Nonlinear electrodynamics and magnetic black holes

TL;DR

This paper explores a nonlinear electrodynamics model coupled with gravity, deriving magnetized black hole solutions, analyzing their thermodynamics, and identifying phase transitions and stability conditions.

Contribution

It introduces a new nonlinear electrodynamics model with two parameters and studies its effects on black hole solutions and thermodynamic properties.

Findings

Derived magnetized black hole solutions with nonlinear electrodynamics

Identified phase transitions in black hole thermodynamics

Found conditions for black hole stability

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 $r\rightarrow\infty$ and $r\rightarrow 0$, and corrections to the Reissner-Nordstr\"{o}m 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.