Fractal basins and chaotic trajectories in multi-black hole space-times

Details Fractal basins and chaotic trajectories in multi-black hole space-times Fractal basins and chaotic trajectories in multi-black hole space-times

1994-02-14

arxiv.org/abs/gr-qc/9402027v1

Phys.Rev.D50:618-621,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, RevTeX, 4 figures (appended as a compressed tar file), UTPT-93-32, UM-P-94/18

Scientific paper

10.1103/PhysRevD.50.R618

We investigate the phase-space for trajectories in multi-black hole
spacetimes. We find that complete, chaotic geodesics are well described by
Lyapunov exponents, and that the attractor basin boundary scales as a fractal
in a diffeomorphism invariant manner.

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