Shadow and geometric scattering analysis of a new black hole with magnetic charge

TL;DR

This paper introduces a new magnetically charged black hole solution, analyzes its shadow and scattering properties, and compares these features with observational data to understand its physical implications.

Contribution

It presents a novel black hole solution with magnetic charge from Einstein-nonlinear electrodynamics and analyzes its shadow and scattering characteristics.

Findings

Shadow radii match Reissner-Nordström black holes for certain parameters.

Existence of naked singularities in specific solution branches.

Constraints from EHT observations on certain black hole branches.

Abstract

We obtain a newly charged black hole with magnetic charge $q$ and coupling constant $\mu$ from the Einstein-nonlinear electrodynamics theory inspired by quasi-topological terms. We perform the shadow and geometric scattering analysis of this black hole. For $\mu=0.01$, we have four solution branches labelled by $2\pm$, 3, and 4 of the horizon, while there exists a single branch labelled by 2 for $\mu=0.1$. There is the naked singularity (NS) arisen from the magnetic charge extension of the photon spheres for the 3 and 4-branches. In case of $q<1$, shadow radii of the $2$-branch with $\mu$=0.01 and 0.1 are the same as that of the Reissner-Nordstr\"om black hole, while the 3-NS branch of $q>1$ is constrained by the EHT observation. The geometric scattering analysis is performed to understand the peculiar forms of the critical impact factors.