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Unimodular gravity (UG) is considered, under many aspects, equivalent to General Relativity (GR), even if the theory is invariant under a more restricted diffeomorphic class of transformations. We discuss the conditions for the equivalence…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Júlio C. Fabris , Mahamadou Hamani Daouda , Hermano Velten

We study the class of nonlinear Klein-Gordon-Maxwell systems describing a standing wave (charged matter field) in equilibrium with a purely electrostatic field. We improve some previous existence results in the case of an homogeneous…

Analysis of PDEs · Mathematics 2009-12-01 Antonio Azzollini , Lorenzo Pisani , Alessio Pomponio

This paper is a critical study of non-standard Maxwellian electrodynamics. It explores two important topics: the inclusion of both magnetic and electric charge to produce what it calls Extended Electrodynamics, and the existence of a…

Classical Physics · Physics 2023-03-15 Oliver Davis Johns

The spherically symmetric static solutions are searched for in some f(T) models of gravity theory with a Maxwell term. To do this, we demonstrate that reconstructing the Lagrangian of f(T) theories is sensitive to the choice of frame, and…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Tower Wang

The Eddington Lagrangian in the purely affine formulation of general relativity generates the Einstein equations with the cosmological constant. The Ferraris-Kijowski purely affine Lagrangian for the electromagnetic field, which has the…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Nikodem J. Poplawski

A class of spinning magnetic string in 4-dimensional Einstein-dilaton gravity with Liouville type potential which produces a longitudinal nonlinear electromagnetic field is presented. These solutions have no curvature singularity and no…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , A. Sheykhi , S. H. Hendi

Within the electroweak theory, it is shown that the form of the total Lagrangian is invariant, under local phase changes of the basis states for leptons and under local changes of the mathematical spaces employed for the description of…

General Physics · Physics 2019-01-21 Wen-ge Wang

We argue that in a nonlinear gravity theory, which according to well-known results is dynamically equivalent to a self-gravitating scalar field in General Relativity, the true physical variables are exactly those which describe the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Guido Magnano , Leszek M. Sokolowski

Dyonic and magnetic black holes solutions with spherically symmetric configurations in general relativity are obtained. Black holes possessing electric and magnetic charges are studied where the source of the gravitational field is…

General Relativity and Quantum Cosmology · Physics 2019-11-12 S. I. Kruglov

We present a theorem in d-dimensional static, spherically symmetric spacetime in generic Lovelock gravity coupled with a non-linear electrodynamic source to generate solutions. The theorem states that irrespective of the order of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. Habib Mazharimousavi , O. Gurtug , M. Halilsoy

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

The stability of matter composed of electrons and static nuclei is investigated for a relativistic dynamics for the electrons given by a suitably projected Dirac operator and with Coulomb interactions. In addition there is an arbitrary…

Statistical Mechanics · Physics 2009-10-28 Elliott H. Lieb , Heinz Siedentop , Jan Philip Solovej

We consider the lagrangian of a self-interacting complex scalar field admitting generically Q-balls solutions. This model is extended by minimal coupling to electromagnetism and to gravity. A stationnary, axially-symmetric ansatz for the…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Y. Brihaye , Th. Caebergs , T. Delsate

We show that there is a function of one variable's worth of Lagrangians for a single Maxwell field coupled to gravity whose equations of motion admit electric-magnetic duality. Such Lagrangians are given by solutions of the Hamilton-Jacobi…

High Energy Physics - Theory · Physics 2009-10-07 G W Gibbons , D A Rasheed

We derive the equations of motion governing static dyonic matters, described in terms of two real scalar fields, in nonlinear electrodynamics of the Born--Infeld theory type. We then obtain exact finite-energy solutions of these equations…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Yisong Yang

We use Noether symmetry approach to find spherically symmetric static solutions of the non-minimally coupled electromagnetic fields to gravity. We construct the point-like Lagrangian under the spherical symmetry assumption. Then we…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Özcan Sert , Fatma Çeliktaş

Attempts at an electromagnetic explanation of the inertial mass of charged particles have recently been revived within the framework of Stochastic Electrodynamics, characterized by the adoption of a classical version of the electromagnetic…

General Physics · Physics 2007-05-23 Michael Ibison

The possibility that QED and recently developed non-Hermitian, or magnetic, versions of QED are equivalent is considered. Under this duality the Hamiltonians and anomalous axial currents of the two theories are identified. A consequence of…

High Energy Physics - Theory · Physics 2009-09-10 Chris Ford

Inspired by the so-called Palatini formulation of General Relativity and of its modifications and extensions, we consider an analogous formulation of the dynamics of a self-interacting gauge field which is determined by non-linear extension…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Yosef Verbin , Beyhan Pulice , Ali Övgün , Hyat Huang

We study dyonic solutions to the gravity-dilaton-antisymmetric form equations with the goal of identifying new $p$-brane solutions on the fluxed linear dilaton background. Starting with the generic solutions constructed by reducing the…

High Energy Physics - Theory · Physics 2008-11-26 Gerard Clement , Dmitri Gal'tsov , Cedric Leygnac , Dmitri Orlov
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