Rotating Kinetic Gas Disk Morphology Surrounding a Schwarzschild Black Hole

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.