Nonlinear electrodynamics and magnetic black holes

Abstract

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 $r\to \infty$ and $r\to 0$, and corrections to the Reissner-Nordström solution are found. We investigate thermodynamics of black holes and calculate the Hawking temperature and heat capacity of black holes. It is shown that there are phase transitions and at some parameters of the model black holes are stable.

14 pages, 6 figures, 2 tables

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• AdS black holes in the framework of nonlinear electrodynamics, thermodynamics and Joule--Thomson expansion
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• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Novel charged black hole solutions of Born-Infeld type: General properties, Smarr formula and Quasinormal frequencies
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• Gravitational Lensing in a Model of Nonlinear Electrodynamics: The case for electrically and magnetically charged compact objects
• Nonlinear electrodynamics without singularities
• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• Quantum Probe of Time-like Naked Singularities for Electrically and Magnetically Charged Black Holes in a Model of Nonlinear Electrodynamics