Eur. Phys. J. Plus (2020) 135: 880
https://doi.org/10.1140/epjp/s13360-020-00876-w

Regular Article

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

Faculdade de Física, Universidade Federal do Pará, Belém, Pará, 66075-110, Brazil

^* e-mail: ednilton@ufpa.br

Received: 28 August 2020
Accepted: 21 October 2020
Published online: 3 November 2020

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 are 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 in 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 in 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 in 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 analogs in certain limits.