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

Werner M. Vieira and Patricio S. Letelier
Phys. Rev. Lett. 76, 1409 – Published 26 February 1996; Erratum Phys. Rev. Lett. 76, 4098 (1996)
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Abstract

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.

  • Received 9 November 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.1409

©1996 American Physical Society

Erratum

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

Werner M. Vieira and Patricio S. Letelier
Phys. Rev. Lett. 76, 4098 (1996)

Authors & Affiliations

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

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Vol. 76, Iss. 9 — 26 February 1996

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