Scalar scattering from charged black holes on the brane

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 the scattering angle can be obtained only via a numerical approach, analytical results can be obtained via the geodesic, Born, 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. Analyses for the special cases of uncharged and extremely charged black holes are included.

Scalar scattering from black holes with tidal charge

“…Recently we have extended the investigation of black holes in brane-world models to their wave differential scattering cross sections, more specifically considering massless scalar plane waves impinging upon small static neutral and electrically charged black holes in the Arkani-Hamed-Dimopoulos-Dvali model [29,30]. Other authors have previously considered some scattering properties of black holes on brane-world models, as the absorption cross section [16,31,32], shadows [33][34][35][36] and deflections [35,37] and also quasinormal modes [32,[38][39][40].…”