Greybody factors for a minimally coupled scalar field in three-dimensional Einstein-power-Maxwell black hole background

TL;DR

This paper analyzes how scalar fields interact with a specific three-dimensional charged black hole, providing analytical formulas for reflection and absorption, and exploring their behavior across different parameters.

Contribution

It offers the first analytical expressions for reflection and absorption cross-sections of scalar fields in Einstein-power-Maxwell black holes in three dimensions.

Findings

Analytical formulas for reflection coefficient and absorption cross-section.

Behavior of these quantities as functions of frequency and parameters.

Graphical analysis illustrating parameter effects.

Abstract

In the present work we study the propagation of a probe minimally coupled scalar field in Einstein-power-Maxwell charged black hole background in (1+2) dimensions. We find analytical expressions for the reflection coefficient as well as for the absorption cross-section in the low energy regime, and we show graphically their behaviour as functions of the frequency for several values of the free parameters of the theory.