8 papers
Relativistic figures of equilibrium in the Wald magnetosphere
PaweÅ Doruchowski, Patryk Mach, Audrey Trova +1
We consider a self-gravitating, rigidly rotating charged perfect fluid immersed in the Wald magnetosphere, constructed out of two linearly independent Killing vectors present in st…
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…
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…
Semiclassical causal geodesics: Minkowski spacetime case
Adam CieÅlik, 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…
Integral quantization based on the Heisenberg-Weyl group
Aleksandra PÈ©drak, Andrzej Góźdź, WÅodzimierz Piechocki +2
We develop a relativistic framework of integral quantization applied to the motion of spinless particles in the four-dimensional Minkowski spacetime. The proposed scheme is based o…