Scattering sections from regular black holes immersed in perfect fluid dark matter

TL;DR

This paper analyzes how perfect fluid dark matter influences the scattering cross sections of black holes, revealing increased scattering and altered interference patterns, which could impact black hole phenomenology.

Contribution

It provides a comparative study of classical, semi-classical, and partial wave scattering cross sections for black holes in dark matter environments, highlighting the dark matter effects.

Findings

Dark matter increases classical scattering cross section

Dark matter modifies interference fringe widths

Partial wave analysis shows similar qualitative behavior

Abstract

In this contribution, we investigate the scattering cross sections of black holes immersed in perfect fluid dark matter (PFDM). We present both the classical and semi-classical scattering cross sections for different values of the parameter that characterizes the PFDM contribution. Our results show that the presence of dark matter increases the classical scattering cross section and modifies the width of the interference fringes in the semi-classical regime. In addition, the scattering cross section is also computed using the partial wave method for the black holes considered, exhibiting similar qualitative behavior. These findings suggest that the effects of dark matter surrounding black holes may play an important role in black holes phenomenology, particularly in certain regions near the black hole.