Comments on absorption cross section for Chern-Simons black holes in five dimensions

TL;DR

This study investigates how black hole mass influences the low-frequency absorption cross section of a massive scalar field in five-dimensional Chern-Simons black holes, revealing branch-dependent behaviors and a frequency threshold beyond which mass effects vanish.

Contribution

It provides a detailed analysis of the mass dependence of absorption cross sections in 5D Chern-Simons black holes, highlighting differences between solution branches and frequency effects.

Findings

Absorption cross section decreases with mass for branch α=-1 at zero frequency.

Absorption cross section increases with mass for branch α=1 at zero frequency.

Mass effects become negligible beyond a certain frequency.

Abstract

In this paper we study the effects of black hole mass on the absorption cross section for a massive scalar field propagating in a 5-dimensional topological Chern-Simons black hole at the low-frequency limit. We consider the two branches of black hole solutions $(\alpha=\pm 1)$ and we show that, if the mass of black hole increase the absorption cross section decreases at the zero-frequency limit for the branch $\alpha=-1$ and for the other branch, $\alpha=1$, the behavior is opposite, if the black hole mass increase the absorption cross section increases. Also we find that beyond a certain frequency value, the mass black hole does not affect the absorption cross section.