# Scalar scattering from charged black holes on the brane

## TL;DR

This paper investigates how scalar waves scatter off charged black holes on a brane, combining numerical and analytical methods to understand the effects of charge and spacetime dimensions on scattering patterns.

## Contribution

It provides a comprehensive analysis of scalar scattering from charged brane black holes, including new numerical and analytical comparisons and effects of charge on scattering features.

## Key findings

- Charge increases the width of interference fringes.
- Analytical and numerical results show excellent agreement.
- Charge and dimensionality influence scattering flux intensity.

## Abstract

The differential scattering cross section of the massless scalar field localized on the 3-brane of charged static black holes in the ADD model is analyzed. While results valid in the entire range of scattering angle can be obtained only via a numerical approach, analytical results can be obtained via the geodesic and glory approximations. The comparisons between numerical and analytical results lead to excellent agreements. The increase of the charge intensity has the consequence of increasing the width of the interference fringes in the scattering cross section. Its influence on the intensity of the scattered flux, however, depends on the dimensionality of the spacetime. Analyzes for the special cases of uncharged and extremely charged black holes are included.