Accretion of a Vlasov gas by a Kerr black hole
arXiv:2508.04783 · doi:10.1103/n9pn-2nx2
Abstract
We investigate the accretion of a collisionless, relativistic kinetic gas by a rotating Kerr black hole, assuming that at infinity the state of the gas is described by a distribution function depending only on the energy of the particles. Neglecting the self-gravity of the gas, we show that relevant physical observables, including the particle current density and the accretion rates associated with the mass, the energy, and the angular momentum, can be expressed in the form of closed integrals that can be evaluated numerically or approximated analytically in the slow-rotation limit. The accretion rates are computed in this manner for both monoenergetic particles and the Maxwell-Jüttner distribution and compared with the corresponding results in the non-rotating case. We show that the angular momentum accretion rate decreases the absolute value of the black hole spin parameter. It is also found that the rotation of the black hole has a small but non-vanishing effect on the mass and the energy accretion rates, which is remarkably well described by an analytic calculation in the slow-rotation approximation to quadratic order in the rotation parameter. The effects of rotation on the morphology of the accretion flow are also analyzed.
arXiv comment40 pages with 22 captioned figures; Published version
References in corpus (31)
- Most Black Holes are Born Very Slowly Rotating
- The Einstein-Vlasov System/Kinetic Theory
- Gravito-Electromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit
- Fluid accretion onto a spherical black hole: relativistic description versus Bondi model
- The geometry of the tangent bundle and the relativistic kinetic theory of gases
- Accretion of a relativistic, collisionless kinetic gas into a Schwarzschild black hole
- Static solutions of the spherically symmetric Vlasov-Einstein system
- Universality and backreaction in a general-relativistic accretion of steady fluids
- How Cold is Cold Dark Matter?
- Accretion of Dark Matter onto a Moving Schwarzschild Black Hole: An Exact Solution
- Hydrodynamic accretion onto rapidly rotating Kerr black hole
- An introduction to the relativistic kinetic theory on curved spacetimes
- Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Exact solutions
- Accretion of the Vlasov gas onto a Schwarzschild-like black hole
- Spherical steady-state accretion of a relativistic collisionless gas into a Schwarzschild black hole
- Kerr Geodesics in Terms of Weierstrass Elliptic Functions
- Accretion of the Vlasov gas on Reissner-Nordström black holes
- Accretion of the relativistic Vlasov gas in the equatorial plane of the Kerr black hole
- Phase space mixing in the equatorial plane of a Kerr black hole
- Accretion with back reaction
- An analytic toy model for relativistic accretion in Kerr spacetime
- Accretion of a Vlasov gas on to a black hole from a sphere of finite radius and the role of angular momentum
- Spherical accretion: Bondi, Michel and rotating black holes
- Relativistic aerodynamics of spinning black holes
- Description of the evolution of inhomogeneities on a Dark Matter halo with the Vlasov equation
- Kinetic gas disks surrounding Schwarzschild black holes
- Static spherically symmetric Einstein-Vlasov bifurcations of the Schwarzschild spacetime
- Axisymmetric, stationary collisionless gas configurations surrounding black holes
- Accretion of the degenerate Fermi gas onto a Reissner-Nordström black hole
- Spherical accretion of a collisionless kinetic gas into a generic static black hole
- Bondi-type accretion onto a Kerr black hole in the kinetic regime