Fermionic greybody factors of two and five-dimensional dilatonic black holes

TL;DR

This paper investigates fermionic perturbations around two and five-dimensional dilatonic black holes, calculating their absorption properties and revealing frequency-dependent behaviors and effects of angular momentum and mass.

Contribution

It provides the first detailed analysis of fermionic greybody factors in these specific dilatonic black hole backgrounds, including numerical results on absorption cross sections.

Findings

Absorption cross section vanishes at low and high frequencies.

For five-dimensional black holes, cross section becomes constant beyond a certain horizon radius.

Cross section decreases with higher angular momentum and fermion mass.

Abstract

We study fermionic perturbations in the background of a two and five-dimensional dilatonic black holes. Then, we compute the reflection and transmission coefficients and the absorption cross section for fermionic fields, and we show numerically that the absorption cross section vanishes in the low and high frequency limit. Also we find that beyond a certain value of the horizon radius $r_0$ the absorption cross section for five-dimensional dilatonic black hole is constant. Besides, we have find that the absorption cross section decreases for higher angular momentum, and it decreases when the mass of the fermionic field increases.