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

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arxiv chao-dyn/9910035 v1 pith:PZH3LFKF submitted 1999-10-26 chao-dyn gr-qcnlin.CD

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

Alessandro P. S. de Moura , Patricio S. Letelier This is my paper
classification chao-dyn gr-qcnlin.CD
keywords chaosparticlesexternalhalomaterialmotionaroundbasins
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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