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This paper describes the electrodynamics of a null and force-free field in completely geometric terms. As was previously established in \cite{Menon_FF20}, solutions to force-free electrodynamics are governed by the existence of certain…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Govind Menon

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

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

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

General relativistic force-free electrodynamics is one possible plasma-limit employed to analyze energetic outflows in which strong magnetic fields are dominant over all inertial phenomena. The amazing images of black hole shadows from the…

Computational Physics · Physics 2021-03-09 J. F. Mahlmann , M. A. Aloy , V. Mewes , P. Cerdá-Durán

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

Force-free electrodynamics describes the electromagnetic field of the magnetically dominated plasma found near pulsars and active black holes, but gives no information about the underlying particles that ultimately produce the observable…

High Energy Astrophysical Phenomena · Physics 2025-11-05 Morifumi Mizuno , Samuel E. Gralla , Alexander Philippov

Electromagnetic field configurations with vanishing Lorentz force density are known as force-free and appear in terrestrial, space, and astrophysical plasmas. We explore a general method for finding such configurations based on formulating…

Mathematical Physics · Physics 2017-10-31 Geoffrey Compère , Samuel E. Gralla , Alexandru Lupsasca

It is shown that force-free electrodynamics (FFE) breaks down in regions where $B^2 -E^2 <0$ (electric zones) even if $\pmb{E}\cdot\pmb{B} =0$. Spontaneous creation of such regions will inevitably lead to plasma oscillations that will…

High Energy Astrophysical Phenomena · Physics 2022-10-05 Amir Levinson

Electromagnetic fields which solve the vacuum Maxwell equations in one spacetime are well-known to also be solutions in all spacetimes with conformally-related metrics. This provides a sense in which electromagnetism alone cannot be used to…

General Relativity and Quantum Cosmology · Physics 2017-04-13 Abraham I. Harte

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

We study relativistically expanding electromagnetic fields of cylindrical geometry. The fields emerge from the side surface of a cylinder and are invariant under translations parallel to the axis of the cylinder. The expansion velocity is…

High Energy Astrophysical Phenomena · Physics 2015-05-13 K. N. Gourgouliatos

The near-horizon region of magnetically charged black holes can have very strong magnetic fields. A useful low-energy effective theory for fluctuations of the fields, coupled to electrically charged particles, is force-free electrodynamics.…

High Energy Physics - Theory · Physics 2022-03-09 Nabil Iqbal , Simon F. Ross

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

It is shown that conformal symmetry exists in force-free electrodynamics (FFE) in Minkowski spacetime, a foundational framework for describing magnetospheres around astronomical objects. In force-free magnetospheres, charges are constrained…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Huiquan Li , Jianyong Wang

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

In this paper we formulate the relationship between force-free electrodynamics and foliations. The background metric, is considered predetermined and electrically neutral, but otherwise arbitrary. As it turns out, solutions to force-free…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Govind Menon

The Magnetodynamics, or Force-Free Degenerate Electrodynamics, is recognized as a very useful approximation in studies of magnetospheres of relativistic stars. In this paper we discuss various forms of Magnetodynamic equations which can be…

High Energy Astrophysical Phenomena · Physics 2015-05-30 S. S. Komissarov

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
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