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A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and mass functions at $r\rightarrow\infty$ and…

General Relativity and Quantum Cosmology · Physics 2017-08-24 S. I. Kruglov

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

The Bronnikov model of nonlinear electrodynamics is investigated in general relativity. The magnetic black hole is considered and we obtain a solution giving corrections to the Reissner-Nordstr\"{o}m solution. In this model spacetime at…

General Relativity and Quantum Cosmology · Physics 2018-05-24 S. I. Kruglov

Motivated by a new model of nonlinear electrodynamics known as Modified Maxwell (ModMax) theory, an exact analytical solution for black holes is obtained by coupling ModMax nonlinear electrodynamics and $F(R)$ gravity. Then, the effects of…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Behzad Eslam Panah

We investigate a Born--Infeld-type model of nonlinear electrodynamics, possessing three parameters, coupled with general relativity. As a particular case Born--Infeld electrodynamics is reproduced. There is no singularity of the electric…

General Relativity and Quantum Cosmology · Physics 2021-10-22 S. I. Kruglov

A new model of nonlinear electrodynamics with two parameters is proposed. We study the phenomenon of vacuum birefringence, the causality and unitarity in this model. There is no singularity of the electric field in the center of point-like…

General Relativity and Quantum Cosmology · Physics 2019-03-18 S. I. Kruglov

In this paper, we study charged black hole solutions in 4-dimensional Einstein-Gauss-Bonnet gravity combined with ModMax nonlinear electrodynamics. This is a conformally invariant extension of Maxwell theory that effectively describes…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Bilel Hamil

We perform the gauge covariant quantization of the exponential model of nonlinear electrodynamics. Magnetically charged black holes, in the framework of our model are considered, and the regular black hole solution is obtained in general…

General Relativity and Quantum Cosmology · Physics 2017-03-14 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

Theories of non-linear electrodynamics naturally describe deviations from Maxwell's theory in the strong field regime. Among these, of special interest is the recently discovered ModMax electrodynamics, which is a unique 1-parametric…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Jose Barrientos , Adolfo Cisterna , David Kubiznak , Julio Oliva

Motivated by a new interesting nonlinear electrodynamics (NLED) model which is known as Modification Maxwell (ModMax) theory, we obtain an exact analytic BTZ black hole solution in the presence of a new NLED model and the cosmological…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Behzad Eslam Panah

This paper explores the properties of black holes using a new model of nonlinear electrodynamics called modified Maxwell (ModMax), in conjunction with nonlinear massive gravity known as dRGT-like massive gravity. We start by deriving the…

General Relativity and Quantum Cosmology · Physics 2025-07-11 B. Eslam Panah

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

By considering a new model of nonlinear electrodynamics, known as the modified Maxwell (ModMax), and taking into account the topological and the cosmological constants in Einstein's gravity, we extract black hole solutions called…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Behzad Eslam Panah , Angel Rincon , Narges Heidari

Some very interesting solutions of the field equations of Einstein's general theory of relativity have been constructed in the framework of nonlinear electrodynamics. In particular, magnetically charged black hole solutions in the framework…

General Relativity and Quantum Cosmology · Physics 2019-04-12 Askar Ali , Khalid Saifullah

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

In this paper, we investigate the thermodynamics of dyonic black holes in the presence of Born-Infeld electromagnetic field. We show that electric-magnetic duality reported for dyonic solutions with Maxwell field is omitted in case of…

General Physics · Physics 2019-11-15 S. Panahiyan

The principles of causality and unitarity are studied within rational nonlinear electrodynamics proposed earlier. We investigate dyonic and magnetized black holes and show that in the self-dual case, when the electric charge equals the…

General Physics · Physics 2024-03-26 S. I. Kruglov

We construct several charged regular black hole metrics employing mass distribution functions which are inspired by continuous probability distributions. Some of these metrics satisfy the weak energy condition and asymptotically behave as…

General Relativity and Quantum Cosmology · Physics 2014-12-24 Leonardo Balart , Elias C. Vagenas

Exact solutions describing multiple, electrically charged black holes (BHs) in a model of nonlinear electrodynamics (NLE) minimally coupled to Einstein's gravity are presented. The NLE model is ModMax theory, that has attracted much…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Ana Bokulić , Carlos A. R. Herdeiro
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