  We investigate the role of the spin angular momentum of astrophysical black
holes in controlling the special relativistic chaotic dynamics of test
particles moving under the influence of a post-Newtonian pseudo-Kerr black hole
potential, along with a perturbative potential created by a asymmetrically
placed (dipolar) halo. Proposing a Lyapunov-like exponent to be the effective
measure of the degree of chaos observed in the system under consideration, it
has been found that black hole spin anti-correlates with the degree of chaos
for the aforementioned dynamics. Our findings have been explained applying the
general principles of dynamical systems analysis.
