Wm. Vieira et Ps. Letelier, CHAOS AROUND A HENON-HEILES-INSPIRED EXACT PERTURBATION OF A BLACK-HOLE, Physical review letters, 76(9), 1996, pp. 1409-1412
A solution of the Einstein equations that represents the superposition
of a Schwarzschild black hole with both quadrupolar and octopolar ter
ms describing a halo is exhibited. We show that this solution, in the
Newtonian limit, is an analog to the well known Henon-Heiles potential
. The integrability of orbits of test particles moving around a black
hole representing the galactic center is studied and bounded zones of
chaotic behavior are found.