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We reconsider various C-metric spacetimes describing charged and (slowly) accelerating AdS black holes in different theories of (non-linear) electrodynamics and revisit their thermodynamic properties. Focusing first on the Maxwell theory,…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Tomáš Hale , David Kubizňák , Jana Menšíková , Robert B. Mann , Jiayue Yang

Recently Bandos, Lechner, Sorokin, and Townsend [Phys. Rev. D \textbf{102}, 121703 (2020)] proposed Modified Maxwell (ModMax) model of nonlinear duality-invariant conformal electrodynamics. Here, Generalized ModMax (GenModMax) model of…

General Physics · Physics 2022-03-23 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

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

In this work, we construct new classes of topological black hole solutions in anti-de Sitter (AdS) spacetime using a novel model of nonlinear electrodynamics called Modification Maxwell (ModMax) and Modification phantom or Modification…

General Relativity and Quantum Cosmology · Physics 2026-02-10 B. Eslam Panah , B. Hamil , Manuel E. Rodrigues

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

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

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

In this paper, we study an extended phase space thermodynamics of a nonlinearly charged AdS black hole. We examine both the local and global stabilities, and possible phase transition of the black hole solutions. Finally, we compute…

General Relativity and Quantum Cosmology · Physics 2020-03-31 S. N. Sajadi , N. Riazi , S. H. Hendi

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

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

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

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

It is well-known that with an appropriate combination of three Liouville-type dilaton potentials, one can construct charged dilaton black holes in an (anti)-de Sitter [(A)dS] spaces in the presence of linear Maxwell field. However,…

General Relativity and Quantum Cosmology · Physics 2018-05-23 S. Hajkhalili , A. Sheykhi

We derive new exact charged $d$-dimensional black hole solutions for quadratic teleparallel equivalent gravity, $f({\cal T})=a_0+a_1{\cal T}+a_2{\cal T}^2$, where $\cal T$ is the torsion scalar, in the case of non-linear electrodynamics. We…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Salvatore Capozziello , Gamal G. L. Nashed

ModMax electrodynamics is a remarkable example of nonlinear electrodynamics that preserves both conformal and duality invariance. When coupled to General Relativity, the resulting black hole solutions introduce a tunable nonlinearity…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Arturo Quispe Baptista , M. L. Peñafiel

In this paper, we consider quadratic Maxwell invariant as a correction to the Maxwell theory and study thermodynamic behavior of the black holes in Einstein and Gauss-Bonnet gravities. We consider cosmological constant as a thermodynamic…

General Relativity and Quantum Cosmology · Physics 2016-05-25 S. H. Hendi , S. Panahiyan , M. Momennia

We study thermodynamics and phase transitions of magnetically charged by nonlinear electrodynamics (NED) Anti-de Sitter (AdS) black holes in an extended phase space. The cosmological constant is treated as a thermodynamic pressure whereas…

General Physics · Physics 2022-08-30 S. I. Kruglov

We show how to obtain a consistent thermodynamic description of accelerating asymptotically AdS black holes, extending our previous results by including charge and rotation. We find that the key ingredient of consistent thermodynamics is to…

High Energy Physics - Theory · Physics 2019-05-31 Andres Anabalon , Finnian Gray , Ruth Gregory , David Kubiznak , Robert B. Mann

We investigate systematically the effect of the nonlinear correction to the usual Maxwell electrodynamics on the holographic dual models in the backgrounds of AdS black hole and AdS soliton. Considering three types of typical nonlinear…

High Energy Physics - Theory · Physics 2013-03-20 Zixu Zhao , Qiyuan Pan , Songbai Chen , Jiliang Jing
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