3 papers
gr-qc2026
Some remarks on the horizon in the dust cloud collapse
Koushiki, W. Piechocki, G. Plewa
We examine the existence of an apparent horizon in the collapse of an isolated dust cloud using expansion functions. Our results indicate that in the region of spacetime far away f…
gr-qc2025
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…
gr-qc2025
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…