of…

Astrophysics · Physics 2009-11-10 S. S. Komissarov

We analyze the dynamical evolution of a perturbed force-free magnetosphere of a rotating black hole, which is described by the Blandford-Znajek solution in the stationary limit. We find that the electromagnetic field perturbations can be…

High Energy Astrophysical Phenomena · Physics 2014-11-26 Huan Yang , Fan Zhang

Analytical solutions to force-free electrodynamics around black holes are fundamental for building simple models of accretion disk and jet dynamics. We present a (nonexhaustive) classification of complex highest-weight solutions to the…

High Energy Physics - Theory · Physics 2016-03-15 G. Compère , R. Oliveri

The ability of a plasma surrounding spinning black holes to extract rotational energy and power energetic emissions has been recognized as a key astrophysical phenomenon. Important insights into the nature of this process are obtained…

High Energy Astrophysical Phenomena · Physics 2016-12-30 Fan Zhang , Huan Yang , Luis Lehner

We present analytic force-free solutions modeling rotating stars and black holes immersed in the magnetic field of a thin disk that terminates at an inner radius. The solutions are exact in flat spacetime and approximate in Kerr spacetime.…

General Relativity and Quantum Cosmology · Physics 2016-02-18 Samuel E. Gralla , Alexandru Lupsasca , Maria J. Rodriguez

We propose a new approach to find magnetically-dominated force-free magnetospheres around highly spinning black holes, relevant for models of astrophysical jets. Employing the near-horizon extreme Kerr (NHEK) limit of the Kerr black hole,…

General Relativity and Quantum Cosmology · Physics 2021-03-17 F. Camilloni , G. Grignani , T. Harmark , R. Oliveri , M. Orselli

One of the mechanisms widely considered for driving relativistic jets in active galactic nuclei, galactic microquasars, and gamma-ray bursts is the electromagnetic extraction of the rotational energy of a central black hole, i.e., the…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Kenji Toma , Fumio Takahara

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…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Govind Menon , Charles D. Dermer
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