Scattering properties of charged black holes in nonlinear and Maxwell's electrodynamics

TL;DR

This paper studies how massless scalar waves scatter off charged regular black holes, comparing numerical results with classical and semiclassical methods, and finds similar scattering behaviors between different black hole types at low charges.

Contribution

It provides a detailed numerical analysis of scalar wave scattering on Ayón-Beato-García black holes and compares results with classical and semiclassical approximations.

Findings

Numerical scattering cross sections match classical and semiclassical results in certain limits.

Ayón-Beato-García and Reissner-Nordström black holes exhibit similar scattering properties at low charges.

The study extends understanding of wave scattering in nonlinear electrodynamics black hole backgrounds.

Abstract

We investigate the scattering properties of a massless scalar field in the background of a charged Ay\'on-Beato-Garc\'ia regular black hole solution. Using a numerical approach, we compute the differential scattering cross section for arbitrary values of the scattering angle and of the incident wave frequency. We compare our results with those obtained via the classical geodesic scattering of massless particles, as well as with the semiclassical glory approximation, and show that they present an excellent agreement in the corresponding limits. We also show that Ay\'on-Beato-Garc\'ia and Reissner-Nordstr\"om black hole solutions present similar scattering properties, for low-to-moderate values of the black hole electric charge, for any value of the scattering angle.