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We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyse under what conditions they are…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Jose Beltrán Jiménez , Luis J. Garay , María Pérez Garrote

We present a new formulation of self-dual nonlinear electrodynamics in which interactions are determined by an auxiliary-field potential, with causality ensuring a unique solution to the auxiliary-field equation. The long-standing problem…

High Energy Physics - Theory · Physics 2025-10-08 Jorge G. Russo , Paul K. Townsend

Dual actions with respect to U(1) gauge fields for Born-Infeld and $Dp$-brane theories are reexamined. Taking into account an additional condition, i.e. a corollary to the field equation of the auxiliary metric, one obtains an alternative…

High Energy Physics - Theory · Physics 2009-10-16 Rong-Xin Miao , Yan-Gang Miao , Shao-Jie Wei

We present black hole solutions in $2+1-$dimensional Einstein's theory of gravity coupled with Born-Infeld nonlinear electrodynamic and a massless self-interacting scalar field. The model has five free parameters: mass $M$, cosmological…

General Relativity and Quantum Cosmology · Physics 2015-09-30 S. Habib Mazharimousavi , M. Halilsoy

Born-Infeld electrogravity is defined through a Lagrangian that couples gravity and electromagnetism within a single determinantal structure. The field equations are derived in Palatini's formalism, where the metric, connection, and vector…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Guadalupe Ahumada Acuña , Cecilia Bejarano , Rafael Ferraro

In this paper we explicitly show the equivalence between the non-Abelian Born-Infeld action, which was proposed by Tseytlin as an effective action on several D-branes, and its noncommutative counterpart for slowly varying fields. This…

High Energy Physics - Theory · Physics 2009-10-31 Seiji Terashima

The non-abelian Einstein-Born-Infeld-Dilaton theory, which rules the dynamics of tensor-scalar gravitation coupled to a $su(2)$-valued gauge field ruled by Born-Infeld lagrangian, is studied in a cosmological framework. The microscopic…

General Relativity and Quantum Cosmology · Physics 2011-07-19 A. Fuzfa , J. -M. Alimi

We study gravitational waves emitted by a binary system of non-spinning bodies in a quasi-circular inspiral within the framework of Einstein-aether theory. In particular, we compute explicitly and analytically the expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Chao Zhang , Xiang Zhao , Anzhong Wang , Bin Wang , Kent Yagi , Nicolas Yunes , Wen Zhao , Tao Zhu

We develop a theoretical framework that allows us to compare electromagnetism and gravitation in a fully covariant way. This new scenario does not rely on any kind of approximation nor associate objects with different operational meaning as…

General Relativity and Quantum Cosmology · Physics 2012-08-29 E. Goulart , F. T. Falciano

The equations of electrostatics are presented in pre-metric form, and it is pointed out that if the origin of the nonlinearity is the constitutive law for the medium then the differential equations themselves remain linear, while the…

General Physics · Physics 2007-08-31 D. H. Delphenich

More than 80 years ago, Born-Infeld electrodynamics was proposed in order to remove the point charge singularity in Maxwell electrodynamics. In this work, after a brief introduction to Lagrangian formulation of Abelian Born-Infeld model in…

High Energy Physics - Theory · Physics 2017-07-04 Seyed Kamran Moayedi , Mansoureh Shafabakhsh , Farkhondeh Fathi

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

In a recent paper Seiberg and Witten have argued that the full action describing the dynamics of coincident branes in the weak coupling regime is invariant under a specific field redefinition, which replaces the group of ordinary gauge…

High Energy Physics - Theory · Physics 2009-10-31 L. Cornalba

In this article we give general neccessary and sufficient conditions to ensure that a pseudo-Riemannian manifold is conformal to an Einstein space. These conditions are algorithmic in \emph{the metric tensor} whenever the Weyl endomorphism…

Differential Geometry · Mathematics 2026-01-27 Alfonso García-Parrado , Jónatan Herrera , Miguel Vadillo

Discussed is relationship between nonlinearity and symmetry of dynamical models. The special stress is laid on essential, non-perturbative nonlinearity, when none linear background does exist. This is nonlinearity essentially different from…

Mathematical Physics · Physics 2010-03-17 Jan Jerzy Sławianowski , Vasyl Kovalchuk

We consider the structure and physical properties of specific classes of neutron, quark, and Bose-Einstein Condensate stars in the conformally invariant Weyl geometric gravity theory. The basic theory is derived from the simplest…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Zahra Haghani , Tiberiu Harko

This work introduces non-Hermitian position-dependent mass Hamiltonians characterized by complex ladder operators and real, equidistant spectra. By imposing the Heisenberg-Weyl algebraic structure as a constraint, we derive the…

Mathematical Physics · Physics 2025-08-14 M. I. Estrada-Delgado , Z. Blanco-Garcia

We analyze the component structure of models for 4D N = 1 supersymmetric nonlinear electrodynamics that enjoy invariance under continuous duality rotations. The N = 1 supersymmetric Born-Infeld action is a member of this family. Such…

High Energy Physics - Theory · Physics 2010-05-19 S. M. Kuzenko , S. A. McCarthy

We consider two types of modifications of Born-Infeld gravity in the Palatini formulation and explore their dynamics in the early universe. One of these families considers $f(R)$ corrections to the Born-Infeld Lagrangian, which can be seen…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Andrey N. Makarenko , Sergei D. Odintsov , Gonzalo J. Olmo , Diego Rubiera-Garcia

Conformal invariant new forms of $p$-brane and D$p$-brane actions are proposed. The field content of these actions are: an induced metric, gauge fields, an auxiliary metric and an auxiliary scalar field that implements the Weyl invariance.…

High Energy Physics - Theory · Physics 2009-10-31 J. Antonio García , Román Linares , J. David Vergara