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We propose a generating functional for nonrelativistic gauge invariant actions. In particular, we consider actions without the usual magnetic term. Like in the Born-Infeld theory, there is an upper bound to the electric field strength in…

High Energy Physics - Theory · Physics 2011-02-25 Oleg Andreev

Dyonic black hole solutions with spherically symmetric configurations within general relativity are investigated where the source of the gravitational field is Born - Infeld-type electrodynamics. Corrections to Coulomb's law and Reissner -…

General Relativity and Quantum Cosmology · Physics 2019-09-30 S. I. Kruglov

We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are…

High Energy Physics - Theory · Physics 2009-10-31 Machiko Hatsuda , Kiyoshi Kamimura , Sayaka Sekiya

We present a family of nonlinear electrodynamics models that are free of the infinite self-energy of the point charge. Each model is dependent on a dimensional nonlinearity parameter and is determined by the integer value of a dimensionless…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Sebastián Belmar-Herrera , Leonardo Balart

We discuss some aspects of Pereira et al. (2018) concerning magnetars described by nonlinear theories of the electromagnetism and make the case for the Born-Infeld Lagrangian. We focus on the increase of toroidal magnetic fields in these…

High Energy Astrophysical Phenomena · Physics 2019-04-12 Jonas P. Pereira , Jaziel G. Coelho , Rafael C. R. de Lima

We present a class of nonsingular, bouncing cosmologies that evade singularity theorems through the use of vorticity in compact extra dimensions. The vorticity combats the focusing of geodesics during the contracting phase. The construction…

High Energy Physics - Theory · Physics 2018-02-12 Peter W. Graham , David E. Kaplan , Surjeet Rajendran

We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyse under what conditions they are…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Jose Beltrán Jiménez , Luis J. Garay , María Pérez Garrote

We show that families of nonlinear gravity theories formulated in a metric-affine approach and coupled to a nonlinear theory of electrodynamics can be mapped into General Relativity (GR) coupled to another nonlinear theory of…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Victor I. Afonso , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

Recently, inspired by Eddington's theory, an alternative gravity called Eddington-inspired Born-Infeld gravity was proposed by Ba$\tilde{\text{n}}$ados and Ferreira. It is equivalent to Einstein's general relativity in vacuum, but deviates…

High Energy Physics - Theory · Physics 2012-06-26 Yu-Xiao Liu , Ke Yang , Heng Guo , Yuan Zhong

The approach to the dynamics of a charged particle in the Born-Infeld nonlinear electrodynamics developed in [Phys. Lett. A 240 (1998) 8] is generalized to include a Born-Infeld dyon. Both Hamiltonian and Lagrangian structures of many dyons…

High Energy Physics - Theory · Physics 2009-10-31 Dariusz Chruscinski , Hartmann Roemer

We consider a family of non-linear theories of electromagnetism that interpolate between Born-Infeld at small distances and ModMax at large distances. These models are duality invariant and feature a $K-$mouflage screening in the…

High Energy Physics - Theory · Physics 2022-11-30 Jose Beltrán Jiménez , Dario Bettoni , Philippe Brax

Born-Infeld electrogravity is defined through a Lagrangian that couples gravity and electromagnetism within a single determinantal structure. The field equations are derived in Palatini's formalism, where the metric, connection, and vector…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Guadalupe Ahumada Acuña , Cecilia Bejarano , Rafael Ferraro

Study of magnetic monopoles in the original version of Born-Infeld (BI) electrodynamics is performed. It then is realized that interesting new physics emerge and they include exotic behavior of radial electric monopole field such as its…

High Energy Physics - Theory · Physics 2009-10-31 Hongsu Kim

In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action…

High Energy Physics - Theory · Physics 2022-09-07 Dmitri P. Sorokin

Starting from a recently proposed linear formulation in terms of auxiliary fields, we study $n$-field generalizations of Born and Born-Infeld theories. In this description the Lagrangian is quadratic in the vector field strengths and the…

High Energy Physics - Theory · Physics 2016-11-23 B. L. Cerchiai , M. Trigiante

We study the effect of the limiting field strength of Born-Infeld electromagnetism on the dynamics of charged particle scattering. We formulate the Born-Infeld limiting field in an invariant manner, showing that it is the electric…

Nuclear Theory · Physics 2023-06-16 Will Price , Martin Formanek , Johann Rafelski

We consider the nonlinearly extended Einstein-Maxwell-axion theory, which is based on the account for two symmetries: first, the discrete symmetry associated with the properties of the axion field, second, the Jackson's symmetry,…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Alexander B. Balakin , Vladimir V. Bochkarev , Albina F. Nizamieva

I discuss theories that describe fully nonlinear physics, while being practically linear (PL), in that they require solving only linear differential equations. These theories may be interesting in themselves as manageable nonlinear…

General Relativity and Quantum Cosmology · Physics 2012-06-11 Mordehai Milgrom

In this paper we investigate the behavior of linearized gravitational excitation in the Born-Infeld Gravity in $AdS_3$ space. We obtain the linearized equation of motion and show that this higher order gravity propagate two gravitons,…

High Energy Physics - Theory · Physics 2015-06-19 M. R. Setare , M. Sahraee

The problem of black-body radiation is considered in the Born-Infeld theory of electrodynamics. In particular, at 2-loop order the deviation from the Planck expression due to the self-interaction of photons is calculated. It is seen that…

High Energy Physics - Theory · Physics 2011-12-12 Maryam Hajirahimi , Amir H. Fatollahi