Publikace ÚTF

We investigate for order and chaos the dynamical system of a spinning test particle of mass m moving in
the spacetime background of a Kerr black hole of massM. This system is approximated in our investigation
by the linear in spin Hamiltonian function [E. Barausse and A. Buonanno, Phys. Rev. D 81, 084024
(2010)]. We study the corresponding phase space by using 2D projections on a surface of section and the
method of color and rotation on a 4D Poincaré section. Various topological structures coming from the
nonintegrability of the linear in spin Hamiltonian are found and discussed. Moreover, an interesting result is
that from the value of the dimensionless spin S=ðmMÞ ¼ 10−4 of the particle and below, the impact of the
nonintegrability of the system on the motion of the particle seems to be negligible.