# Greybody factors for a minimally coupled massless scalar field in Einstein-Born-Infeld dilaton spacetime

## TL;DR

This paper derives analytical expressions for the absorption cross section and decay rate of a massless scalar field in Einstein-Born-Infeld dilaton black hole spacetime, illustrating how these quantities vary with different theory parameters.

## Contribution

It provides the first analytical calculations of scalar field absorption and decay in this specific black hole background, enhancing understanding of wave propagation in such theories.

## Key findings

- Analytical formulas for absorption cross section and decay rate.
- Graphical analysis of parameter effects on scalar field behavior.
- Insights into wave dynamics in Einstein-Born-Infeld dilaton black holes.

## Abstract

We have analyzed in detail the propagation of a minimally coupled massless scalar field in the gravitational background of a four-dimensional Einstein-Born-Infeld dilaton charged black hole. We have obtained analytical expressions for the absorption cross section as well as for the decay rate for the scalar field in the aforementioned spacetime, and we have shown graphically its behavior for different values of the free parameters of the theory.