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We obtain the fields and electromagnetic self-force of a charge distributed on the surface of a sphere undergoing rigid motion at constant proper acceleration, where the charge distribution has axial symmetry about the direction of motion.…

Classical Physics · Physics 2018-09-28 Andrew Steane

We construct and analyze a class of static spherically symmetric spacetimes in general relativity sourced exclusively by classical electrostatic configurations. Using a spherically symmetric Painlev\'e-Gullstrand-like metric with unit lapse…

General Relativity and Quantum Cosmology · Physics 2025-12-19 G. Abellán , N. Bolívar , I. Vasilev

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

We derive Maxwell equations for electric and magnetic fields in curved spacetime from first principles, relaxing an unnecessary assumption on the structure of the four-potential inherent to the standard approach and thus restoring the full…

High Energy Physics - Phenomenology · Physics 2023-10-13 Anton V. Sokolov

We describe a class of unified theories of electromagnetism and gravity. The Lagrangian is of the BF type, with a potential for the B-field, the gauge group is U(2) (complexified). Given a choice of the potential function the theory is a…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Alexander Torres-Gomez , Kirill Krasnov , Carlos Scarinci

A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential $V[\phi]$ is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no…

General Relativity and Quantum Cosmology · Physics 2008-06-11 J. W. Moffat

The fact that the equations of motion for matter remain invariant when a constant is added to the Lagrangian suggests postulating that the field equations of gravity should also respect this symmetry. This principle implies that: (1) the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 T. Padmanabhan

An algebraic framework was introduced in our previous works to address the covariance issue in spherically symmetric effective quantum gravity. This paper extends the framework to the electrovacuum case with a cosmological constant. After…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Jinsong Yang , Cong Zhang , Yongge Ma

A class of exact conformastatic solutions of the Einstein-Maxwell field equations is presented in which the gravitational and electromagnetic potentials are completely determined by a harmonic function. We derive the equations of motion for…

General Relativity and Quantum Cosmology · Physics 2016-06-08 Antonio C. Gutiérrez-Piñeres , Abraão J. S. Capistrano , Hernando Quevedo

We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the logarithmic quantum Bose liquid. We show that, in…

High Energy Physics - Theory · Physics 2015-03-20 Vladimir Dzhunushaliev , Konstantin G. Zloshchastiev

We reconstruct a static and spherically symmetric black hole geometry originally proposed as an effective metric by identifying a consistent matter source derived from a fundamental action. The space-time is supported by a magnetically…

We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The spacetime is regular everywhere except on the symmetry axis where it possess a true curvature…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Debojit Sarma , Faizuddin Ahmed , Mahadev Patgiri

We discuss an alternative way of prescribing the spacetime geometry associated with a non-radiating distribution of charged matter. It is based on the possibility that the electrostatic self-energy does not reside on the Coulombian field…

General Relativity and Quantum Cosmology · Physics 2011-12-23 Carlos Barcelo , Jose Luis Jaramillo

We review the modern classical electrodynamics problems and present the related main fundamental principles characterizing the electrodynamical vacuum-field structure. We analyze the models of the vacuum field medium and charged point…

Mathematical Physics · Physics 2015-11-03 Nikolai N. Bogolubov , Denis Blackmore , Anatolij K. Prykarpatsky

By assuming that the geometry of spacetime is uniquely determined by the energy momentum tensor of matter alone, i.e. without any interactions, enables us to construct the Lagrangian from which the metric of higher dimensional spacetime…

General Relativity and Quantum Cosmology · Physics 2024-04-09 L Horoto , F G Scholtz

We study analytically the spacelike singularity inside a spherically-symmetric, charged black hole coupled to a self-gravitating spherical massless scalar field. We assume spatial homogeneity, and find a generic solution in terms of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lior M. Burko

When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come to special static axial-symmetric solutions of two types. The first are comprised of fields…

High Energy Physics - Theory · Physics 2023-11-29 T. C. Adorno , D. M. Gitman , A. E. Shanad

It is suggested that an understanding of blackbody radiation within classical physics requires the presence of classical electromagnetic zero-point radiation, the restriction to relativistic (Coulomb) scattering systems, and the use of…

Classical Physics · Physics 2010-05-17 Timothy H. Boyer

A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region,…

General Relativity and Quantum Cosmology · Physics 2007-11-30 N. Ozdemir

We analyze the dynamics of charged test particles in a singular, horizonless spacetime arising as the massless limit of a charged wormhole in the Einstein--Maxwell--Scalar (EMS) framework. The geometry, sustained solely by an electric…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Abdullah Guvendi , Semra Gurtas Dogan , Omar Mustafa , Hassan Hassanabadi
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