62 citations · 729 across the 63 of their papers we have counts for
67 papers
Kerr geodesics on conformal projection diagrams
Przemysław Podleśny, Patryk Mach
We provide a rigorous representation of timelike geodesics in the maximally extended Kerr spacetime, using projection diagrams introduced by Chruściel, Ölz, and Szybka. In contrast…
Relativistic figures of equilibrium in the Wald magnetosphere
Paweł 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…
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…