Charged Particles Capture Cross-Section by a Weakly Charged Schwarzschild Black Hole

TL;DR

This paper investigates how charged particles are captured by a weakly charged Schwarzschild black hole, revealing that the capture cross-section depends on particle energy but not on electromagnetic coupling for ultra-relativistic particles, with implications for astrophysics.

Contribution

The study provides a numerical analysis of the capture cross-section dependence on particle energy and electromagnetic coupling, highlighting the independence for ultra-relativistic particles.

Findings

Capture cross-section depends on particle energy.

Capture cross-section is independent of electromagnetic coupling for ultra-relativistic particles.

Results have astrophysical implications.

Abstract

We study the capture cross-section of charged particles by a weakly charged Schwarzschild black hole. The dependence of the maximum impact parameter for capture on the particle's energy is investigated numerically for different values of the electromagnetic coupling strength between the particle and the black hole. The capture cross-section is then calculated. We show that the capture cross-section is independent of the electromagnetic coupling for ultra-relativistic particles. The astrophysical implications of our results are discussed.