39 citations · 177 across the 11 of their papers we have counts for
11 papers
On physics of a highly relativistic spinning particle in the gravitational field
Roman Plyatsko, Mykola Fenyk
The Mathisson-Papapetrou equations are used for investigations of influence of the spin-gravity coupling on a highly relativistic spinning particle in Schwarzschild's field. It is…
Nonequatorial circular orbits of spinning particles in the Schwarzschild-de Sitter background
Roman Plyatsko, Volodymyr Panat, Mykola Fenyk
In this paper analytical solutions of the Mathisson-Papapetrou equations that describe nonequatorial circular orbits of a spinning particle in the Schwarzschild-de Sitter backgroun…
Highly relativistic spin-gravity- coupling
Roman Plyatsko, Mykola Fenyk, Volodymyr Panat
The effects of highly relativistic spin-gravity coupling in the Schwarzschild-de Sitter background which follow from the Mathisson-Papapetrou equations are investigated. The depend…
Antigravity: Spin-gravity coupling in action
Roman Plyatsko, Mykola Fenyk
The typical motions of a spinning test particle in Schwarzschild's background which show the strong repulsive action of the highly relativistic spin-gravity coupling are considered…
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…
Highly relativistic spin-gravity coupling for fermions
Roman Plyatsko, Mykola Fenyk
Descriptions of highly relativistic fermions in a gravitational field in the classical (nonquantum) and quantum approaches are discussed. The results following from the Mathisson-P…
Highly relativistic circular orbits of spinning particle in the Kerr field
Roman Plyatsko, Mykola Fenyk
The Mathisson-Papapetrou equations in Kerr's background are considered. The region of existence of highly relativistic planar circular orbits of a spinning particle in this backgro…
Highly relativistic spinning particle in the Schwarzschild field: Circular and other orbits
Roman Plyatsko, Mykola Fenyk
The Mathisson-Papapetrou equations in the Schwarzschild background both at Mathisson-Pirani and Tulczyjew-Dixon supplementary condition are considered. The region of existence of h…
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…