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We briefly outline several main results concerning various new physically relevant features found in gravity -- both ordinary Einstein or $f(R)=R+R^2$ gravity in the first-order formalism, coupled to a special kind of nonlinear…

High Energy Physics - Theory · Physics 2013-11-15 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

This paper suggests a generalization of the Born--Infeld action (1932) for the case of electroweak and gravitational fields. Basic notions one deals with are Dirac matrices, $\gamma_{a}$, and dimensionless covariant derivatives, $\pi_{a} =…

Quantum Physics · Physics 2008-02-03 Dmitriy Palatnik

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

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

We investigate the properties of non-linear electromagnetism based on the Born-Infeld Lagrangian in multi-dimensional theories of Kaluza-Klein type. We consider flat space-time solutions only, which means that the space-time metric is…

High Energy Physics - Theory · Physics 2007-05-23 José P. S. Lemos , Richard Kerner

In the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of…

High Energy Physics - Theory · Physics 2009-05-12 Glenn Barnich , Cedric Troessaert

We investigate various properties of classical configurations of the Born-Infeld theory in a uniform electric field. This system is involved with dynamics of (F,Dp) bound states, which are bound states of fundamental strings and Dp-branes.…

High Energy Physics - Theory · Physics 2011-07-19 Koji Hashimoto

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

All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a ``reverse Born-Infeld'' case, which has a limit to Plebanski, and an…

High Energy Physics - Theory · Physics 2023-02-01 Jorge G. Russo , Paul K. Townsend

Born-Infeld nonlinear electrodynamics with point singularities having both electric and magnetic charges are considered. Problem of interaction between the associated soliton dyon solutions is investigated. For the case of long-range…

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

Bekenstein and Mayo proposed a generalised bound for the entropy, which implies some inequalities between the charge, energy, angular momentum, and the size of the macroscopic system. Dain has shown that Maxwell's electrodynamics satisfies…

General Relativity and Quantum Cosmology · Physics 2018-01-17 M. L. Peñafiel , F. T. Falciano

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 construct Born-Infeld (BI) type gravity theories which describe tree-level unitary (non-ghost and non-tachyonic) massless spin-2 modes around their maximally symmetric vacua in four dimensions. Building unitary BI actions around flat…

High Energy Physics - Theory · Physics 2015-03-05 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

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

The theory of nonlinear electrodynamics has got a lot of attentions in recent years. It was shown that Born-Infeld nonlinear electrodynamics is not the only modification of the linear Maxwell's field which keeps the electric field of a…

General Relativity and Quantum Cosmology · Physics 2015-04-17 A. Sheykhi , S. Hajkhalili

The early Cosmology driven by a single scalar field, both massless and massive, in the context of Eddington-inspired Born-Infeld gravity, is explored. We show the existence of nonsingular solutions of bouncing and loitering type (depending…

General Relativity and Quantum Cosmology · Physics 2021-11-15 David Benisty , Gonzalo J. Olmo , Diego Rubiera-Garcia

We construct static and spherically symmetric particle-like and black hole solutions with magnetic or electric charge in the Einstein-Born-Infeld-dilaton system, which is a generalization of the Einstein-Maxwell-dilaton (EMD) system and of…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Takashi Tamaki , Takashi Torii

Static spherically symmetric asymptotically flat solutions to the U(1) Born-Infeld theory coupled to gravity and to a dilaton are investigated. The dilaton enters in such a way that the theory is $SL(2,R)$- symmetric for a unit value of the…

High Energy Physics - Theory · Physics 2009-10-31 Gerard Clement , Dmitri Gal'tsov

The mathematical structure of the Born-Infeld field equations was analyzed from the point of view of the symmetries. To this end, the field equations were written in the most compact form by means of quaternionic operators constructed…

High Energy Physics - Theory · Physics 2008-11-26 Diego Cirilo-Lombardo

We present a model for an inhomogeneous and anisotropic early universe filled with a nonlinear electromagnetic field of Born-Infeld (BI) type. The effects of the BI field are compared with the linear case (Maxwell). Since the curvature…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Ricardo Garcia-Salcedo , Nora Breton