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We investigate dyonic black holes in a weak field expansion of non-linear electrodynamics. The breadth of parameter space permits a rich thermodynamic structure, additional turning points and intricate phase phenomena. Energy conditions are…

High Energy Physics - Theory · Physics 2025-10-07 Lewis Croney , Ruth Gregory , Carlos J. Ramírez-Valdez

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

We construct a Lagrangian and Hamiltonian formulation for charged black holes in a d-dimensional maximally symmetric spherical space. By considering first new variables that give raise to an interesting dimensional reduction of the problem,…

General Relativity and Quantum Cosmology · Physics 2013-06-13 J. A. Nieto , E. A. Leon , V. M. Villanueva

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca…

High Energy Physics - Theory · Physics 2018-03-14 Zhong-Ying Fan

We propose to unify two a priori distinct aspects of black hole physics : their thermodynamics, and their effective dynamics when they are "skeletonized" as point particles (a useful procedure when tackling, for example, their motion in a…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Marcela Cárdenas , Félix-Louis Julié , Nathalie Deruelle

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

We obtain a family of exact solutions describing magnetized black holes in an external gravitational field. Locally the solutions can be interpreted as representing the near-horizon region of a black hole, which interacts with a surrounding…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev

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 present a procedure that transforms a singular, asymptotically flat, static and spherically symmetric black hole into a regular black hole spacetime. The regular black hole is a solution of General Relativity theory coupled to nonlinear…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Pedro Cañate , Santiago Esteban Perez Bergliaffa

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

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

By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Mohsen Dehghani

We present a new class of regular, spherically symmetric spacetimes in nonlinear electrodynamics that are asymptotically dynamical but not de Sitter, exhibiting power-law Maxwell behavior at infinity. Generalizing to black holes, we derive…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Yi-bo Liang , Hong-Rong Li

Employing two classes of nonlinear electrodynamics, we obtain topological black hole solutions of Gauss-Bonnet gravity. We investigate geometric properties of the solutions and find that there is an intrinsic singularity at the origin. We…

General Relativity and Quantum Cosmology · Physics 2015-07-13 S. H. Hendi , S. Panahiyan , E. Mahmoudi

To construct new Schwarzschild and Kerr-Newman metric solutions, we start from the Lagrangian in entropy and statistical mechanics, introducing $f(R)$ gravity theory and dark energy definitions. Through a series of calculations, we derive…

General Physics · Physics 2024-05-27 Wen-Xiang Chen , Yao-Guang Zheng

We discuss a class of solutions of multidimensional gravity which are formally related to black-hole solutions but can observationally look like compact stars whose surface reflects back all particles or signals getting there. Some…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova

We present a general procedure for constructing exact black hole solutions with electric or magnetic charges in General Relativity coupled to a nonlinear electrodynamics. We obtain a variety of two-parameter family spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Zhong-Ying Fan , Xiaobao Wang

We introduce two new static, spherically symmetric regular black hole solutions that can be obtained from non-linear electrodynamics models. For each solution, we investigate the dynamic stability with respect to arbitrary linear…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Leonardo Balart , Grigoris Panotopoulos , Angel Rincon

The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ay\'on-Beato and…

High Energy Physics - Theory · Physics 2009-11-11 Waldemar Berej , Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Woronowicz

In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh
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