Axisymmetric, stationary collisionless gas clouds trapped in a Newtonian potential
arXiv:2209.05325 · doi:10.1088/1361-6382/acb192
Abstract
The properties of an axisymmetric, stationary gas cloud surrounding a massive central object are discussed. It is assumed that the gravitational field is dominated by the central object which is modeled by a nonrelativistic rotationally-symmetric potential. Further, we assume that the gas consists of collisionless, identical massive particles that follow bound orbits in this potential. Several models for the one-particle distribution function are considered and the essential formulae that describe the relevant macroscopical observables, such as the particle and energy densities, pressure tensor, and the kinetic temperature are derived. The asymptotic decay of the solutions at infinity is discussed and we specify configurations with finite total mass, energy and (zero or non-zero) angular momentum. Finally, our configurations are compared to their hydrodynamic analogs. In an accompanying paper, the equivalent general relativistic problem is discussed, where the central object consists of a Schwarzschild black hole.
arXiv comment27 pages, 15 figures, 3 tables
References in corpus (23)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- The Einstein-Vlasov System/Kinetic Theory
- Accretion of a relativistic, collisionless kinetic gas into a Schwarzschild black hole
- Accretion of Dark Matter onto a Moving Schwarzschild Black Hole: An Exact Solution
- Existence of axially symmetric static solutions of the Einstein-Vlasov system
- Rotating, stationary, axially symmetric spacetimes with collisionless matter
- Stable Models of Elliptical Galaxies
- Kinetic theory of equilibrium axisymmetric collisionless plasmas in off-equatorial tori around compact objects
- Accretion of the relativistic Vlasov gas onto a moving Schwarzschild black hole: Exact solutions
- Spherical steady-state accretion of a relativistic collisionless gas into a Schwarzschild black hole
- Von Zeipel's theorem for a magnetized circular flow around a compact object
- Accretion of the Vlasov gas on Reissner-Nordström black holes
- Phase space mixing in the equatorial plane of a Kerr black hole
- Accretion of a Vlasov gas on to a black hole from a sphere of finite radius and the role of angular momentum
- On Axisymmetric and Stationary Solutions of the Self-Gravitating Vlasov System
- Description of the evolution of inhomogeneities on a Dark Matter halo with the Vlasov equation
- Cosmic String and Black Hole Limits of Toroidal Vlasov Bodies in General Relativity
- Kinetic gas disks surrounding Schwarzschild black holes
- Rotating Clouds of Charged Vlasov Matter in General Relativity
- On the rotation curves for axially symmetric disk solutions of the Vlasov-Poisson system
- A mass-velocity anisotropy relation in galactic stellar disks
- Henon's Isochrone Model