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Chaos around a Hénon-Heiles-inspired exact perturbation of a black hole

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.

preprint1996arXivOpen access
Werner M. VieiraPatricio S. Letelier
chao-dynnlin.CDgr-qc
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Werner M. VieiraPatricio S. Letelier

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