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

Abstract

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.

11 pages, 10 figures, prepared for the proceedings of the conference "70 & 70 Fiesta de Gravitación Clásica y Cuántica: Encuentro Con Dos Maestros De La Física Teórica De América Latina"

References in corpus (1)

• Accretion of a relativistic, collisionless kinetic gas into a Schwarzschild black hole

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