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The magnetic force is retained in the Lorentz Oscillator Model and a perturbation solution is derived beyond the dipole approximation. Perturbation series for the electric dipole, magnetic dipole, and electric quadrupole moments in addition…

Optics · Physics 2020-01-20 Brad C. Smith

We obtain the characteristic equation for the nonlinear Born-Infeld electrodynamics. This equation has the form of the characteristic equation for the linear electrodynamics in some effective Riemann space. The effective metric include the…

High Energy Physics - Theory · Physics 2010-02-03 Alexander A. Chernitskii

In the context of a five-dimensional theory with a scalar field non-minimally-coupled to gravity, we look for solutions that describe novel black-string or maximally-symmetric solutions in the bulk. The brane line-element is found to…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Panagiota Kanti , Theodoros Nakas , Nikolaos Pappas

Above Planck energies, the spacetime might become non--Riemannian, as it is known fron string theory and inflation. Then geometries arise in which nonmetricity and torsion appear as field strengths, side by side with curvature. By gauging…

General Relativity and Quantum Cosmology · Physics 2016-08-15 José Socorro , Claus Lämmerzahl , Alfredo Macías , Eckehard W. Mielke

We consider the classical equations of the Born-Infeld-Abelian-Higgs model (with and without coupling to gravity) in an axially symmetric ansatz. A numerical analysis of the equations reveals that the (gravitating) Nielsen-Olesen vortices…

High Energy Physics - Theory · Physics 2014-11-18 Y. Brihaye , B. Mercier

A method to calculate the form factor for an external current with non-derivative coupling for the three-body system in an effective field theory (EFT) of short-range interactions is shown. Using this method the point charge radius of…

Nuclear Theory · Physics 2018-09-19 Jared Vanasse

We study a Born-Infeld inspired model of gravity and electromagnetism in which both types of fields are treated on an equal footing via a determinantal approach in a metric-affine formulation. Though this formulation is a priori in conflict…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Victor I. Afonso , Cecilia Bejarano , Rafael Ferraro , Gonzalo J. Olmo

It is well known that the Reissner-Norstrom solution of Einstein-Maxwell theory cannot be cylindrically extended to higher dimension, as with the black hole solutions in vacuum. In this paper we show that this result is circumvented in…

High Energy Physics - Theory · Physics 2018-08-22 Alex Giacomini , Marcela Lagos , Julio Oliva , Aldo Vera

We investigate $f(T)$ theory coupled with a nonlinear source of electrodynamics, for a spherically symmetric and static spacetime in $4D$. We re-obtain the Born-Infeld and Reissner-Nordstrom-AdS solutions. We generalize the no-go theorem…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ednaldo L. B. Junior , Manuel E. Rodrigues , Mahouton J. S. Houndjo

We construct solutions to the nonlinear magnetic Schr\"odinger equation $$ \left\{ \begin{aligned} - \varepsilon^2 \Delta_{A/\varepsilon^2} u + V u &= \lvert u\rvert^{p-2} u & &\text{in}\ \Omega,\\ u &= 0 & &\text{on}\ \partial\Omega,…

Analysis of PDEs · Mathematics 2017-07-04 Jonathan Di Cosmo , Jean Van Schaftingen

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

We wish to construct solutions of Taub-NUT spacetime in Einstein-Born-Infeld gravity in even dimensions. Since Born-Infeld theory is a nonlinear electrodynamics theory, in leads to nonlinear differential equations. However a proper…

High Energy Physics - Theory · Physics 2014-11-20 A. Khodam-Mohammadi

A novel nonlinear electrodynamics (NLE) model with two dimensionful parameters is introduced and investigated. Our model obeys the Maxwellian limit and exhibits behaviour similar to the Born-Infeld Lagrangian in the weak field limit. It is…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Anjan Kar

We consider the problem of determination of a magnetic field from three dimensional polarimetric neutron tomography data. We see that this is an example of a non-Abelian ray transform and that the problem has a globally unique solution for…

Analysis of PDEs · Mathematics 2019-10-21 Naeem M. Desai , William R. B. Lionheart , Morten Sales , Markus Strobl , Søren Schmidt

We address the possibility of finding domain wall solutions from cosmological solutions in brane cosmology. We find first-order equations for corresponding cosmology/domain wall solutions induced on 3-branes. The quadratic term of energy…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , F. A. Brito , F. G. Costa

We consider electrovacuum black hole spacetimes in classical extensions of Eddington-inspired Born-Infeld gravity. By rewriting Born-Infeld action as the square root of the determinant of a matrix $\hat{\Omega}$, we consider the family of…

General Relativity and Quantum Cosmology · Physics 2016-09-09 Cosimo Bambi , D. Rubiera-Garcia , Yixu Wang

In this paper we present a systematic construction of an(isotropic) black brane solutions in arbitrary spacetime dimensions $D$ in particular, with Lifshitz-like asymptotics. Two distinct holographic models are considered. The first model…

High Energy Physics - Theory · Physics 2026-04-10 Irina Ya. Aref'eva , Anastasia A. Golubtsova , Valeriya D. Nerovnova

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

Nonlinear electrodynamics is known as the generalizations of Maxwell electrodynamics at strong fields and presents interesting features such as curing the classical divergences present in the linear theory when coupled to general…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Yashmitha Kumaran , Ali Övgün

With an appropriate combination of three Liouville-type dilaton potentials, we construct a new class of spinning magnetic dilaton string solutions which produces a longitudinal magnetic field in the background of anti-de Sitter spacetime.…

High Energy Physics - Theory · Physics 2009-02-12 Ahmad Sheykhi
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