Chaos and Fractals in Geodesic Motions Around a Non-Rotating Black-Hole with an External Halo

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We investigate the occurrence chaos in the escape of test particles moving in the field of a Schwarzschild black hole surrounded by an external halo. The motion of both material particles and zero rest mass particles is considered. The chaos is characterized by the fractal dimension of boundary between the basins of the different escapes, which is a topologically invariant characterization. We find chaos in the motion of both material particles and null geodesics.
12 figures, uses REVTEX

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Chaotic Dynamics, General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/211831

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/chao-dyn/9910035
 http://arxiv.org/abs/chao-dyn/9910035
 Phys.Rev.E61:6506-6516,2000
 doi:10.1103/PhysRevE.61.6506

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arXiv