62 citations · 729 across the 63 of their papers we have counts for
5 papers · 1 filter
A Monte Carlo approach to stationary kinetic disks in the Kerr spacetime
Ghafran Khan, Patryk Mach
We extend a recently proposed Monte Carlo scheme for computing stationary solutions of the general-relativistic Vlasov equation to the Kerr spacetime. As an example, we focus on ra…
Bondi-type accretion onto a Kerr black hole in the kinetic regime
Patryk Mach, Mehrab Momennia, Olivier Sarbach
We derive an exact solution representing a Bondi-type stationary accretion of a kinetic (Vlasov) gas onto the Kerr black hole. The solution is exact in the sense that relevant phys…
Accretion of a Vlasov gas by a Kerr black hole
Patryk Mach, Mehrab Momennia, Olivier Sarbach
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 distributi…
Semiclassical causal geodesics: Minkowski spacetime case
Adam Cieślik, Andrzej Góźdź, Patryk Mach +2
We use an integral quantization model based on the Heisenberg-Weyl group to describe the motion of a spinless particle in the Minkowski background spacetime. This work is a sequel…
Finite collisionless accretion disks in the Kerr spacetime
Ghafran Khan, Patryk Mach
We construct general-relativistic kinetic models of stationary finite accretion disks in the Kerr spacetime. Our analysis generalizes a previous model of razor-thin accretion disks…