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We start this paper by concisely rederiving ModMax, which is nothing but the unique nonlinear extension of Maxwell's equations preserving conformal and duality invariance. The merit of this new derivation is its transparency and simplicity…

High Energy Physics - Theory · Physics 2024-09-10 Eloy Ayón-Beato , Daniel Flores-Alfonso , Mokhtar Hassaine

Recently, Sorce and Wald have suggested a new version of the gedanken experiments to overspin or overcharge the Kerr-Newman black holes in Einstein-Maxwell gravity. Following their setup, in this paper, we investigate the weak cosmic…

High Energy Physics - Theory · Physics 2020-01-03 Yan-Li He , Jie Jiang

We argue that Einstein gravity coupled to a Born-Infeld theory provides an attractive candidate to represent dark matter and dark energy. For cosmological models, the Born-Infeld field has an equation of state which interpolates between…

High Energy Physics - Theory · Physics 2013-03-11 Maximo Banados

General Relativity has shown an outstanding observational success in the scales where it has been directly tested. However, modifications have been intensively explored in the regimes where it seems either incomplete or signals its own…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Diego Rubiera-Garcia

We identify new families of duality-invariant theories of electrodynamics. We achieve this in two different ways. On the one hand, we present an algorithm to construct a one-parameter family of exactly duality-invariant theories from a…

High Energy Physics - Theory · Physics 2025-11-11 Ángel J. Murcia

Born-Infeld non-linear electrodynamics arises naturally as a field theory description of the dynamics of strings and branes. Most analyses of this theory have been limited to studying it as a classical field theory. We quantize this theory…

High Energy Physics - Lattice · Physics 2009-11-11 J. B. Kogut , D. K. Sinclair

It has been argued that a Universe governed by Eddington-Born-Infeld gravity can be compatible with current cosmological constraints. The extra fields introduced in this theory can behave both as dark matter and dark energy, unifying the…

Astrophysics · Physics 2009-04-02 Máximo Bañados , Pedro G. Ferreira , Constantinos Skordis

We construct exact solutions that describe the near horizon region of extremal rotating black holes in Einstein-Born-Infeld theory. Using generalized Komar integrals, we extract the electric charge and angular momentum from the near horizon…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Tomáš Hale , Robie A. Hennigar , David Kubizňák

We study the validity of Bekenstein's entropy bound for a charged black hole in the context of nonlinear electrodynamics. Bekenstein's inequalities are commonly understood as universal relations between the entropy, the charge, the…

General Relativity and Quantum Cosmology · Physics 2021-04-30 F. T. Falciano , M. L. Peñafiel , J. C. Fabris

Exact finite-energy solutions to the nonlinear governing equations of the Born-Infeld theory of electrodynamics, describing continuous distributions of electric, magnetic, and dyonic charge sources, in both classical and generalized…

High Energy Physics - Theory · Physics 2024-12-10 Yisong Yang

It is shown that the Born-Infeld-type modification of the quadratic Yang-Mills action suggested by the superstring theory gives rise to classical particle-like solutions prohibited in the standard Yang-Mills theory. This becomes possible…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Gal'tsov , Richard Kerner

The stationary axisymmetric spacetime coupled to nonlinear Born-Infeld electrodynamics is studied. The solution was derived by Plebanski et al (1984) and it is characterized by six free parameters: mass, NUT charge, electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Nora Bretón , C. E. Ramírez-Codiz

We explore dynamical features of the maximally symmetric nonlinear extension of classical electromagnetism, recently proposed in the literature as ``ModMax'' electrodynamics. This family of theories is the only one that preserves all the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Juan Manuel Diaz , Marcelo E. Rubio

A simple technique for the construction of gravity theories in Born-Infeld style is presented, and the properties of some of these novel theories are investigated. They regularize the positive energy Schwarzschild singularity, and a large…

High Energy Physics - Theory · Physics 2009-11-10 Mattias N. R. Wohlfarth

It is shown that the breaking of the conformal invariance in quantum electrodynamics due to the trace anomaly results in the generation of long wave electromagnetic fields during inflationary stage of the universe evolution. If the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Dolgov Randall

We consider the Born-Infeld nonlinear electromagnetic field equations and study its Cauchy problem in the case that the Vlasov equation is considered as a matter model. In the present paper, the Vlasov equation is considered on the…

Mathematical Physics · Physics 2015-01-07 Ho Lee

Exact multicentered solutions to the governing equations of the Born--Infeld nonlinear theory of electrodynamics describing distributions of electric, magnetic, and dyonic point charge sources are constructed explicitly for the first time.…

Mathematical Physics · Physics 2023-09-28 Yisong Yang

Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n-1)-form electrodynamics and chiral 2n-form…

High Energy Physics - Theory · Physics 2021-03-17 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

Starting with a simple two scalar field system coupled to a modified measure that is independent of the metric, we, first, find a Born-Infeld dynamics sector of the theory for a scalar field and second, show that the initial scale…

High Energy Physics - Theory · Physics 2020-08-11 T. O. Vulfs , E. I. Guendelman

Using Hamiltonian methods, we find six relativistic theories of nonlinear electrodynamics for which plane wave perturbations about a constant uniform background are not birefringent. All have the same conformal strong-field limit to…

High Energy Physics - Theory · Physics 2024-02-22 Luca Mezincescu , Jorge G. Russo , Paul K. Townsend
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