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In this paper, we investigate the thermodynamics of dyonic black holes in the presence of Born-Infeld electromagnetic field. We show that electric-magnetic duality reported for dyonic solutions with Maxwell field is omitted in case of…

General Physics · Physics 2019-11-15 S. Panahiyan

We study the effects produced by nonlinear electrodynamics in spacetimes conformal to Bianchi metrics. In the presence of Born-Infeld type fields these models accelerate, expand and isotropize. This effect is compared with the corresponding…

High Energy Physics - Theory · Physics 2009-11-07 Ricardo Garcia-Salcedo , Nora Breton

The fields of rapidly moving sources are studied within nonlinear electrodynamics by boosting the fields of sources at rest. As a consequence of the ultrarelativistic limit the delta-like electromagnetic shock waves are found. The character…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Jiri Bicak , David Kubiznak

English translation of a Russian Ph.D. thesis from 1936. No original abstract, translator's abstract: The thesis consists of two chapters. In chapter I, general requirements to be imposed on any nonlinear electrodynamics and their…

History and Philosophy of Physics · Physics 2017-08-24 A. A. Smirnov

We show exact solutions of Born-Infeld theory for electromagnetic plane waves propagating in the presence of static background fields. The non-linear character of Born-Infeld equations generates an interaction between background and wave…

High Energy Physics - Theory · Physics 2011-07-19 Matias Aiello , Gabriel Bengochea , Rafael Ferraro

Fluctuations around a non-trivial solution of Born-Infeld theory have a limiting speed given not by the Einstein metric but the Boillat metric. The Boillat metric is S-duality invariant and conformal to the open string metric. It also…

High Energy Physics - Theory · Physics 2008-11-26 G. W. Gibbons , C. A. R. Herdeiro

Recently, the most general theory of electromagnetism invariant under duality and conformal invariance was written, and dubbed ModMax. It arises from a generalization of Born-Infeld (BI) theory by taking the infinite tension limit,…

High Energy Physics - Theory · Physics 2022-05-17 Horatiu Nastase

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

Magnetars have inferred polar field strengths in excess of the Schwinger limit, where non-linear electromagnetic effects can be significant. Their internal fields may be even stronger, suggesting that Maxwellian characterizations of…

High Energy Astrophysical Phenomena · Physics 2025-05-12 Arthur G. Suvorov , José A. Pons

We consider the Born-Infeld type extension of (non-)critical gravity which is higher curvature gravity on Anti de-Sitter space with specific combinations of scalar curvature and Ricci tensor. This theory may also be viewed as a natural…

High Energy Physics - Theory · Physics 2012-10-23 Sang-Heon Yi

Motivated by string theory corrections of dilatonic gravity and Born-Infeld nonlinear electromagnetic field, we consider the BTZ black holes with these two generalizations. It will be shown that the generalization to dilatonic gravity…

General Physics · Physics 2018-10-10 Seyed Hossein Hendi , Behzad Eslam Panah , Shahram Panahiyan , Mokhtar Hassaine

We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Lang Cheng , Peng Wang

Recently we have proposed a new auxiliary-field formulation for self-dual nonlinear electrodynamics (NLED) which makes use of two building blocks: (i) a seed self-dual theory $L(F_{\mu\nu};g)$, where $F_{\mu \nu}$ is the electromagnetic…

High Energy Physics - Theory · Physics 2026-05-08 Sergei M. Kuzenko , Jonah Ruhl

In this paper, we consider the Born-Infeld system, arising as a nonlinear model of electromagnetism, and its extension introduced by Brenier [Bre04] the so-called "augmented Born-Infeld system". We show that this system enjoys a…

Analysis of PDEs · Mathematics 2024-08-15 Philippe Anjolras

We resurrect Eddington's proposal for the gravitational action in the presence of a cosmological constant and extend it to include matter fields. We show that the Newton-Poisson equation is modified in the presence of sources and that…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-04 Maximo Banados , Pedro G. Ferreira

We consider metric-affine scenarios where a modified gravitational action is sourced by electrovacuum fields in a three dimensional space-time. Such scenarios are supported by the physics of crystalline structures with microscopic defects…

General Relativity and Quantum Cosmology · Physics 2015-08-13 Cosimo Bambi , M. Ghasemi-Nodehi , D. Rubiera-Garcia

The mechanism for the generation of multipole moments due to an external field is presented for the Born-Infeld charged particle. The 'polarizability coefficient' for arbitrary l-pole moment is calculated. The l-th coefficient is…

High Energy Physics - Theory · Physics 2008-11-26 Dariusz Chruscinski , Jerzy Kijowski

In this paper, we formulate, for the first time, in a systematic manner, Galilean relativistic Born-Infeld action in detail. Exploiting maps connecting Lorentz relativistic and Galilean relativistic vectors, we construct the two limits…

High Energy Physics - Theory · Physics 2024-02-12 Rabin Banerjee , Soumya Bhattacharya , Bibhas Ranjan Majhi

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

In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2015-05-18 R. Bufalo