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We study black hole solutions at first order in the Hartle-Thorne slow-rotation approximation in Horndeski gravity theories. We derive the equations of motion including also cases where the scalar depends linearly on time. In the…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Andrea Maselli , Hector O. Silva , Masato Minamitsuji , Emanuele Berti

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

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

General Relativity and Quantum Cosmology · Physics 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

We obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Manuel E. Rodrigues , Ednaldo L. B. Junior , Glauber T. Marques , Vilson T. Zanchin

We present a generalization of the black hole solution with spherical symmetry already known in the literature for $N$-dimensional $F(R)$ gravity with a conformally invariant Maxwell field and constant scalar curvature $R$. This solution…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

We investigate the thermodynamic properties, light deflection, and orbital dynamics of regular magnetically charged black holes (NRCBHs) arising from nonlinear electrodynamics (NED) coupled to general relativity. The metric function $f(r)$…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Ekrem Aydiner , Erdem Sucu , İzzet Sakallı

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 investigate the axial electromagnetic quasinormal modes of a static, asymptotically Anti--de Sitter (AdS) black hole sourced by a nonlinear electrodynamics model of Pleba\'{n}ski type. Starting from the master equation governing axial…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Mohsen Fathi , Ariel Guzmán , J. R. Villanueva

In this work, we study the possibility of generalizing solutions of regular black holes with an electric charge, constructed in general relativity, for the $f(G)$ theory, where $G$ is the Gauss-Bonnet invariant. This type of solution arises…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Marcos V. de S. Silva , Manuel E. Rodrigues

Non-linear electrodynamics (NLED) is a generalization of Maxwell's electrodynamics for strong fields. It could have significant implications for the study of black holes and cosmology and have been extensively studied in the literature,…

General Relativity and Quantum Cosmology · Physics 2023-04-06 Amodio Carleo , Gaetano Lambiase , Ali Övgün

We explore quantum corrections of electrically charged black holes subject to vacuum polarization effects of fermion fields in QED. Solving this problem exactly is challenging so we restrict to perturbative corrections that one can obtain…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Adrián del Río , Evelyn-Andreea Ester

Taking the Noether gauge symmetry approach into account, we find spherically symmetric static black hole solutions of the non-minimal gauge-gravity Lagrangian of the $\mathcal{R}^\beta F^2$ model. At first, we consider a system of…

General Relativity and Quantum Cosmology · Physics 2023-11-13 S. Mahmoudi , S. Hajkhalili , S. H. Hendi

Generalizing of the Maxwell field to nonlinear electrodynamics theories, we look for the magnetic solutions. In initial approximation these models give the usual linear electrodynamics. We consider a suitable metric and investigate the…

General Physics · Physics 2014-05-28 S. H. Hendi

In this paper, we demonstrate that a linear electromagnetic matter source can be constructed for regular black hole solutions, illustrated by the case of the Bardeen black hole. Our method relies on coupling a scalar field and its potential…

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

In this paper we consider a rotating black hole with electric and magnetic monopole charges that moves in a static homogeneous electromagnetic field. We assume that both the charges and the fields are weak, so that they have no effect on…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Valeri P. Frolov , Alex Koek

We consider charged rotating black holes in 5-dimensional Einstein-Maxwell theory. These black holes are asymptotically flat, they possess a regular horizon of spherical topology and two independent angular momenta associated with two…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida , Anna Katinka Petersen

In recent years higher-dimensional black holes have attracted much interest because of various developments in gravity and high energy physics. But whereas higher-dimensional charged static (Tangherlini) and uncharged rotating (Myers-Perry)…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

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