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By constructing a model of spacetime having a strong curvature singularity in which causal geodesics are complete, but more generic causal curves are not, we explicitly show that some electrostatic field configurations on that background…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Franco Fiorini , Juan Manuel Paez

We consider the particle-antiparticle pairs produced by both a strong electric field and de Sitter curvature. We investigate in 1 + 1 D the backreaction of the pairs on the electromagnetic field. To do so we describe the canonical…

High Energy Physics - Theory · Physics 2016-07-15 Clément Stahl , She-Sheng Xue

Maxwell Electrodynamics can be described either in Minkowski space-time or in a dynamically equivalent way in a curved geometry constructed in terms of the electromagnetic field. For this the field must have a superior bound limited by a…

General Relativity and Quantum Cosmology · Physics 2016-11-18 M. Novello , C. E. L. Ducap

Inspired by large applications of topological defects in describing different phenomena in physics, and considering the importance of three dimensional solutions in AdS/CFT correspondence, in this paper we obtain magnetic anti-de Sitter…

High Energy Physics - Theory · Physics 2015-09-29 S. H. Hendi , B. Eslam Panah , M. Momennia , S. Panahiyan

Building upon the methods used recently, we establish the inexistence of self-gravitating solitonic solutions for both static and strictly stationary asymptotically flat spacetimes in generalised axion electrodynamics. This is an…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Carlos A. R. Herdeiro , João M. S. Oliveira

In this paper we discuss global existence of the solution of the Maxwell and Newton system of equations, describing the interaction of a rigid charge distribution with the electromagnetic field it generates. A unique solution is proved to…

Analysis of PDEs · Mathematics 2014-11-24 Marco Falconi

We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Kozameh , Florencia Parisi

The self force of electrodynamics is derived from a scalar field. The resulting equation of motion is free of all of the problems that plague the Lorentz Abraham Dirac equation. The age-old problem of a particle in a constant field is…

Classical Physics · Physics 2015-05-30 Richard T Hammond

The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of…

Classical Physics · Physics 2013-04-15 Markus Lazar

We show that, given any static spacetime whose spatial slices are asymptotically Euclidean (or, more generally, asymptotically conic) manifolds modeled on the large end of the Schwarzschild exterior, there exist stationary solutions to the…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Ethan Sussman

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Roland A. Puntigam , Claus Lämmerzahl , Friedrich W. Hehl

A method to study electromagnetic (EM) effects generated by a straight null cosmic string moving in classical EM fields is suggested. The string is shown to induce an additional EM field which can be described as a solution to homogeneous…

General Relativity and Quantum Cosmology · Physics 2023-02-15 D. V. Fursaev , I. G. Pirozhenko

It is shown that geometric optical description of electromagnetic wave with account of its polarization in curved space-time can be obtained straightforwardly from the classical variational principle for electromagnetic field. For this end…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Z. Ya. Turakulov , A. T. Muminov

We first write down a very general description of nonlinear classical electrodynamics, making use of generalized constitutive equations and constitutive tensors. Our approach includes non-Lagrangian as well as Lagrangian theories, allows…

High Energy Physics - Theory · Physics 2008-11-26 Steven Duplij , Gerald A. Goldin , Vladimir M. Shtelen

Asymptotic fields do not exist in theories with massless particles and fields, because the vacuum matrix elements of products of the interacting fields in such theories do not have delta function or principal value singularities in momentum…

High Energy Physics - Phenomenology · Physics 2012-08-13 O. W. Greenberg , Steve Cowen

We consider arbitrary stationary and axisymmetric black holes in general relativity in $(d +1)$ dimensions (with $d \geq 3$) that satisfy the vacuum Einstein equation and have a non-degenerate horizon. We prove that the canonical energy of…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Kartik Prabhu , Robert M. Wald

Force-free electrodynamics is the theoretical paradigm used to describe electromagnetic fields in a region where the inertia of plasma is negligible compared to the strength of the electromagnetic field. While these fields are studied…

General Relativity and Quantum Cosmology · Physics 2024-03-18 Rakshak Adhikari , Govind Menon , Mikhail V. Medvedev

Gauge transformations are potential transformations that leave only specific Maxwell fields invariant. To reveal more, I develop Lorenz field equations with full Maxwell form for nongauge, sans gauge function, transformations yielding…

General Physics · Physics 2008-12-16 H. C. Potter

We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an interaction defined by the Groenewold-Moyal…

High Energy Physics - Theory · Physics 2009-11-10 E. Langmann , R. J. Szabo , K. Zarembo

In this paper we present eight-component values "octons", generating associative noncommutative algebra. It is shown that the electromagnetic field in a vacuum can be described by a generalized octonic equation, which leads both to the wave…

Mathematical Physics · Physics 2014-06-27 Victor L. Mironov , Sergey V. Mironov
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