NUMERICAL SOLUTION OF MATHISSON-PAPAPETROU-DIXON EQUATIONS FOR SPINNING TEST PARTICLES IN A KERR METRIC

In this work we calculate some estimations of the gravitomagnetic clock effect, taking into consideration not only the rotating gravitational field of the central mass, but also the spin of the test particle, obtaining values for Δt = t+ - t- = 2.5212079035x10-8 s. We use the formulation of Mathisso...

Full description

Autores:
Velandia, Nelson
Tejeiro, Juan M.
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/67297
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/67297
http://bdigital.unal.edu.co/68326/
Palabra clave:
53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Spinning test particles
Kerr metric
Trajectories of particles
Mathisson-Papapetrou-Dixon equations
Numerical solution.
Partículas de prueba con espín
Métrica de Kerr
Trayectorías de partículas
Ecuaciones de Mathisson-Papapetrou-Dixon
Solución numérica.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In this work we calculate some estimations of the gravitomagnetic clock effect, taking into consideration not only the rotating gravitational field of the central mass, but also the spin of the test particle, obtaining values for Δt = t+ - t- = 2.5212079035x10-8 s. We use the formulation of Mathisson-Papapetrou-Dixon equations (MPD) for this problem in a Kerr metric. In order to compare our numerical results with previous works, we consider initially only the equatorial plane and also apply the Mathisson-Pirani supplementary spin condition for the spinning test particle.