Spinning test particles in a Kerr field - I

Article

Spinning test particles in a Kerr field - I

Semerák, O.

Mon. Not. R. Astron. Soc. 308(3), 863-875 (1999)

Abstract

Mathisson-Papapetrou equations are solved numerically to obtain trajectories of spinning test particles in (the meridional section of) the Kerr space-time. The supplementary conditions p_σ S^μσ=0 are used to close the system of equations. The results show that in principle a spin-curvature interaction may lead to considerable deviations from geodesic motion, although in astrophysical situations of interest probably no large spin effects can be expected for values of spin consistent with a pole-dipole test-particle approximation. However, a significant cumulative effect may occur, e.g. in the inspiral of a spinning particle on to a rotating compact body, that would modify gravitational waves generated by such a system. A thorough literature review is included in the paper.

Institute authors

Semerák, Oldřich

Supported by

GACR 202/99/0261 — Relativistic physics and astrophysics
GAUK 230/1996 — Relativistická teorie gravitace, astrofyzika a kosmologie

BibTeX

@article{UTF756,
  author        = {Semerák, O.},
  title         = {{Spinning test particles in a Kerr field - I}},
  journal       = {Mon. Not. R. Astron. Soc.},
  volume        = {308},
  number        = {3},
  pages         = {863-875},
  year          = {1999},
  month         = {9},
  doi           = {10.1046/j.1365-8711.1999.02754.x},
  url           = {https://academic.oup.com/mnras/article/308/3/863/973826/},
}