4 papers
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…
Kerr Geodesics in horizon-penetrating Kerr coordinates: description in terms of Weierstrass functions
Zuzanna Bakun, Angelika Åukanty, Anastasiia Untilova +2
We revisit the theory of timelike and null geodesics in the (extended) Kerr spacetime. This work is a sequel to a recent paper by CieÅlik, Hackmann, and Mach, who applied the so-c…
Monte Carlo methods for stationary solutions of general-relativistic Vlasov systems: Planar accretion onto a moving Schwarzschild black hole
Adam CieÅlik, Patryk Mach, Andrzej Odrzywolek
We perform Monte Carlo simulations of stationary planar accretion of a collisionless gas onto a moving Schwarzschild black hole. In this work -- a sequel to our previous paper on t…