36 citations · 61 across the 6 of their papers we have counts for
6 papers
Solutions of Mathisson-Papapetrou equations for highly relativistic spinning particles
Roman Plyatsko, Mykola Fenyk, Oleksandr Stefanyshyn
Different types of essentially nongeodesic motions of highly relativistic spinning particles in Schwarzschild's and Kerr's background which follows from the Mathisson-Papapetrou (M…
Mathisson-Papapetrou-Dixon equations in the Schwarzschild and Kerr backgrounds
Roman Plyatsko, Oleksandr Stefanyshyn, Mykola Fenyk
A new representation, which does not contain the third-order derivatives of the coordinates, of the exact Mathisson-Papapetrou-Dixon equations, describing the motion of a spinning…
Highly relativistic spinning particle starting near in a Kerr field
Roman Plyatsko, Oleksandr Stefanyshyn, Mykola Fenyk
Using the Mathisson-Papapetrou-Dixon (MPD) equations, we investigate the trajectories of a spinning particle starting near in a Kerr field and moving with the veloci…
On a Representation of Mathisson-Papaetrou-Dixon Equations in the Kerr Metric
Roman Plyatsko, Oleksandr Stefanyshyn, Mykola Fenyk
New representation of the exact Mathisson-Papapetrou-Dixon equations at the Mathisson-Pirani condition in the Kerr metric which does not contain the third-order derivatives of the…
On common solutions of Mathisson equations under different conditions
Roman Plyatsko, Oleksandr Stefanyshyn
In the context of investigations of possible highly relativistic motions of a spinning particle in the gravitational field, which can be described by the Mathisson equations under…
Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field
Roman Plyatsko, Oleksandr Stefanyshyn
The Mathisson equations under the Frenkel-Mathisson supplementary condition are studied in a Schwarzschild field. The choice of solutions, which describe the motions of the proper…