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The Zeroth and First Laws of Black Hole Mechanics are derived in the context of non-linear electrodynamics coupled to gravity. The Zeroth Law is shown to hold quite generally even if the Dominant Energy Condition is violated. The derivation…

High Energy Physics - Theory · Physics 2016-09-06 D. A. Rasheed

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

Born-Infeld black holes in the Scalar-Tensor Theories of Gravity, in the case of massless scalar field, have been recently obtained. The aim of the current paper is to study the effect from the inclusion of a potential for the scalar field…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Ivan Zh. Stefanov , Daniela A. Georgieva , Stoytcho S. Yazadjiev , Michail D. Todorov

A new generalized ModMax model of nonlinear electrodynamics with four parameters is proposed. The ModMax model and Born--Infeld-type electrodynamics are particular cases of the present model It is shown that a singularity of the electric…

General Physics · Physics 2021-10-04 S. I. Kruglov

Theories of non-linear electrodynamics inherently describe deviations from Maxwell theory in the strong field regime. Among these, ModMax electrodynamics stands out as a unique one-parameter generalization of Maxwell theory that preserves…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Haryanto M. Siahaan

In this letter, we reconsider the Born-Infeld approach by replacing the Faraday field-strength tensor by a complex one in the lagrangian density. We show that an extension of the least action principle to complex-valued lagrangian densities…

Mathematical Physics · Physics 2007-08-06 Abdelouahab Kenoufi , Michel Gondran

We show that the nonlinear Born-Infeld field equations supplemented by the "dynamical condition" (certain boundary condition for the field along the particle's trajectory) define perfectly deterministic theory, i.e. particle's trajectory is…

High Energy Physics - Theory · Physics 2009-10-30 Dariusz Chruscinski

This paper has been withdrawn due to upload of another version of it as a new preprint: gr-qc/0404097

Quantum Physics · Physics 2009-02-20 Dmitriy Palatnik

A generalization of Born-Infeld non-linear vacuum electrodynamics involving axion and dilaton fields is constructed with couplings dictated by electromagnetic duality and SL(2,R) symmetries in the weak field limit. Besides the Newtonian…

High Energy Physics - Theory · Physics 2013-01-21 D. A. Burton , T. Dereli , R. W. Tucker

Black hole solutions to the Einstein equations coupled with the Born--Infeld electromagnetism associated with generalized nonlinear electrodynamics, carrying both electric and magnetic charges, often referred to as dyonically charged black…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Yisong Yang

There is an evidence that the N=2 Born-Infeld theory with spontaneously broken N=4 supersymmetry exhibits self-duality. We perform a further check of this hypothesis by constructing a new representation for the N=2 Born-Infeld action…

High Energy Physics - Theory · Physics 2015-06-18 E. A. Ivanov , B. M. Zupnik

This paper has been withdrawn due to submission of subsequent versions as a new preprint

Quantum Physics · Physics 2008-02-03 Dmitriy Palatnik

Employing higher order perturbation theory, we find a new class of perturbative extremal rotating black hole solutions with Born-Infeld electric charge in odd D-dimensional spacetime. The seed solution is an odd dimensional extremal…

General Relativity and Quantum Cosmology · Physics 2014-03-21 Masoud Allahverdizadeh , Seyed H. Hendi , José P. S. Lemos , Ahmad Sheykhi

Gravitational analogues of the nonlinear electrodynamics of Born and of Born and Infeld are introduced and applied to the black hole problem. This work is mainly devoted to the 2-dimensional case in which the relevant lagrangians are…

High Energy Physics - Theory · Physics 2009-10-30 James A. Feigenbaum , Peter G. O. Freund , Mircea Pigli

A novel four-dimensional Einstein-Gauss-Bonnet gravity was formulated by D. Glavan and C. Lin [Phys. Rev. Lett. 124, 081301 (2020)], which is intended to bypass the Lovelock's theorem and to yield a non-trivial contribution to the…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Ke Yang , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

We investigate the dynamics of a family of functional extensions of the (Eddington-inspired) Born-Infeld gravity theory, constructed with the inverse of the metric and the Ricci tensor. We provide a generic formal solution for the…

High Energy Physics - Theory · Physics 2014-08-06 Sergei D. Odintsov , Gonzalo J. Olmo , D. Rubiera-Garcia

The Eddington-inspired Born-Infeld (EiBI) gravity is a modification of the theory of general relativity inspired by the nonlinear Born-Infeld electrodynamics. The theory is described by a series of higher curvature terms added to the…

General Relativity and Quantum Cosmology · Physics 2019-01-14 Soumya Jana , Rajibul Shaikh , Sudipta Sarkar

We analyze a recent conjecture regarding the perturbative construction of non-linear deformations of all classically duality invariant theories, including N=8 supergravity. Starting with an initial quartic deformation, we engineer a…

High Energy Physics - Theory · Physics 2012-03-29 John Joseph M. Carrasco , Renata Kallosh , Radu Roiban

For the general theory of nonlinear electrodynamics (NLED), we prove that causality implies both the Dominant Energy Condition (DEC) and, surprisingly, the Strong Energy Condition (SEC). This has implications for gravitational applications,…

High Energy Physics - Theory · Physics 2024-04-16 Jorge G. Russo , Paul K. Townsend

Two-dimensional Born-Infeld electrostatic fields behaving as the superposition of two point-like charges in the linearized (Maxwellian) limit are worked out by means of a non-holomorphic mapping of the complex plane. The changes underwent…

High Energy Physics - Theory · Physics 2008-11-26 Rafael Ferraro , Maria Evangelina Lipchak