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We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with nonlinear electrodynamics with the Lagrangian ${\cal L}_{NED} = -{\cal F}/(1+\sqrt{2\mid\beta{\cal…

General Relativity and Quantum Cosmology · Physics 2021-04-19 S. I. Kruglov

We investigate the properties of charged black hole geometries in nonlinear electrodynamics. We focus on the recently reported analytic charged black hole solutions to illustrate the consequences of a non-monotonic lapse function that…

High Energy Physics - Theory · Physics 2026-05-18 Lewis Croney , Ruth Gregory , Ansh Gupta , Carlos J. Ramírez-Valdez

We discuss how to generate a black hole solution of the Einstein Equations (EE) via non-linear electrodynamics (NED). We discuss the thermodynamical properties of a general NED solution, recovering the First Law. Then we illustrate the…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Stefano Chinaglia

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

We examine the accretion process in a thin disk surrounding a supermassive black hole within the framework of Einstein-Maxwell-scalar (EMS) gravity. Our investigation aims to elucidate how variations in model parameters affect different…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Yingdong Wu , Haiyuan Feng , Wei-Qiang Chen

We consider non-linear electrodynamics (NED) minimally coupled to general relativity. We derive novel electrically charged, spherically symmetric, black-hole solutions having, for some set of parameters, all their NED fields (the electric…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Mustapha Azreg-Aïnou

In this paper, we investigate the effects of the {\ae}ther field and the electric charge on the observed shadow of two types of charged black holes in the Einstein-Maxwell-{\AE}ther theory. By considering that the Einstein-Maxwell-{\AE}ther…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Mitra Darvishi , Malihe Heydari-Fard , Morteza Mohseni

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

We find non-commutative inspired electrically and magnetically charged black hole solutions in Euler-Heisenberg non-linear electrodynamics. For these solutions, we determine the non-commutative corrections to the horizon radius for the…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Marco Maceda , Alfredo Macías

A model of nonlinear electrodynamics is proposed and investigated in general relativity. We consider the magnetic black hole and find a regular solution which gives corrections into the Reissner-Nordstr\"{o}m solution. At…

General Physics · Physics 2018-03-07 S. I. Kruglov

We first obtain the $D$-dimensional asymptotically AdS charged black hole solution in general nonlinear electrodynamics (NLED). We then use the Hamilton-Jacobi method to describe the motion in curved spacetime of a scalar particle and a…

General Relativity and Quantum Cosmology · Physics 2019-05-09 Peng Wang , Houwen Wu , Haitang Yang

We study the geodesics of charged black holes in polynomial Maxwell Lagrangians, a subclass of models within the nonlinear electrodynamics (NLED). Specifically, we consider black holes in Kruglov, power-law, and Ayon-Beato-Garcia models.…

General Relativity and Quantum Cosmology · Physics 2020-07-08 A S. Habibina , H. S. Ramadhan

This is the second lecture of `RAGtime' series on electrodynamical effects near black holes. We will summarize the basic equations of relativistic electrodynamics in terms of spin-coefficient (Newman-Penrose) formalism. The aim of the…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Vladimir Karas

This work mainly focuses on the nonlinear Einstein-Euler-Heisenberg theory and its applications from various aspects. Firstly, thermodynamic variables are analytically determined via Smarr formula for a four dimensional spherically…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Huriye Gürsel , Mert Mangut , Erdem Sucu

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shuang Yu , Changjun Gao

We introduce the first-order noncommutative (NC) corrections to the general nonlinear electrodynamics (NLE) Lagrangian depending on two electromagnetic invariants. The NC deformation of Einstein-NLE theory is implemented using the…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Ana Bokulić , Filip Požar

We obtain an exact solution of $AdS$ black hole solution in Einstein-Gauss-Bonnet (EGB) gravity coupled with nonlinear electrodynamics. It interpolates with the $AdS$ regular black hole and $AdS$ EGB black hole in the absence of the…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Dharm Veer Singh , Vinod Kumar Bhardwaj , Sudhaker Upadhyay

The Einstein Euler Heisenberg (EEH) black hole model represents an extension of classical black hole solutions in general relativity by incorporating quantum electrodynamic (QED) corrections. These corrections are introduced through the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Kourosh Nozari , Sara Saghafi , Fatemeh Aliyan

We present exact black hole solutions endowed with magnetic charge coming from exponential and logarithmic nonlinear electrodynamics (NLED). Classically, we analyze the null and timelike geodesics, all of which contain both the bound and…

General Relativity and Quantum Cosmology · Physics 2021-12-14 A S. Habibina , B. N. Jayawiguna , H. S. Ramadhan

We consider a test charged particle falling onto a Schwarzschild black hole and evaluate its electromagnetic field. The Regge-Wheeler equation is solved analytically by approximating the potential barrier with Dirac delta function and…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Komarov S. O. , Gorbatsievich A. K. , Vereshchagin G.