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In this paper, we present a covariant formalism that connects solutions to force-free electrodynamics in the non-null case and foliations of spacetime. In doing so, we are also able to derive an expression of the general non-null current…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Govind Menon

Maxwell and Dirac fields in Friedmann-Robertson-Walker spacetime is investigated using the Newman-Penrose method. The variables are all separable, with the angular dependence given by the spin-weighted spherical harmonics. All the radial…

Astrophysics · Physics 2009-11-13 U. Khanal

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

Attempts at an electromagnetic explanation of the inertial mass of charged particles have recently been revived within the framework of Stochastic Electrodynamics, characterized by the adoption of a classical version of the electromagnetic…

General Physics · Physics 2007-05-23 Michael Ibison

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

The force free approximation is often useful when describing tenuous plasmas in strong cosmic magnetic fields. Time evolution of any such system is governed by the information that can be transported along the characteristics of the plasma…

Astrophysics · Physics 2009-11-07 Brian Punsly

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

Electromagnetic fields of a massless charged particle are described by a gauge potential that is almost everywhere pure gauge. Solution of quantum mechanical wave equations in the presence of such fields is therefore immediate and leads to…

High Energy Physics - Theory · Physics 2016-04-20 Roman Jackiw , Dan Kabat , Miguel Ortiz

Force-Free Electrodynamics for black holes in Anti de Sitter is considered. We present new, energy extracting solutions of Force-Free Electrodynamics in Anti de Sitter - Near Horizon Extremal Kerr and Super-Entropic Near Horizon Extremal…

High Energy Physics - Theory · Physics 2020-12-30 Nele Callebaut , Maria J. Rodriguez , Herman Verlinde

This work introduces a systematic method for identifying analytical and semi-analytical solutions of force-free magnetic fields with plane-parallel and axial symmetry. The method of separation of variables is used, allowing the…

High Energy Astrophysical Phenomena · Physics 2025-01-28 Konstantinos N. Gourgouliatos

The force-free limit of magnetohydrodynamics (MHD) is often a reasonable approximation to model black hole and neutron star magnetospheres. We describe a general relativistic force-free (GRFFE) formulation that allows general relativistic…

Astrophysics · Physics 2009-11-11 Jonathan C. McKinney

The interaction of black holes with ambient magnetic fields is important for a variety of highly energetic astrophysical phenomena. We study this interaction within the force-free approximation in which a tenuous plasma is assumed to have…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Carlos Palenzuela , Travis Garrett , Luis Lehner , Steven L. Liebling

The recent method of the description of classical fields in terms of Lagrange-Souriau form is applied to the case of source-free electromagnetic field in order to check its computational capabilities. The relevant calculations are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Tertychniy

We show that FFE (Force-Free Electrodynamics) describes pulsar magnetospheres -- even when radiation and particle wind power are comparable to the spin-down power. At the same time, we show that FFE is insufficient for calculating pulsar…

Astrophysics · Physics 2007-05-23 Andrei Gruzinov

This paper provides an analytical examination of non-radial geodesics within the context of the spatially flat Friedmann Lema\^itre Robertson Walker (FLRW) spacetime. Using the symmetry properties of the system, two constants of motion…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Omar Nemoul , Hichem Guergouri , Jamal Mimouni

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

Here we present a systematic study of force-free field equation for simple axisymmetric configurations in spherical geometry. The condition of separability of solutions in radial and angular variables leads to two classes of solutions:…

Solar and Stellar Astrophysics · Physics 2014-04-03 A. Prasad , A. Mangalam

A force-free surface (FFS) ${\cal S}$ is a sharp boundary separating a void from a region occupied by a charge-separated force-free plasma. It is proven here under very general assumptions that there is on ${\cal S}$ a simple relation…

Solar and Stellar Astrophysics · Physics 2010-05-27 Jean-Jacques Aly

The structure and dynamics of the solar corona is dominated by the magnetic field. In most areas in the corona magnetic forces are so dominant that all non-magnetic forces like plasma pressure gradient and gravity can be neglected in the…

Solar and Stellar Astrophysics · Physics 2021-03-24 Thomas Wiegelmann , Takashi Sakurai

Eulerian electrostatic kinetic simulations of unmagnetized plasmas (kinetic electrons and motionless protons) with high-frequency equilibrium perturbations have been employed to investigate the phase space free energy transfer across…

Plasma Physics · Physics 2023-10-12 G. Celebre , S. Servidio , F. Valentini