Fractal basins and chaotic trajectories in multi-black hole space-times
General Relativity and Quantum Cosmology
2009-12-30 v1
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.
Cite
@article{arxiv.gr-qc/9402027,
title = {Fractal basins and chaotic trajectories in multi-black hole space-times},
author = {N. J. Cornish and C. P. Dettmann and N. E. Frankel},
journal= {arXiv preprint arXiv:gr-qc/9402027},
year = {2009}
}
Comments
9 pages, RevTeX, 4 figures (appended as a compressed tar file), UTPT-93-32, UM-P-94/18