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Despite their potential importance for understanding astrophysical jets, physically realistic exact solutions for magnetospheres around Kerr black holes have not been found, even in the force-free approximation. Instead approximate…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Gianluca Grignani , Troels Harmark , Marta Orselli

Recently, it was claimed that accretion of electric charge by a black hole rotating in an aligned external magnetic field results in a "dead" vacuum magnetosphere, where the electric field is totally screened, no vacuum breakdown is…

High Energy Astrophysical Phenomena · Physics 2021-09-29 Serguei S. Komissarov

In this paper, we propose a general method for perturtative solutions to Blandford-Znajek mechanism. Instead of solving the nonlinear Grad-Shafranov equation directly, we introduce an alternative way to determine relevant physical…

High Energy Astrophysical Phenomena · Physics 2015-05-05 Zhen Pan , Cong Yu

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

A recent research presented a solution for a Schwarzschild black hole with a force-free magnetic field showing how the canonical form of background metric changes, Found. Phys. 52 (2022) 4, 93. Therefore, it is logical that this research…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Haidar Sheikhahmadi

In low-luminosity active galactic nuclei like M87* and Sgr A*, the accretion disk around the central supermassive black hole is tenuous and collisionless. As a result, the usual ideal magnetohydrodynamics (MHD) approximation may not be…

High Energy Astrophysical Phenomena · Physics 2026-02-26 John M. Mehlhaff , Alexander Y. Chen , Martin Luepker , Yajie Yuan

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 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

Black hole - accretion disc systems are the central engines of relativistic jets from stellar to galactic scales. We numerically quantify the unsteady outgoing Poynting flux through the horizon of a rapidly spinning black hole endowed with…

High Energy Astrophysical Phenomena · Physics 2020-07-15 J. F. Mahlmann , A. Levinson , M. A. Aloy

A shared property of several of the known exact solutions to the equations of force-free electrodynamics is that their charge-current four-vector is \textit{null}. We examine the general properties of null-current solutions and then focus…

General Relativity and Quantum Cosmology · Physics 2015-06-16 T. Daniel Brennan , Samuel E. Gralla , Ted Jacobson

The expulsion of axisymmetric magnetic field from the event horizons of rapidly rotating black holes has been seen as an astrophysically important effect that may significantly reduce or even nullify the efficiency of the Blandford-Znajek…

Astrophysics · Physics 2008-11-26 S. S. Komissarov , J. C. McKinney

We investigate a static, spherically symmetric black hole solution arising from Einstein gravity coupled to a confining nonlinear electrodynamics model that reproduces Maxwell theory in the strong-field regime while introducing…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Erdem Sucu , Izzet Sakallı , Orhan Donmez , G. Mustafa

The interaction of large scale magnetic fields with the event horizon of rotating black holes (the Blandford-Znajek [1977] mechanism) forms the basis for some models of the most relativistic jets. We explore a scenario in which the central…

High Energy Astrophysical Phenomena · Physics 2011-02-11 David Garofalo

Numerical simulations of the force-free magnetodynamics (FFMD) of the electromagnetic field around a spinning black hole are useful to investigate the dynamic electromagnetic processes around a spinning black hole, such as the emergence of…

High Energy Astrophysical Phenomena · Physics 2019-10-16 Shinji Koide , Tomoki Imamara

This is the second lecture of `RAGtime' series on electrodynamical effects near black holes. We will summarize the basic equations of relativistic electrodynamics in terms of spin-coefficient (Newman-Penrose) formalism. The aim of the…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Vladimir Karas

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

Relativistic jets from black holes can extract energy not only from accretion but also directly from the black hole's spin, as described by the Blandford-Znajek mechanism. A longstanding question is whether magnetic flux can accumulate near…

High Energy Astrophysical Phenomena · Physics 2026-02-27 Antonios Nathanail

This paper deals with the steady-state polytropic fluid accretion onto a higher-dimensional Reissner-Nordstr$\ddot{o}$m black hole. We formulate the generalized mass flux conservation equation, energy flux conservation and relativistic…

General Relativity and Quantum Cosmology · Physics 2016-05-11 M. Sharif , Sehrish Iftikhar

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 discuss the problem of the formation of a large-scale magnetic field in the accretion disks around black holes, taking into account the non-uniform vertical structure of the disk. The high electrical conductivity of the outer layers of…

High Energy Astrophysical Phenomena · Physics 2012-08-07 G. S. Bisnovatyi-Kogan , A. S. Klepnev , R. V. E. Lovelace
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