Conditions for the appearance of gravitational ultrarelativistic spin-orbital interaction
This paper employs a qualitative analysis of the energy and momentum integrals for the Mathisson-Papapetrou equations in a Schwarzschild field to determine the conditions under which all solutions of the exact Mathisson-Papapetrou equations corresponding to fixed initial coordinate and velocity values differ significantly from the solution of the abbreviated equations normally used for the same initial data. Numerical computer calculations provide additional indication of a difference in the world lines of the exact Mathisson-Papapetrou equations from solutions of the geodesic equations at ultrarelativistic velocity values. For high energy particles entering into the composition of cosmic rays one can expect appearance of gravitational ultrarelativistic spin-orbital interaction upon motion of such particles in the field of a neutron star.
- Research Organization:
- Institute for Applied Problems in Mechanics and Mathematics
- OSTI ID:
- 6932246
- Journal Information:
- Sov. Phys. J. (Engl. Transl.); (United States), Vol. 28:10
- Country of Publication:
- United States
- Language:
- English
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GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMIC RADIATION
GRAVITATIONAL INTERACTIONS
L-S COUPLING
MATHEMATICAL MODELS
GEODESICS
NEUTRON STARS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCHWARZSCHILD METRIC
BASIC INTERACTIONS
COUPLING
ENERGY RANGE
FIELD THEORIES
INTERACTIONS
INTERMEDIATE COUPLING
IONIZING RADIATIONS
METRICS
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640106* - Astrophysics & Cosmology- Cosmology
645400 - High Energy Physics- Field Theory