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We construct a Lagrangian and Hamiltonian formulation for charged black holes in a d-dimensional maximally symmetric spherical space. By considering first new variables that give raise to an interesting dimensional reduction of the problem,…

General Relativity and Quantum Cosmology · Physics 2013-06-13 J. A. Nieto , E. A. Leon , V. M. Villanueva

In this work we deal with a following nonlinear Schrodinger equation in dimension greater or equal to 3, with a subcritical power-type nonlinearity and a positive potential satisfying a local condition. We prove the existence and…

Analysis of PDEs · Mathematics 2015-03-31 Giovany M. Figueiredo , Marcos T. O. Pimenta

We summarize the main results of a broad analysis on electrostatic, spherically symmetric (ESS) solutions of a class of non-linear electrodynamics models minimally coupled to gravitation. Such models are defined as arbitrary functions of…

General Relativity and Quantum Cosmology · Physics 2013-01-08 J. Diaz-Alonso , D. Rubiera-Garcia

A new model of nonlinear electrodynamics with three parameters is suggested. The phenomena of vacuum birefringence takes place when there is the external constant magnetic field. We calculate the indices of refraction for two polarizations…

General Physics · Physics 2024-01-17 S. I. Kruglov

We construct scalarized planar charged black holes in Einstein-Maxwell-scalar (EMS) theory with the presence of a negative cosmological constant. Domains of existence of black hole solutions are given in term of nonminimally coupling…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Chatchai Promsiri , Takol Tangphati , Ekapong Hirunsirisawat , Supakchai Ponglertsakul

In this paper, we show how the proper choice of gauge is critical in analyzing the stability of non-singular cosmological bounce solutions based on Horndeski theories. We show that it is possible to construct non-singular cosmological…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Anna Ijjas

We find new spherically symmetric charged boson star solutions of a complex scalar field coupled non-minimally to gravity by a "John-type" term of Horndeski theory, that is a coupling between the kinetic scalar term and Einstein tensor. We…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Y. Verbin , Y. Brihaye

By an idealized quantum mechanical model, we formally describe the dispersion of nonretarded electromagnetic waves that express charge density oscillations near a fixed plane in three spatial dimensions (3D) at zero temperature. Our goal is…

Mathematical Physics · Physics 2026-04-16 Dionisios Margetis

We present a regular class of exact black hole solutions of Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions…

High Energy Physics - Theory · Physics 2016-08-16 Eloy Ayón-Beato , Alberto García

We study models of non-minimally coupled relativistic fluid and $k$-essence scalar field in the background of a flat Friedmann-Lemaitre-Robertson-Walker universe. The non-minimal coupling term is introduced in the Lagrangian level. We…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Anirban Chatterjee , Saddam Hussain , Kaushik Bhattacharya

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

Spherically symmetric solution in 4D Einstein--Gauss--Bonnet gravity coupled to modified logarithmic nonlinear electrodynamics (ModLogNED) is found. This solution at infinity possesses the charged black hole Reissner--Nordstr\"{o}m…

General Physics · Physics 2023-01-30 S. I. Kruglov

We study here a number of mathematical problems related to our recently introduced neoclassical theory for the electromagnetic phenomena in which charges are represented by complex valued wave functions as in the Schrodinger wave mechanics.…

Mathematical Physics · Physics 2010-01-31 Anatoli Babin , Alexander Figotin

We propose a new model of nonlinear electrodynamics with two dimensional parameters. The phenomenon of vacuum birefringence, the principles of causality and unitarity were studied. It was shown that there is no a singularity of the electric…

General Relativity and Quantum Cosmology · Physics 2020-06-24 S. I. Kruglov

The expression of the impact parameter, in the analysis for classical and semiclassical scattering cross sections for black holes, is obtained with nonlinear electrodynamics (NLED) while the absorption section is studied with the sinc…

General Relativity and Quantum Cosmology · Physics 2020-01-29 J. C. Olvera , L. A. López

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

By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Tianyou Ren , Zhenglong Ban , Yaobin Hua , Rong-Jia Yang

In this paper we define a causal Lorentz covariant noncommutative (NC) classical Electrodynamics. We obtain an explicit realization of the NC theory by solving perturbatively the Seiberg-Witten map. The action is polynomial in the field…

High Energy Physics - Theory · Physics 2014-11-18 G. Berrino , S. L. Cacciatori , A. Celi , L. Martucci , A. Vicini

We study non-topological solitons, so called Q-balls, which carry a non-vanishing Noether charge and arise as lump solutions of self-interacting complex scalar field models. Explicit examples of new axially symmetric non-spinning Q-ball…

High Energy Physics - Theory · Physics 2014-11-18 Yves Brihaye , Betti Hartmann

We investigate the electromagnetic dynamics of spin-nondegenerate classical particle models arising from Lorentz-violating sectors of the Standard-Model Extension, focusing on the $b_\mu$ background. Starting from the type-2 relativistic…

General Physics · Physics 2026-04-07 A. A. Araújo Filho , A. F. Santos , J. A. A. S. Reis , L. Lisboa-Santos , V. B. Bezerra