https://doi.org/10.1140/epjp/s13360-022-02916-z
Regular Article
Scattering properties of charged black holes in nonlinear and Maxwell’s electrodynamics
1
Programa de Pós-Graduação em Física, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
2
Campus Altamira, Instituto Federal do Pará, 68377-630, Altamira, Pará, Brazil
Received:
14
May
2022
Accepted:
3
June
2022
Published online:
7
July
2022
We investigate the scattering properties of a massless scalar field in the background of a charged Ayón-Beato-García 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 Ayón-Beato-García and Reissner-Nordström 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022