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Phys. Rev. Lett. 76, 1409–1412 (1996)

Chaos around a Hénon-Heiles-Inspired Exact Perturbation of a Black Hole

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Werner M. Vieira and Patricio S. Letelier
Departamento de Matemática Aplicada, Instituto de Matemática, Estatística e Ciências da Computação, Universidade Estadual de Campinas, CP 6065 13083-970 Campinas, SP, Brazil

See Also: Erratum

Received 9 November 1995; published in the issue dated 26 February 1996

A solution of the Einstein equations that represents the superposition of a Schwarzschild 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.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.1409
DOI:
10.1103/PhysRevLett.76.1409
PACS:
04.20.Jb, 05.45.+b, 95.10.Fh, 95.30.Sf

See Also

Erratum: Werner M. Vieira and Patricio S. Letelier, Chaos around a Hénon-Heiles-Inspired Exact Perturbation of a Black Hole, Phys. Rev. Lett. 76, 4098 (1996).