Scattering of massless scalar field by charged dilatonic black holes

TL;DR

This paper investigates how charged dilatonic black holes scatter massless scalar fields using full wave theory, revealing the influence of black hole charge on scattering cross sections and comparing different approximation methods.

Contribution

The study applies the full wave theory and Regge pole approach to analyze scalar scattering by charged dilatonic black holes, highlighting the effects of charge and improving approximation techniques.

Findings

More Regge poles are needed as black hole charge increases.

Full wave theory provides more accurate scattering cross sections.

Comparison shows improvements over classical and semi-classical methods.

Abstract

Wave propagations in the presence of black holes is a significant problem both in theoretical and observational aspects, especially after the discovery of gravitational wave and confirmation of black holes. We study the scattering of massless scalar field by a charged dilatonic black hole in frame of full wave theory. We apply partial wave method to obtain the scattering cross sections of the scalar field, and investigate how the black hole charge affects the scalar scattering cross sections. Furthermore, we investigate the Regge pole approach of the scattering cross section of the dilatonic black hole. We find that in order to obtain results at the same precision, we need more Regge poles as the black hole charge increases. We compare the results in the full wave theory and results in the classical geodesic scattering and the semi-classical glory approximations, and demonstrate the improvements and power of our approach.