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Dyonic and magnetic black holes solutions with spherically symmetric configurations in general relativity are obtained. Black holes possessing electric and magnetic charges are studied where the source of the gravitational field is…

General Relativity and Quantum Cosmology · Physics 2019-11-12 S. I. Kruglov

The stability of three static and spherically symmetric black hole solutions with nonlinear electromagnetism as a source is investigated in three different ways. We show that the specific heat of all the solutions displays an infinite…

General Relativity and Quantum Cosmology · Physics 2014-02-13 Nora Bretón , Santiago Esteban Perez Bergliaffa

We study the thermodynamical properties of electrically charged black hole solutions of a nonlinear electrodynamics theory defined by a power p of the Maxwell invariant, which is coupled to Einstein gravity in four and higher spacetime…

High Energy Physics - Theory · Physics 2013-05-29 Hernan A. Gonzalez , Mokhtar Hassaine , Cristian Martinez

This paper investigates thermodynamics, quasi-normal modes, thermal fluctuations and phase transitions of Reissner-Nordstr\"om black hole with the effects of non-linear electrodynamics. We first compute the expressions for Hawking…

General Relativity and Quantum Cosmology · Physics 2022-05-10 M. Sharif , Amjad Khan

A new generalized ModMax model of nonlinear electrodynamics with four parameters is proposed. The ModMax model and Born--Infeld-type electrodynamics are particular cases of the present model It is shown that a singularity of the electric…

General Physics · Physics 2021-10-04 S. I. Kruglov

Static black hole with the Power Maxwell invariant (PMI), Born-Infeld (BI), logarithmic (LN), exponential (EN) electromagnetic fields in three-dimensional spacetime with cosmological constant was studied. It was shown that the LN and EN…

General Relativity and Quantum Cosmology · Physics 2023-04-06 Mykhailo Tataryn , Mykola Stetsko

We start this paper by concisely rederiving ModMax, which is nothing but the unique nonlinear extension of Maxwell's equations preserving conformal and duality invariance. The merit of this new derivation is its transparency and simplicity…

High Energy Physics - Theory · Physics 2024-09-10 Eloy Ayón-Beato , Daniel Flores-Alfonso , Mokhtar Hassaine

We investigated the regular multi-horizon black holes in the Einstein gravity, $F(R)$ gravity and the 5 dimensional Gauss-Bonnet gravity, all of them coupled with non-linear electrodynamics. We presented several explicit examples of the…

High Energy Physics - Theory · Physics 2017-11-22 Shin'ichi Nojiri , S. D. Odintsov

Based on a regular exact black hole (BH) from nonlinear electrodynamics (NED) coupled to General Relativity, we investigate its stability of such BH through the Quasinormal Modes (QNMs) of electromagnetic (EM) field perturbation and its…

General Relativity and Quantum Cosmology · Physics 2015-03-25 Jin Li , Kai Lin , Nan Yang

The thermodynamics of black holes is reformulated within the context of the recently developed formalism of geometrothermodynamics. This reformulation is shown to be invariant with respect to Legendre transformations, and to allow several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hernando Quevedo

We investigate Einstein-Gauss-Bonnet (EGB) 4D massive gravity coupled to nonlinear electrodynamics (NED) in an Anti-de-Sitter (AdS) background and find an exact magnetically charged black hole solution. The metric function was analyzed for…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Prosenjit Paul , S. I. Kruglov

We explore dynamical features of the maximally symmetric nonlinear extension of classical electromagnetism, recently proposed in the literature as ``ModMax'' electrodynamics. This family of theories is the only one that preserves all the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Juan Manuel Diaz , Marcelo E. Rubio

The thermodynamics of a magnetised Kerr-Newman black hole is studied to all orders in the appended magnetic field $B$. The asymptotic properties of the metric and other fields are dominated by the magnetic flux that extends to infinity…

High Energy Physics - Theory · Physics 2014-02-26 G. W. Gibbons , Yi Pang , C. N. Pope

In this work, we derive an exact black hole solution in higher-order curvature gravity by coupling an electromagnetic sector formulated within the ModMax framework to a quintessence dark energy component. Focusing on purely electrically…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Ahmad Al-Badawi , Usman Zafar , Abdul Jawad , Kazuharu Bamba

We study the properties of a nonlinear magnetic-charged black hole in the presence of a phantom global monopole. By incorporating nonlinear electrodynamics (NLE) and exotic scalar fields, we derive an exact black hole solution and analyze…

General Relativity and Quantum Cosmology · Physics 2025-10-13 B. Hamil , B. C. Lütfüoğlu

In mimetic gravity, we derive $D$-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-02-06 G. G. L. Nashed , W. El Hanafy , Kazuharu Bamba

A thermodynamic analysis of the black hole solutions coming from the Einstein-Maxwell-Dilaton theory (EMD) in 4D is done. By consider the canonical and grand-canonical ensemble, we apply standard method as well as a recent method known as…

General Relativity and Quantum Cosmology · Physics 2012-06-08 Manuel E. Rodrigues , Zui A. A. Oporto

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

On the basis of two requirements: the avoidance of the curvature singularity and the Maxwell theory as the weak field limit of the nonlinear electrodynamics, we find two restricted conditions on the metric function of $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Yun He , Meng-Sen Ma

This work focuses on constructing electromagnetized black holes and vortex-like backgrounds within the framework of the ModMax theory--the unique nonlinear extension of Maxwell's theory that preserves conformal symmetry and electromagnetic…

General Relativity and Quantum Cosmology · Physics 2024-12-24 José Barrientos , Adolfo Cisterna , Mokhtar Hassaine , Konstantinos Pallikaris