50 citations · 587 across the 63 of their papers we have counts for
64 papers
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…
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…
Integral quantization based on the Heisenberg-Weyl group
Aleksandra Pȩdrak, Andrzej Góźdź, Włodzimierz 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…
Quantum system ascribed to the Oppenheimer-Snyder model of massive star
A. Góźdź, J. J. Ostrowski, A. Pȩdrak +1
We quantize the Oppenheimer-Snyder model of black hole using the integral quantization method. We treat spatial and temporal coordinates on the same footing both at classical and q…
Quantum dynamics of gravitational massive shell
Andrzej Góźdź, Marcin Kisielowski, Włodzimierz Piechocki
The quantum dynamics of a self-gravitating thin matter shell in vacuum has been considered. Quantum Hamiltonian of the system is positive definite. Within chosen set of parameters,…
Quantum dynamics corresponding to chaotic BKL scenario
Andrzej Góźdź, Aleksandra Pȩdrak, Włodzimierz Piechocki
We quantize the solution to the Belinski-Khalatnikov-Lifshitz (BKL) scenario using the integral quantization method. Quantization smears the gravitational singularity avoiding its…