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In this letter we introduce the noncommutative geometry into the standard Einstein-Hilbert-Maxwell action via the $\partial_t\wedge\partial_\varphi$ Drinfeld twist and solve the equation of motion pertubatively in the expansion of the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Filip Požar

Within the framework of noncommutative (NC) deformation of gauge field theory by the angular twist, we first rederive the NC scalar and gauge field model from our previous papers and then generalize it to the second order in the…

High Energy Physics - Theory · Physics 2025-01-15 Marija Dimitrijević Ćirić , Tajron Jurić , Nikola Konjik , Andjelo Samsarov , Ivica Smolić

A new dyonic solution for black holes with spherically symmetric configurations in general relativity is obtained. We study black holes possessing electric and magnetic charges, and the source of the gravitational field is electromagnetic…

General Relativity and Quantum Cosmology · Physics 2019-09-17 S. I. Kruglov

In this paper we define a causal Lorentz covariant noncommutative (NC) classical Electrodynamics. We obtain an explicit realization of the NC theory by solving perturbatively the Seiberg-Witten map. The action is polynomial in the field…

High Energy Physics - Theory · Physics 2014-11-18 G. Berrino , S. L. Cacciatori , A. Celi , L. Martucci , A. Vicini

Five-dimensional Kaluza-Klein theory with an Einstein-Gauss-Bonnet Lagrangian induces nonlinear corrections to the four-dimensional Maxwell equations, which however remain second order. Although these corrections do not have effect on the…

General Relativity and Quantum Cosmology · Physics 2022-08-31 S. Mignemi

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 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

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

We derive the equations of motion governing static dyonic matters, described in terms of two real scalar fields, in nonlinear electrodynamics of the Born--Infeld theory type. We then obtain exact finite-energy solutions of these equations…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Yisong Yang

The nonlinear Maxwell Lagrangian preserving both conformal and SO(2) duality-rotation invariance has been introduced very recently. Here, in the context of Einstein's theory of gravity minimally coupled with this nonlinear electrodynamics,…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Z. Amirabi , S. Habib Mazharimousavi

We show how (at least in principle) one can construct electrically and magnetically charged slowly rotating black hole solutions coupled to non-linear electrodynamics (NLE). Our generalized Lense-Thirring ansatz is, apart from the static…

General Relativity and Quantum Cosmology · Physics 2022-05-13 David Kubiznak , Tayebeh Tahamtan , Otakar Svitek

Huge electromagnetic fields are known to be present during the late stages of the dynamics of supernovae. Thus, when dealing with electrodynamics in this context, the possibility may arise to probe nonlinear theories (generalizations of the…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Herman J. Mosquera Cuesta , Gaetano Lambiase , Jonas P. Pereira

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

We calculate leading long-distance noncommutative corrections to the classical Schwarzschild black hole which is sourced by a massive noncommutative scalar field. The energy-momentum tensor is taken up to ${\cal O}(\ell^4)$ in…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Archil Kobakhidze

We develop a nonlinear perturbation theory of Reissner-Nordstr\"om black holes. We show that, at each perturbation level, Einstein-Maxwell equations can be reduced to four inhomogeneous wave equations, two for polar and two for axial…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Mieszko Rutkowski

We consider spherically symmetric configurations in general relativity, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant $f = F_{\mu\nu} F^{\mu\nu}$. Static black hole and…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov

For generic theories of nonlinear electrodynamics (NLED) we investigate the implications of (a)causality on spherically-symmetric solutions of the Einstein-NLED equations that are asymptotic to a Reissner-Nordstr\"om (RN) spacetime.…

High Energy Physics - Theory · Physics 2026-05-06 Jorge G. Russo , Paul K. Townsend

We develop a unified framework for analyzing black hole thermodynamics and spacetime structure in Einstein gravity coupled to causal nonlinear electrodynamics (NED) in asymptotically anti-de Sitter backgrounds. The electromagnetic sector is…

High Energy Physics - Theory · Physics 2026-03-24 H. Babaei-Aghbolagh , Komeil Babaei Velni , Song He , Fateme Isapour

We consider static, spherically symmetric configurations in general relativity, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant $f = F_{\mu\nu} F^{\mu\nu}$. After a brief…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov

We present a self-contained and consistent formulation of noncommutative (NC) gauge theory of gravity, focusing on spherically symmetric black hole geometries. Our construction starts from the gauge-theoretic viewpoint of Poincar\'{e} (or…

High Energy Physics - Theory · Physics 2025-05-20 Tajron Jurić , A. Naveena Kumara , Filip Požar
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