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We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with a basis of electromagnetic knots generated by the so-called…

Mathematical Physics · Physics 2023-05-08 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa

This paper is devoted to presenting a rigorous mathematical derivation for the classical phenomenon in Maxwell's theory that a charged particle moves along a straight line in a constant electromagnetic field if the initial velocity is…

Analysis of PDEs · Mathematics 2025-04-01 Shuang Miao , Shiwu Yang , Pin Yu

Transport properties of degenerate relativistic electrons along quantizing magnetic fields in neutron star crusts are considered. A kinetic equation is derived for the spin polarization density matrix of electrons. Its solution does not…

Astrophysics · Physics 2011-05-23 A. Y. Potekhin

We summarize a recent work on the title subject, skipping the detailed calculations but introducing the basic points with enough detail. The theory considered is formulated in a preferred reference frame in a four-dimensional spacetime…

General Physics · Physics 2017-10-18 Mayeul Arminjon

We have investigated the acceleration of the unbound high energy particles moving along the rotation axis in the Kerr-Taub-NUT spacetime, and then study the dependence of the repulsive effects on the NUT charge for the particles in the…

General Relativity and Quantum Cosmology · Physics 2018-03-30 Lu Zhang , Songbai Chen , Jiliang Jing

The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Bobir Toshmatov , Ozodbek Rahimov , Bobomurat Ahmedov , Daniele Malafarina

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 I. B. Khriplovich , A. A. Pomeransky

The motion of a charged particle moving on a flat surface is studied through the constants of motion associated to the system, given the magnetic gauge. The usual Landau' solution and the non separable solution for the Landau's gauge are…

Quantum Physics · Physics 2025-01-28 Gustavo V. López , Jorge A. Lizarraga

Dynamics of spin-polarized neutral particles, such as neutrons or neutral atoms and molecules, in magnetic fields is studied. A new regime of motion is found where particles move mainly in one direction forming a well-collimated beam. This…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , E. P. Yukalova

We consider the electromagnetic field occurring in the background of a static, axially symmetric vacuum solution of Einstein's field equations immersed in an external magnetic field. The solution, known as the $\gamma$ metric (or…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Carlos A. Benavides-Gallego , Ahmadjon Abdujabbarov , Daniele Malafarina , Bobomurat Ahmedov , Cosimo Bambi

We study a rotating black hole with anisotropic matter and electromagnetic fields. We show that the electromagnetic field has the same form as the corresponding one in the Kerr-Newman geometry. The reason is thanks to the specific form of…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Hyeong-Chan Kim , Bum-Hoon Lee , Wonwoo Lee , Youngone Lee

We investigate the emission of rotating magnetized neutron stars due to the acceleration and radiation of particles in the relativistic wind and in the magnetotail of the star. We consider that the charged particles are accelerated by…

Astrophysics · Physics 2009-11-11 M. M. Romanova , G. A. Chulsky , R. V. E. Lovelace

Soft Gamma-Ray Repeaters and Anomalous X-Ray Pulsars are extreme manifestations of the most magnetized neutron stars: magnetars. The phenomenology of their emission and spectral properties strongly support the idea that the magnetospheres…

High Energy Astrophysical Phenomena · Physics 2015-06-23 A. G. Pili , N. Bucciantini , L. Del Zanna

An important issue in the asteroseismology of compact and magnetized stars is the determination of the dissipation mechanism which is most efficient in damping the oscillations when these are produced. In a linear regime and for…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Luciano Rezzolla , Bobomurat J. Ahmedov

We find numerical solutions of the coupled system of Einstein-Maxwell's equations with a linear approach, in which the magnetic field acts as a perturbation of a spherical neutron star. In our study, magnetic fields having both poloidal and…

Astrophysics · Physics 2009-11-13 A. Colaiuda , V. Ferrari , L. Gualtieri , J. A. Pons

Neutron stars can harbor extremely strong magnetic fields, yet the structure and stability of their magnetic field configuration remain poorly understood. Observations of pulsars indicate that the large-scale external field is predominantly…

High Energy Astrophysical Phenomena · Physics 2026-05-25 Aurora Capobianco , William Cook , Sebastiano Bernuzzi , Brynmor Haskell , Jacob Fields

Relativistic effects of compact objects onto electromagnetic fields in their vicinity are investigated using the test-field approximation. In particular, we study the possible emergence of magnetic null points which are astrophysically…

High Energy Astrophysical Phenomena · Physics 2019-02-27 Ondřej Kopáček , Tayebeh Tahamtan , Vladimír Karas

A family of models of counterrotating and rotating relativistic thin discs of infinite extension based on a charged and magnetized Kerr-NUT metric are constructed using the well-known "displace, cut and reflect" method extended to solutions…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Gonzalo García-Reyes , Guillermo A. González

According to the classical Einstein-Maxwell theory of gravity and electromagnetism, a light-wave traveling in empty space-time is accompanied by a gravitational field of the pp-type. Therefore point masses are scattered by a light wave,…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. W. van Holten

Previous work on exact solutions has been shown that sources need to be appended to the field equation of Einstein's unified field theory in order to achieve physically meaningful results,such sources can be included in a variational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. N. Pandey , B. K. Sinha , Raj Kumar