Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/71492
Type: Artigo de periódico
Title: Scattering map for two black holes
Author: de Moura, APS
Letelier, PS
Abstract: We study the motion of light in the gravitational field of two Schwarzschild black holes, making the approximation that they are far apart, so that the motion of light rays in the neighborhood of one black hole can be considered to be the result of the action of each black hole separately. Usings this approximation, the dynamics is reduced to a two-dimensional map, which we study both numerically and analytically. The map is found to be chaotic, with a fractal basin boundary separating the possible outcomes of the orbits (escape or falling into one of the black holes). In the limit of large separation distances, the basin boundary becomes a self-similar Canter set, and we find that the box-counting dimension decays slowly with the separation distance, following a logarithmic decay law.
Country: EUA
Editor: American Physical Soc
Rights: aberto
Identifier DOI: 10.1103/PhysRevE.62.4784
Date Issue: 2000
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

Files in This Item:
File Description SizeFormat 
WOS000089976800043.pdf111.73 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.