Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Low-temperature limit and numerical aspects

TL;DR

This paper investigates the accretion of relativistic Vlasov gas onto a moving Schwarzschild black hole, focusing on the low-temperature limit and numerical methods to evaluate particle densities and currents.

Contribution

It introduces a detailed analysis of the low-temperature accretion rate and employs Monte Carlo simulations to validate theoretical results.

Findings

Derived the low-temperature limit of the mass accretion rate

Validated theoretical results with Monte Carlo simulations

Discussed numerical techniques for momentum integrals in particle density calculations

Abstract

New developments related to our recent study of the accretion of the Vlasov gas onto a moving Schwarzschild black hole are presented. We discuss the low-temperature limit of the mas accretion rate and a simple Monte Carlo simulation used to check the results obtained in this limit. We also comment on several numerical aspects related with momentum integrals expressing the particle density current and the particle density.