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Exact multicentered solutions to the governing equations of the Born--Infeld nonlinear theory of electrodynamics describing distributions of electric, magnetic, and dyonic point charge sources are constructed explicitly for the first time.…

Mathematical Physics · Physics 2023-09-28 Yisong Yang

We show that static sources coupled to a massless scalar field in Schwarzschild spacetime give rise to emission and absorption of zero-energy particles due to the presence of Hawking radiation. This is in complete analogy with the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 A. Higuchi , G. E. A. Matsas , D. Sudarsky

It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving…

High Energy Physics - Theory · Physics 2017-08-02 Ali Seraj

A new method to calculate the electric field inside a spherical shell with surface charge in terms of solid angle is presented. The integral can be readily carried out without invoking special functions typically used for this classical…

Classical Physics · Physics 2025-02-11 Fulin Zuo

A way to test electromagnetic field and spacetime properties around black holes is by considering the dynamics of test particles. In fact, in real astrophysical scenarios, it is hard to determine spacetime geometry which is dominating due…

General Relativity and Quantum Cosmology · Physics 2023-08-11 Farrux Abdulxamidov , Javlon Rayimbaev , Ahmadjon Abdujabbarov , Zdeněk Stuchlík

In this paper we have investigated the gravitational lensing phenomenon in the strong field regime for a regular, charged, static, non-linear black hole having a electrodynamics source. We have obtained the angle of deflection and compared…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Tuhina Manna , Farook Rahaman , Sabiruddin Molla , Jhumpa Bhadra , Hasrat Hussain Shah

In nonlinear electrodynamics, QED included, we find a static solution to the field equations with an electric charge as its source, which is comprised of homogeneous parallel magnetic and electric fields, and a radial…

High Energy Physics - Theory · Physics 2015-09-09 Tiago C. Adorno , Dmitry M. Gitman , Anatoly E. Shabad

We derive the Euler-Heisenberg solutions that describe electromagnetic waves propagating through very intense uniform magnetic or electric background, with the effective metric approach. We first explore the case of a magnetic background:…

High Energy Physics - Theory · Physics 2021-02-24 Elda Guzman-Herrera , Nora Breton

After a brief review of the foundations of (pre-metric) electromagnetism, we explore some physical consequences of electrodynamics in curved spacetime. In general, new electromagnetic couplings and related phenomena are induced by the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Francisco Cabral , Francisco S. N. Lobo

We discuss some elementary examples of interactions (at low velocity) between point charges and magnetic dipoles using potentials, along the lines indicated by Konopinsky, and show that the physical interpretation might look quite different…

Classical Physics · Physics 2014-03-11 R. Coïsson

The electrostatic potential of any test charge distribution in Schwarzschild space with boundary values is derived. We calculate the Green's function, generalize the second Green's identity for p-forms and find the general solution.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Pal G. Molnar

We analyze the electromagnetic scattering of massive particles with and without spin wherein one particle (or both) is electrically neutral. Using the techniques of effective field theory, we isolate the leading long distance effects, both…

High Energy Physics - Phenomenology · Physics 2010-03-25 Barry R. Holstein

Scattering of nonstationary electromagnetic fields from axially symmetrical bodies is numerically investigated. Simulations are performed using the time- and frequency-domain approaches. Computational results obtained for a finite perfectly…

Mathematical Physics · Physics 2007-05-23 I. G. Efimova

We study the electric field around a continuous one-dimensional loop of static charge, under the assumption that the charge is distributed uniformly along the loop. For rectangular or stadium-shaped loops in the plane, we find that the…

Dynamical Systems · Mathematics 2022-09-20 Max Lipton , Steven H Strogatz , Alex Townsend

We obtain exact analytic expressions for (i) the electromagnetic energy radial density within and outside a multilayered sphere and (ii) the total electromagnetic energy stored within its core and each of its shells. Explicit expressions…

Optics · Physics 2019-09-20 Ilia L. Rasskazov , Alexander Moroz , P. Scott Carney

We discuss the Gupta-Bleuler quantization of the free electromagnetic field outside static black holes in the Boulware vacuum. We use a gauge which reduces to the Feynman gauge in Minkowski spacetime. We also discuss its relation with…

General Relativity and Quantum Cosmology · Physics 2014-11-17 L. C. B. Crispino , A. Higuchi , G. E. A. Matsas

We study second-order electromagnetic perturbations in the Schwarzschild background and derive the effective source terms for Regge-Wheeler equation which are quadratic in first-order gravitational and electromagnetic perturbations. In…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Fawzi Aly , Mahmoud A. Mansour , Dejan Stojkovic

We present a theoretical study of the magnetic field generated by a toroidal current loop situated in the equatorial plane of a non-rotating Schwarzschild black hole, based on the dynamics of charged particles. Using the exact general…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Martin Kološ , David Kofroň

Slow magnetic field variations in stars and planets create a quasistationary electrical field which may be observed. It is supposed that the electrical field near the Earth surface may be partially connected with variation of the Earth…

Astrophysics · Physics 2007-05-23 G. S. Bisnovatyi-Kogan

The axiomatic structure of the electromagnetic theory is outlined. We will base classical electrodynamics on (1) electric charge conservation, (2) the Lorentz force, (3) magnetic flux conservation, and (4) on the Maxwell-Lorentz spacetime…

Classical Physics · Physics 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov