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We investigate black hole solutions in the Einstein-Born-Infeld system. We clarify the role played by derivative corrections to the Born-Infeld (BI) action. The qulitative differences from the case without derivative corrections are: (i)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Takashi Tamaki

The propagation of a quasi-harmonic electromagnetic wave in a bulk hyperbolic dielectric metamaterial is considered. If the group velocities dispersion is not taken into account, then wave propagation can be described either by the…

Pattern Formation and Solitons · Physics 2022-11-04 A. I. Maimistov

Effective Riemann space effect of vacuum nonlinear electrodynamics is considered in the context of theory for unified gravitation and electromagnetism. The electromagnetic four-vector potential in the scope of Born-Infeld nonlinear…

General Relativity and Quantum Cosmology · Physics 2010-06-30 Alexander A. Chernitskii

The quantum optical problem of the propagation of electromagnetic waves in a nonlinear waveguide is related to the solutions of the classical nonstationary harmonic oscillator using the method of linear integrals of motion [ Malkin et.al.,…

Quantum Physics · Physics 2015-06-26 A. Angelow

Huge electromagnetic fields are known to be present during the late stages of the dynamics of supernovae. Thus, when dealing with electrodynamics in this context, the possibility may arise to probe nonlinear theories. The Einstein field…

High Energy Astrophysical Phenomena · Physics 2020-04-13 H. Mosquera Cuesta , G. Lambiase , J. P. Pereira

We consider the bending of light by nonlinear electrodynamics when the magnetic field $B$ exceeds the critical value $B_{\rm c}$. Using the index of refraction derived from the analytic series representation in one-loop effective action of…

High Energy Physics - Phenomenology · Physics 2015-06-11 Jin Young Kim

In this paper, we investigate the asymptotically Anti de Sitter solutions of rotating black strings coupled to Born-Infeld and Modified Maxwell non-linear electrodynamics in the context of Einsteinian, Einsteinian cubic and Einsteinian…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Hamid R. Bakhtiarizadeh , Hanif Golchin

We study four-dimensional Einstein-Maxwell fields for which any higher-order corrections to the field equations effectively reduces to just a rescaling of the gravitational and the cosmological constant. These configurations are thus…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Marcello Ortaggio

We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the…

High Energy Physics - Theory · Physics 2009-10-31 Gary W. Gibbons , Koji Hashimoto

We argue that the topological structure of Abelian gauge theories, such as Maxwell electrodynamics, in the background of a Euclidean Schwarzschild black hole manifests itself through an asymmetry in Hawking radiation. In particular, the…

High Energy Physics - Theory · Physics 2026-04-06 Archil Kobakhidze , Elden Loomes

In this work, we investigate the gravitational signatures of a nonlinear electromagnetic extension of the Reissner-Nordstr\"om solution. We conduct an analysis of light propagation, focusing on the photon sphere, shadow formation, and…

General Relativity and Quantum Cosmology · Physics 2025-04-28 A. A. Araújo Filho

We study the nonlinear dynamics of binary black hole systems with scalar charge by numerically evolving the full equations of motion for shift-symmetric Einstein scalar Gauss-Bonnet gravity. We consider quasi-circular binaries with…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Maxence Corman , Justin L. Ripley , William E. East

We consider both generalized Born-Infeld and Exponential Electrodynamics. The field-energy of a point-like charge is finite only for Born-Infeld-like Electrodynamics. However, both Born-Infeld-type and Exponential Electrodynamics display…

High Energy Physics - Theory · Physics 2015-06-22 Patricio Gaete , José Helayël-Neto

Huge electromagnetic fields are known to be present during the late stages of the dynamics of supernovae. Thus, when dealing with electrodynamics in this context, the possibility may arise to probe nonlinear theories (generalizations of the…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Herman J. Mosquera Cuesta , Gaetano Lambiase , Jonas P. Pereira

We show that only two types of effective metrics are possible in certain nonlinear electromagnetic theories. This is achieved by using the dependence of the effective metric on the energy-momentum tensor of the background along with the…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Erico Goulart de Oliveira Costa , Santiago Esteban Perez Bergliaffa

It has been claimed that during the late time history of our universe, the fine structure constant of electromagnetism, $\alpha$, has been increasing (Webb et al. 2001; Murphy et al. 2003). The conclusion is achieved after looking at the…

Astrophysics · Physics 2009-11-13 Jean Paul Mbelek , Herman J. Mosquera Cuesta

It is shown that the Born--Infeld nonlinear electrodynamics with a polynomial type nonlinearity accommodates finite-energy electric point charges but rejects finite-energy magnetic point charges, or monopoles, thereby spelling out an…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Yisong Yang

It is a well-known fact that light rays do not follow the null geodesics of the space-time in nonlinear electrodynamics; instead, they follow the null geodesics of the so-called effective space-time. Taking this into account, in this paper,…

General Relativity and Quantum Cosmology · Physics 2021-01-15 Bobir Toshmatov , Bobomurat Ahmedov , Daniele Malafarina

According to the Einstein, Weinberg, and M{\o}ller energy-momentum complexes, we evaluate the energy distribution of the singularity-free solution of the Einstein field equations coupled to a suitable nonlinear electrodynamics suggested by…

General Relativity and Quantum Cosmology · Physics 2011-08-24 I-Ching Yang , Chi-Long Lin , Irina Radinschi

The generalized Born--Infeld electrodynamics with two parameters is investigated. In this model the propagation of a linearly polarized laser beam in the external transverse magnetic field is considered. It was shown that there is the…

High Energy Physics - Theory · Physics 2014-11-20 S. I. Kruglov
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