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

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

1996-04-18

arxiv.org/abs/gr-qc/9604037v1

Phys.Rev.Lett. 76 (1996) 1409-1412; Erratum-ibid. 76 (1996) 4098

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages Revtex

Scientific paper

10.1103/PhysRevLett.76.1409

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 H\'enon-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.

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