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Phys. Rev. D 50, R618–R621 (1994)

Fractal basins and chaotic trajectories in multi-black-hole spacetimes

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C. P. Dettmann and N. E. Frankel
School of Physics, University of Melbourne, Parkville Victoria 3052, Australia

N. J. Cornish
Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S1A7

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.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.50.R618
DOI:
10.1103/PhysRevD.50.R618
PACS:
04.25.-g, 04.40.Nr, 04.70.Bw, 95.10.Fh