Fractal basins and chaotic trajectories in multi-black hole space-times
N. J. Cornish, C. P. Dettmann, N. E. Frankel
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.
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