Scattering and absorption sections of nonlinear electromagnetic black holes

Abstract

The expression of the impact parameter, in the analysis for classical and semiclassical scattering cross sections for black holes, is obtained with nonlinear electrodynamics (NLED) while the absorption section is studied with the sinc approximation in the eikonal limit considering NLED. As an illustration, we calculate the classical and semiclassical scattering as well as the absorption sections for three black holes under NLED, the regular magnetic Bardeen and Bronnikov black holes and the singular Euler-Heisenberg black hole. All are compared with the sections of their linear electromagnetic counterpart, the Reissner-Nordstrom (RN) black hole. The comparison shows how NLED affects the sections as well as the variation with respect to the Reissner-Nordstrom sections, in some cases these variations are small.

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