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The Maxwell theory on non-commutative spaces has been considered. The non-linear equations of electromagnetic fields on non-commutative spaces were obtained in the compact spin-tensor (quaternion) form. It was shown that the plane…

High Energy Physics - Theory · Physics 2007-05-23 S. I. Kruglov

We report on a remarkable class of exact solutions to force-free electrodynamics that has four-current along the light cones of an arbitrary timelike worldline in flat spacetime. No symmetry is assumed, and the solutions are given in terms…

High Energy Astrophysical Phenomena · Physics 2015-06-17 T. Daniel Brennan , Samuel E. Gralla

We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (constant and homogeneous) magnetic field in the vacuum. The…

High Energy Physics - Theory · Physics 2014-04-25 T. C. Adorno , D. M. Gitman , A. E. Shabad

We find first nonlinear correction to the field, produced by a static charge at rest in a background constant magnetic field. It is quadratic in the charge and purely magnetic. The third-rank polarization tensor - the nonlinear response…

High Energy Physics - Theory · Physics 2013-07-08 Dmitry M. Gitman , Anatoly E. Shabad

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

Pulsar spindown forms a reliable yet enigmatic prototype for the energy loss processes in many astrophysical objects including accretion disks and back holes. In this paper we review the physics of pulsar magnetospheres, concentrating on…

Astrophysics · Physics 2009-11-11 Anatoly Spitkovsky

We find third-power nonlinear corrections to the Coulomb and other static electric fields, as well as to the electric and magnetic dipole fields, as we work within QED with no background field. The nonlinear response function we base our…

High Energy Physics - Theory · Physics 2013-10-30 Caio V. Costa , Dmitry M. Gitman , Anatoly E. Shabad

Based on the exact dipolar solution of the pulsar equation the self-consistent two-fluid model of the pulsar magnetosphere is developed. We concentrate on the low-mass limit of the model, taking into account the radiation damping. As a…

High Energy Astrophysical Phenomena · Physics 2017-05-31 S. A. Petrova

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

In this poster we present the structure of an axisymmetric, force-free magnetosphere of a twisted, aligned rotating dipole within a corotating plasma-filled magnetosphere. We explore various profiles for the twist. We find that as the…

High Energy Astrophysical Phenomena · Physics 2023-03-15 Dimitris Ntotsikas , Konstantinos N. Gourgouliatos

I review the theoretical understanding of the global structure of pulsar magnetospheres concentrating on recent progress in force-free electrodynamics and first-principles simulations of magnetospheres.

Astrophysics · Physics 2007-05-23 Anatoly Spitkovsky

Pulsar magnetospheres are shaped by ultra-relativistic electron/positron plasmas flowing in a strong magnetic field and subject to strong gravitational fields. The former induces magnetospheric currents and space charges responsible for the…

High Energy Astrophysical Phenomena · Physics 2015-12-09 J. Petri

The non-dissipative relativistic force-free condition should be a good approximation to describe the electromagnetic field in much of the pulsar magnetosphere, but we may plausibly expect it to break down in singular domains.…

Astrophysics · Physics 2009-11-10 Simon P. Goodwin , Jonathan Mestel , Leon Mestel , Geoffrey A. E. Wright

We consider the force-free magnetosphere of an aligned rotator. Its structure is well described by a Grad-Shafranov equation for poloidal magnetic field, the so-called "pulsar equation". We solve this equation by a multigrid method with…

Astrophysics · Physics 2009-11-13 Andrey Timokhin

The luminosity and structure of neutron star magnetospheres are crucial to our understanding of pulsar and plerion emission. A solution found using the force-free approximation would be an interesting standard with which any model with more…

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

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

With the neutron star rotating under a stationary magnetic field generating unipolar induction, charges are driven to the pulsar surface according to their signs, and are uploaded to the magnetosphere along the magnetic field lines. In the…

High Energy Astrophysical Phenomena · Physics 2021-12-20 K. H. Tsui

We consider the quantum mechanics of a spinless charged particle on a 2-dimensional sphere. When threaded with a magnetic monopole field, this is the well-known Haldane sphere that furnishes a translationally-invariant, incompressible…

High Energy Physics - Theory · Physics 2018-11-09 Jeff Murugan , Jonathan P. Shock , Ruach Pillay Slayen

Based on the analysis of biquaternion quadratic forms of field, it is shown that Maxwell equations arise as a consequence of the principle of conservation of the energy-momentum flow of field in space-time. It turns out that this principle…

Classical Physics · Physics 2024-03-05 Sergey Y. Kotkovskiy

Magnetospheric twists, that is magnetospheres with a toroidal component, are under scrutiny due to the key role the twist is believed to play in the behaviour of neutron stars. Notably, its dissipation is believed to power magnetar…

Plasma Physics · Physics 2026-02-06 Guillaume Voisin