Absorption, scattering and shadow by a noncommutative black hole with global monopole

TL;DR

This paper studies how noncommutativity and global monopoles affect scalar wave scattering, absorption, and shadow formation around black holes, revealing that noncommutativity reduces these effects while monopoles increase them.

Contribution

It introduces a combined analysis of noncommutative black holes with global monopoles on scattering and shadow properties using partial wave and geodesic methods.

Findings

Noncommutativity reduces scattering, absorption cross section, and shadow radius.

Global monopoles increase scattering, absorption cross section, and shadow radius.

At null mass limit, cross sections approach a non-zero minimum value.

Abstract

In this paper, we investigate the process of massless scalar wave scattering due to a noncommutative black hole with a global monopole through the partial wave method. We computed the cross section of differential scattering and absorption at the low frequency limit. We also calculated, at the high frequency limit, the absorption and the shadow radius by the null geodesic method. We showed that noncommutativity causes a reduction in the differential scattering/absorption cross section and shadow radius, while the presence of the global monopole has the effect of increasing the value of such quantities. In the limit of the null mass parameter, we verify that the cross section of differential scattering, absorption and shadow ray approach to a non-zero value proportional to a minimum mass.