Chaos around a Hénon-Heiles-inspired exact perturbation of a black hole
arXiv:gr-qc/9604037 · doi:10.1103/PhysRevLett.76.1409
Abstract
A solution of the Einstein's equations that represents the superposition of a Schwarszchild black hole with both quadrupolar and octopolar terms describing a halo is exhibited. We show that this solution, in the Newtonian limit, is an analog to the well known Hénon-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.
7 pages Revtex
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