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

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

1999-10-26

arxiv.org/abs/chao-dyn/9910035v1

Phys.Rev.E61:6506-6516,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 figures, uses REVTEX

Scientific paper

10.1103/PhysRevE.61.6506

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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