Absorption and scattering of a high dimensional noncommutative black hole

TL;DR

This paper studies how massless scalar waves scatter and are absorbed by high-dimensional noncommutative black holes, revealing how noncommutative parameters affect scattering behavior and absorption cross sections.

Contribution

It provides a detailed numerical analysis of scattering and absorption cross sections for high-dimensional noncommutative black holes using the partial wave approach, highlighting the effects of noncommutative parameters.

Findings

Absorption cross section decreases with larger noncommutative parameter.

Low-frequency absorption oscillates when the noncommutative parameter is weak.

Total absorption approaches the geometrical optical limit at high frequencies.

Abstract

In this work, we investigate the scattering of massless plane scalar waves by the high dimensional noncommutative Schwarzschild-Tangherlini black hole. We use the partial wave approach to determine the scattering and absorption cross sections in the incident wavelength range. Our numerical results demonstrate that the bigger the noncommutative parameter, the smaller the maximum value of the related partial absorption cross section, however the tendency is slightly. We also discovered that when the noncommutative parameter is weak, the absorption cross section of the high dimensional black hole oscillates in the low frequency zone. The total absorption cross section oscillates around the geometrical optical limit in the high frequency range, and the scattering characteristics of black holes with various parameters are visibly different. The influence on the differential scattering cross section is particularly pronounced at large angles.