# Electromagnetic absorption, emission and scattering spectra of black holes with tidal charge

## TL;DR

This paper investigates how the tidal charge in Randall-Sundrum black holes affects their electromagnetic spectra, revealing similarities to Schwarzschild black holes but with notable differences in absorption and emission behaviors.

## Contribution

It provides a detailed analysis of electromagnetic cross sections and emission rates of tidal charge black holes, highlighting effects of tidal charge on these properties and validating computational methods.

## Key findings

- Absorption cross sections increase with tidal charge.
- Emission rate peaks at a certain tidal charge level.
- Cross sections align with high-frequency approximations.

## Abstract

The effects of the tidal charge of black holes predicted in the Randall-Sundrum brane-world scenario on the electromagnetic cross sections and emission rate is studied. Although quantitatively different, the cross sections and emission rates of such black holes are similar to the ones of Schwarzschild black holes. The increase of the tidal-charge intensity makes the absorption cross sections increase and the interference-fringe widths of the differential scattering cross sections narrow. The electromagnetic emission rate increases initially with the increase of the tidal-charge intensity, but reaches a maximum. This results from the combination of opposite behaviors of the absorption cross section and the black hole temperature, as this last decreases with the increase of the tidal-charge intensity. It is shown that the cross sections obtained via the partial-wave method agree well with the high-frequency approximations, and can also been simulated by their scalar analogues in certain limits.