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 → ∞ and r → 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.The units with c = = 1, ε 0 = μ 0 = 1 are used and the metric signature is η = diag(

Gravitational Lensing in a Model of Nonlinear Electrodynamics: The Case for Electrically and Magnetically Charged Compact Objects

“…Very recently, a new model of NED has been proposed by Kruglov, [22] by the following Lagrangian density…”

“…Kruglov has found magnetically charged black hole solutions in the context of NED via the model presented in ref. [22]. The metric function describing magnetically charged black hole geometry is given by assuming  = B 2 2 = q 2 2r 4 .…”

“…In this paper, we consider a different model of NED proposed by Kruglov. [22] According to this model, static spherically symmetric magnetically and electrically charged black hole solutions are given, respectively, by Kruglov [22] himself and Mazharimousavi-Halilsoy. [23] The purpose of the present study is to investigate whether the strong electric and magnetic fields predicted by this model of NED has an imprint on the astrophysically observable phenomena known as the bending angle of light.…”

“…In doing so, the solutions presented in refs. [22,23], will be incorporated. The solution presented in ref.…”

“…To study the effect of strong magnetic field, we consider quark stars yet to be discovered in conjunction with the solution presented in ref. [22].…”