CHAOS AROUND A HENON-HEILES-INSPIRED EXACT PERTURBATION OF A BLACK-HOLE

Citation
Wm. Vieira et Ps. Letelier, CHAOS AROUND A HENON-HEILES-INSPIRED EXACT PERTURBATION OF A BLACK-HOLE, Physical review letters, 76(9), 1996, pp. 1409-1412
Citations number
11
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
76
Issue
9
Year of publication
1996
Pages
1409 - 1412
Database
ISI
SICI code
0031-9007(1996)76:9<1409:CAAHEP>2.0.ZU;2-E
Abstract
A solution of the Einstein equations that represents the superposition of a Schwarzschild black hole with both quadrupolar and octopolar ter ms describing a halo is exhibited. We show that this solution, in the Newtonian limit, is an analog to the well known Henon-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.