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In this article, we construct exact black hole solutions with many horizons (more than number two) in the Einstein-nonlinear electrodynamic theories. In particular, we acquire the explicit expression of nonlinear electrodynamic Lagrangian…

General Relativity and Quantum Cosmology · Physics 2021-09-17 Changjun Gao

It is argued that the nonintegrably singular energy density of the electron's electromagnetic field (in both the classical point-charge model and quantum electrodynamics) must entail very strong self-gravitational effects, which, via black…

High Energy Physics - Theory · Physics 2009-09-25 S. K. Kauffmann

General relativity coupled to nonlinear electrodynamics is known to have nonsingular black hole solutions. We investigate the existence conditions for such solutions in two-parameter Lagrangian ${\cal L} \left( {\cal F} , {\cal G} \right)$.…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Ren Tsuda , Ryotaku Suzuki , Shinya Tomizawa

An attempt is made in order to clarify the so called regular black holes issue. It is revisited that if one works within General Relativity minimally coupled with non linear source, mainly of electromagnetic origin, and within a static…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Stefano Chinaglia , Sergio Zerbini

We investigate static and rotating charged spherically symmetric solutions in the framework of $f({\cal R})$ gravity, allowing additionally the electromagnetic sector to depart from linearity. Applying a convenient, dual description for the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 G. G. L. Nashed , Emmanuel N. Saridakis

A new model of nonlinear electrodynamics with two parameters is proposed. We study the phenomenon of vacuum birefringence, the causality and unitarity in this model. There is no singularity of the electric field in the center of point-like…

General Relativity and Quantum Cosmology · Physics 2019-03-18 S. I. Kruglov

We study here some consequences of the nonlinearities of the electromagnetic field acting as a source of Einstein's equations on the propagation of photons. We restrict to the particular case of a ``regular black hole'', and show that there…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Novello , S. E. Perez Bergliaffa , J. M. Salim

A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and mass functions at $r\rightarrow\infty$ and…

General Relativity and Quantum Cosmology · Physics 2017-08-24 S. I. Kruglov

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shuang Yu , Changjun Gao

The thermodynamic inconsistency observed in regular black holes is resolved through the framework of reduced thermodynamic phase spaces. We demonstrate that regular black holes are essentially induced from singular black holes by adding an…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Meng-Sen Ma , Huai-Fan Li , Jian-Hua Shi

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

This is the second lecture of `RAGtime' series on electrodynamical effects near black holes. We will summarize the basic equations of relativistic electrodynamics in terms of spin-coefficient (Newman-Penrose) formalism. The aim of the…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Vladimir Karas

Employing the Noether charge technique and Visser's Euclidean approach the entropy of the nonlinear black hole described by the perturbative solution of the system of coupled equations of the quadratic gravity and nonlinear electrodynamics…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jerzy Matyjasek

We study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Z. Belkhadria , S. Mignemi , F. Paderi

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

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. The Einstein field…

High Energy Astrophysical Phenomena · Physics 2020-04-13 H. Mosquera Cuesta , G. Lambiase , J. P. Pereira

One of the long standing problems is a quest for regular black hole solutions, in which a resolution of the spacetime singularity has been achieved by some physically reasonable, classical field, before one resorts to the quantum gravity.…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Ana Bokulić , Tajron Jurić , Ivica Smolić

Regular black holes are imagined as solutions to Einstein's field equations, with no singularities, albeit characterized by the presence of an internal structure. With the intention not to use non-linear electrodynamics, we here propose to…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Orlando Luongo

This paper deals with the thermodynamical properties of black hole formulated in Einstein theory of relativity and associated with a nonlinear electromagnetic field. The transition of the black hole is analyzed using the parameters mass,…

General Relativity and Quantum Cosmology · Physics 2023-05-31 G. Abbas , R. H. Ali

In this work we investigate the thermodynamical properties and modified dynamics of black hole solutions in the semiclassical regime of affine coherent state quantization. Using the weak correspondence principle we build a semiclassical…

High Energy Physics - Theory · Physics 2014-09-26 Simone Zonetti