Spherical steady-state accretion of a relativistic collisionless gas into a Schwarzschild black hole

70 & 70 Gravitation Fest

Rioseco, Paola^1 ; Sarbach, Olivier^1

Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, Michoacán, Morelia

58040, Mexico^1

关键词: Accretion flow;    Black hole background;    Collisionless boltzmann equations;    Collisionless gas;    Equilibrium distribution functions;    General solutions;    Radial coordinates;    Stress energies;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/831/1/012009/pdf
DOI  :  10.1088/1742-6596/831/1/012009

来源: IOP

【 摘 要 】

In previous work, we derived the most general solution of the collisionless Boltzmann equation describing the accretion of a kinetic gas into a Schwarzschild black hole background, and we gave explicit expressions for the corresponding observables (the current density and stress energy-momentum tensor) in terms of certain integrals over the distribution function. In this article, we numerically compute these integrals for the particular case of the steady-state, spherical symmetric accretion flows which, at infinity, are described by an equilibrium distribution function of given temperature. We analyze in detail the behavior of the observables as a function of the temperature and the radial coordinate, comparing our results with the perfect fluid model of Bondi-Michel accretion.