Scattering, absorption and greybody factor of scalar particles by Lorentz-violating charged black holes

TL;DR

This paper studies how scalar particles scatter and are absorbed by charged black holes in models with Lorentz symmetry breaking, analyzing the effects of Lorentz-violating parameters and electric charge.

Contribution

It introduces calculations of scattering, absorption, and greybody factors for scalar particles in Lorentz-violating charged black hole backgrounds using partial waves.

Findings

Lorentz-violating parameters significantly affect greybody factors.

Electric charge influences scattering and absorption cross-sections.

The study provides detailed quantitative analysis of scalar particle interactions with such black holes.

Abstract

In this work, we investigate the scattering and absorption of spin 0 particles for electrically charged black holes in two gravity models with spontaneous Lorentz symmetry breaking. The first one is the so-called bumblebee model that involves a vector field with a nonvanishing vacuum expectation value (VEV), while the second one involves a self-interacting Kalb-Ramond field coupled to gravity. For our purpose, we employ the partial waves method to compute the scattering cross-section and the absorption for these charged black holes. Moreover, we calculate the greybody factors (GFs) for spin 0 particles, showing the influence of both the LV parameter and electric charge.