The authors apply the Melnikov method for identifying chaos in near integrable systems to relativistic particle motion around a Schwarzschild black hole. They start by giving a self-contained introduction to the Melnikov method together with some relevant background on dynamical systems. Then they show that a relativistic particle was unstable circular orbits around a Schwarzschild black hole, and that each one of these gives rise to a homoclinic orbit in phase space, which tends to the unstable one for t to +or- infinity . Finally, the authors use the Melnikov method to conclude that, under most periodic perturbations of the black-hole metric, the homoclinic orbit becomes chaotic.
Documento: | Artículo |
Título: | Chaos around a black hole |
Autor: | Bombelli, L.; Calzetta, E. |
Filiación: | RGGR, Universite Libre de Bruxelles, Campus Plaine CP 231, 1050 Brussels, Belgium Instituto de Astronomia y Fisica Del Espacio Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina |
Año: | 1992 |
Volumen: | 9 |
Número: | 12 |
Página de inicio: | 2573 |
Página de fin: | 2599 |
DOI: | http://dx.doi.org/10.1088/0264-9381/9/12/004 |
Título revista: | Classical and Quantum Gravity |
ISSN: | 02649381 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02649381_v9_n12_p2573_Bombelli |