Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985815%3A_____%2F18%3A00497137" target="_blank" >RIV/67985815:_____/18:00497137 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/18:10388227
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.97.084023" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.97.084023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.97.084023" target="_blank" >10.1103/PhysRevD.97.084023</a>

Result language
angličtina
Original language name
Spinning particles in general relativity: Momentum-velocity relation for the Mathisson-Pirani spin condition
Original language description
The Mathisson-Papapetrou-Dixon (MPD) equations, providing the pole-dipole description of spinning test particles in general relativity, have to be supplemented by a condition specifying the worldline that will represent the history of the studied body. It has long been thought that the Mathisson-Pirani (MP) spin condition-unlike other major choices made in the literature-does not yield an explicit momentum-velocity relation. We derive here the desired (and very simple) relation and show that it is in fact equivalent to the MP condition. We clarify the apparent paradox between the existence of such a definite relation and the known fact that the MP condition is degenerate (does not specify a unique worldline), thus shedding light on some conflicting statements made in the literature. We then show how, for a given body, this spin condition yields infinitely many possible representative worldlines, and derive a detailed method how to switch between them in a curved spacetime. The MP condition is a convenient choice in situations when it is easy to recognize its “nonhelical” solution, as exemplified here by bodies in circular orbits and in radial fall in the Schwarzschild spacetime.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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