Greybody Factors of Massive Charged Fermionic Fields in a Charged Two-Dimensional Dilatonic Black Hole

TL;DR

This paper analytically investigates how massive charged fermionic fields interact with a charged two-dimensional dilatonic black hole, focusing on reflection, transmission, and absorption properties across different frequencies.

Contribution

It provides an analytical solution to the Dirac equation in this black hole background and explores the effects of mass and charge on absorption cross sections.

Findings

Absorption cross section vanishes at low and high frequencies.

There exists a frequency range with non-zero absorption.

Mass and charge influence the absorption behavior.

Abstract

We study massive charged fermionic perturbations in the background of a charged two-dimensional dilatonic black hole, and we solve the Dirac equation analytically. Then, we compute the reflection and transmission coefficients and the absorption cross section for massive charged fermionic fields, and we show that the absorption cross section vanishes at the low and high frequency limits. However, there is a range of frequencies where the absorption cross section is not null. Furthermore, we study the effect of the mass and electric charge of the fermionic field over the absorption cross section.