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Related papers: Exact Solutions for Extreme Black Hole Magnetosphe…

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Force-Free Electrodynamics (FFE) is known to describe the highly magnetized plasma around pulsars and astrophysical black holes. The equations describing FFE are highly non-linear and the task of finding a well-defined analytical solution…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Rakshak Adhikari , Govind Menon , Mikhail V. Medvedev

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

Plasma-filled magnetospheres can extract energy from a spinning black hole and provide the power source for a variety of observed astrophysical phenomena. These magnetospheres are described by the highly nonlinear equations of force-free…

High Energy Physics - Theory · Physics 2015-03-20 Alexandru Lupsasca , Maria J. Rodriguez , Andrew Strominger

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 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

Force-Free Electrodynamics (FFE) describes a particular regime of magnetically dominated relativistic plasmas, which arises on several astrophysical scenarios of interest such as pulsars or active galactic nuclei. In this article, we…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Federico Carrasco , Oscar Reula

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

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

The dynamics of highly magnetized plasmas in extreme astrophysical environments are effectively modeled by Force-Free Electrodynamics (FFE), a framework essential for studying objects like neutron stars and accreting black holes. The…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Rakshak Adhikari

The theory of Force-Free Electrodynamics (FFE) provides a robust framework for modeling the magnetospheres of compact objects, where the electromagnetic field's energy density dominates the surrounding plasma. Central to this theory is the…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Govind Menon , Rakshak Adhikari

In this work, expanded solutions of force-free magnetospheres on general Kerr black holes are derived through a radial distance expansion method. From the regular conditions both at the horizon and at spatial infinity, two previously known…

High Energy Astrophysical Phenomena · Physics 2017-08-02 Huiquan Li , Jiancheng Wang

We investigate static and rotating charged spherically symmetric solutions in the framework of $f({\cal R})$ gravity, allowing additionally the electromagnetic sector to depart from linearity. Applying a convenient, dual description for the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 G. G. L. Nashed , Emmanuel N. Saridakis

Force-free electrodynamics (FFE) is a closed set of equations for the electromagnetic field of a magnetically dominated plasma. There are strong arguments for the existence of force-free plasmas near pulsars and active black holes, but FFE…

High Energy Physics - Theory · Physics 2019-05-22 Samuel E. Gralla , Nabil Iqbal

Force-Free Electrodynamics (FFE) describes magnetically dominated relativistic plasma via non-linear equations for the electromagnetic field alone. Such plasma is thought to play a key role in the physics of pulsars and active black holes.…

High Energy Astrophysical Phenomena · Physics 2024-08-05 Samuel E. Gralla , Ted Jacobson

Recently, a family of exact force-free electrodynamic (FFE) solutions was given by Brennan, Gralla and Jacobson, which generalizes earlier solutions by Michel, Menon and Dermer, and other authors. These solutions have been proposed as…

General Relativity and Quantum Cosmology · Physics 2015-08-03 Fan Zhang , Sean T. McWilliams , Harald P. Pfeiffer

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

Force-Free Flectrodynamics (FFE) is a non-linear system of equations modeling the evolution of the electromagnetic field, in the presence of a magnetically dominated relativistic plasma. This configuration arises on several astrophysical…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Federico Carrasco , Oscar Reula

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

A static, asymptotically flat, spherically symmetric solutions is investigated in f(R) theories of gravity for a charged black hole. We have studied the weak field limit of f(R) gravity for the some f(R) model such as f(R) = R + epsilon…

General Relativity and Quantum Cosmology · Physics 2011-09-13 A. Aghamohammadi , Kh. Saaidi , M. R. Abolhasani , A. Vajdi

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang
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