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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/00216208:11320/18:10388227

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

97

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

18

Strana od-do

—

Kód UT WoS článku

000430061300011

EID výsledku v databázi Scopus

2-s2.0-85046530583