Rotating Kinetic Gas Disk Morphology Surrounding a Schwarzschild Black Hole

TL;DR

This paper analyzes the morphology and observable properties of a rotating collisionless kinetic gas cloud around a Schwarzschild black hole, considering angular momentum and mass configurations.

Contribution

It introduces models for the one-particle distribution function based on a polytropic ansatz and analyzes the resulting macroscopic observables in Schwarzschild spacetime.

Findings

Profiles of density and energy-momentum tensors are derived.

Configurations with and without total angular momentum are compared.

Macroscopic observables are characterized for different mass and angular momentum scenarios.

Abstract

This paper discusses the behavior of a rotating relativistic kinetic gas surrounding a Schwarzschild black hole. We are interested in the description and analysis of the morphology of the resulting configurations for kinetic gas clouds with and without total angular momentum, and we also compare the macroscopic observables with configurations of finite total mass. Considering models for the one-particle distribution function based on a polytropic ansatz and the inclination angle of the orbits of the particles in the kinetic gas, a collisionless gas in the Schwarzschild spacetime background is analyzed. Profiles of the macroscopic observables of the gas configurations are presented, which are derived from the density current vector field and energy-momentum-stress tensor.