Scattering and absorption by extra-dimensional black holes with GUP

TL;DR

This paper analyzes how scalar waves scatter and are absorbed by higher-dimensional Schwarzschild black holes considering the generalized uncertainty principle, revealing non-zero absorption at high dimensions even near zero mass.

Contribution

It provides an analytical study of scalar wave scattering and absorption in (d+1)-dimensional black holes incorporating GUP effects, highlighting new behaviors at high dimensions.

Findings

Absorption remains non-zero at high dimensions as mass approaches zero.

Calculated phase shifts and cross-sections at low and high frequencies.

Demonstrated the impact of extra dimensions on scattering and absorption properties.

Abstract

In this paper, we consider the Schwarzschild-Tangherlini black hole to investigate the process of scalar wave scattering by the black hole in a spacetime of (d + 1) dimensions and also with the generalized uncertainty principle (GUP). In this scenario, we analytically determine the phase shift and explore the effect of extra dimensions by calculating the differential scattering and absorption cross-section by applying the partial wave method at low and high-frequency limits. We show at high dimensions that the absorption is not zero as the mass parameter approaches zero.