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NUMERICAL SOLUTION OF MATHISSON-PAPAPETROU-DIXON EQUATIONS FOR SPINNING TEST PARTICLES IN A KERR METRIC
SOLUCIÓN NUMÉRICA DE LAS ECUACIONES DE MATHISSON - PAPAPETROU - DIXON PARA PARTÍCULAS DE PRUEBA CON ESPÍN EN UNA MÉTRICA DE KERR
DOI:
https://doi.org/10.15446/mo.n57.73391Keywords:
Spinning test particles, Kerr metric, Trajectories of particles, Mathisson-Papapetrou-Dixon equations, Numerical solution. (en)Partículas de prueba con espín, Métrica de Kerr, Trayectorías de partículas, Ecuaciones de Mathisson-Papapetrou-Dixon, Solución numérica. (es)
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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.
En este trabajo nosotros calculamos algunas estimaciones del efecto reloj gravitomagnético, tomando en consideración no sólo el campo rotacional de la masa central, sino también el espín de la partícula de prueba, obteniendo valores de Δt = t+ - t- = 2.5212079035x10-8 s. Nosotros usamos la formulación de las ecuaciones de Mathisson-Papapetrou-Dixon para este problema en una métrica de Kerr. Para comparar nuestros resultados numéricos con trabajos previos, nosotros consideramos inicialmente solo el plano ecuatorial y aplicamos también la condición suplementaria de espín de Mathisson-Pirani para la partícula de prueba con espín.
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1. Kaye Jiale Li, Kinwah Wu, Po Kin Leung, Dinesh Singh. (2022). Relativistic scattering of a fast spinning neutron star by a massive black hole. Monthly Notices of the Royal Astronomical Society, 511(3), p.3602. https://doi.org/10.1093/mnras/stab2925.
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