paper

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

arXiv:gr-qc/9402027 · doi:10.1103/PhysRevD.50.R618

Abstract

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.

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

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