QED Effect on Black Hole Shadow

TL;DR

This paper explores how quantum electrodynamics (QED) effects influence the shadows of static black holes with magnetic monopoles and in magnetic fields, revealing small deviations from classical shapes and establishing relations with coupling constants.

Contribution

It introduces a numerical method to analyze black hole shadows considering QED effects, including magnetic monopoles, magnetic fields, and current loops, highlighting new shadow shape relations.

Findings

Shadow radius relates to the coupling constant for magnetic monopoles.

Shadow curves deviate slightly from ellipses in magnetic fields.

Eccentricity of shadows linearly correlates with the coupling constant.

Abstract

In this work, taking the QED effect into account, we investigate the shadows of the static black hole with magnetic monopoles and neutral black holes in magnetic fields through the numerical backward ray-tracing method. For a static black holes with magnetic monopole, we obtain the relation between the shadow radius and the coupling constant. For neutral black holes in the uniform magnetic fields, we find that the shadow curves deviate very small from the ellipses for equatorial observer, and we read the linear relation between the eccentricity and the coupling constant. For $\theta_o\neq\pi/2$, we find that the shadow curves can be well approximated by ellipses in most cases, except the case that the magnetic field is very strong and the observer sits around the angle $\theta_o=\pi/4$ or $3\pi/4$. Moreover we extend our investigation to a neutral static black hole surrounded with a current loop.