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The nature of black holes (BHs) and their potential deviations from classical General Relativity (GR) remain central questions in modern astrophysics. Nonlinear electrodynamics (NED) offers a promising mechanism to construct regular BHs…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Javokhir Sharipov , Mirzabek Alloqulov , Pankaj Sheoran , Sanjar Shaymatov

One of the main features of nonlinear electrodynamics (NED) is the existence of an effective geometry that describes the geodesic motion of photons. A detailed analysis of the properties of effective geometry is of utmost importance for a…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Marco A. A. de Paula , Haroldo C. D. Lima , Pedro V. P. Cunha , Carlos A. R. Herdeiro , Luís C. B. Crispino

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

The electromagnetic (EM) perturbations of the black hole solutions in general relativity coupled to nonlinear electrodynamics (NED) are studied for both electrically and magnetically charged black holes, assuming that the EM perturbations…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Bobir Toshmatov , Zdeněk Stuchlík , Jan Schee , Bobomurat Ahmedov

Non-linear electrodynamics (NLED) theories are well-motivated extensions of QED in the strong field regime, and have long been studied in the search for regular black hole (BH) solutions. We consider two well-studied and well-motivated NLED…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Alireza Allahyari , Mohsen Khodadi , Sunny Vagnozzi , David F. Mota

Within nonlinear electrodynamics (NED), photons follow null geodesics of an effective geometry, which is different from the geometry of the spacetime itself. Over the last years, several works were dedicated to investigate the motion of…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Marco A. A. de Paula , Haroldo C. D. Lima Junior , Pedro V. P. Cunha , Luís C. B. Crispino

Recently, various types of regular black hole model are reintroduced as the solution of the Einstein equations coupled with nonlinear electrodynamics (NED). In NED, it is known that photons do not propagate along the null geodesics of the…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Shinya Tomizawa , Ryotaku Suzuki

In this paper, we discuss the effects of nonlinear electrodynamics (NED) on non-rotating black holes, parametrized by the field coupling parameter $\beta$ and magnetic charge parameter $P$ in detail. Particularly, we survey physical…

General Relativity and Quantum Cosmology · Physics 2022-01-06 Mert Okyay , Ali Övgün

We obtain a magnetically charged regular black hole in general relativity. The source to the Einstein field equations is nonlinear electrodynamic field in a physically reasonable model of nonlinear electrodynamics (NED). "Physically" here…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Meng-Sen Ma

It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Kirill A. Bronnikov

We investigate the field-theoretic realization of regular black holes sourced by dark matter halo profiles within nonlinear electrodynamics (NED) minimally coupled to gravity. Starting from a static, spherically symmetric geometry…

General Relativity and Quantum Cosmology · Physics 2026-05-26 G. Alencar , C. R. Muniz , Francisco Tello-Ortiz

The electric and magnetic black hole solutions are found by coupling the recently introduced nonlinear electrodynamics (NED) model, called "double logharitmic nonlinear electrodynamics" with cosmological Einstein gravity. The solutions…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Ibrahim Gullu , S. Habib Mazharimousavi

We construct Einstein-Maxwell-Scalar (EMS) theories that admit regular electric black holes. Such a Maxwell-scalar theory is equivalent to some nonlinear electrodynamics (NLED) at the level of equations of motion, but it has the advantage…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Zhi-Chao Li , H. Lu

We study solutions in non-linear electrodynamics (NED) and establish several general results. We show, that the $SO(2)$ electric-magnetic duality symmetry is restrictive enough to allow for reconstruction of the NED Lagrangian from the…

High Energy Physics - Theory · Physics 2022-09-21 Karapet Mkrtchyan , Mantas Svazas

Starting from the most general action in Einstein-Dilaton-Nonlinear Electrodynamics (NED) theory, we obtain the field equations. We apply the field equations for the specific NED known as the Liouville type plus a cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2023-08-15 S. Habib Mazharimousavi , Kanishk Verma

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

We study spherically symmetric magnetically charged generic black hole solutions of general relativity coupled to non-linear electrodynamics (NED). For characteristic values of the generic spacetime parameters we give the position of…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Jaroslav Vrba , Ahmadjon Abdujabbarov , Arman Tursunov , Bobomurat Ahmedov , Zdeněk Stuchlík

We consider static, spherically symmetric solutions of 5D general relativity with magnetic fields governed by nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_{AB} F^{AB}$, and show that generic solutions describe either…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova

In this work, we investigate the coupling of General Relativity with Nonlinear Electrodynamics (NED), governed by a general Lagrangian $\mathcal{L}(\mathcal{F})$, to address the axial singularity of four-dimensional black strings. Through a…

General Relativity and Quantum Cosmology · Physics 2026-04-16 G. Alencar , V. H. U. Borralho , T. M. Crispim , M. S. Cunha

It is shown that anisotropic matter black holes with two parameters $w$ and $K$ correspond to nonlinear electrodynamics (NED) black holes with power-index $s$ and charge term $\xi(s,q)$ by introducing a NED term. These NED black holes…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Yun Soo Myung , Wonwoo Lee
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