Cp. Dettmann et al., FRACTAL BASINS AND CHAOTIC TRAJECTORIES IN MULTI-BLACK-HOLE SPACETIMES, Physical review. D. Particles and fields, 50(2), 1994, pp. 618-621
We investigate the phase space for trajectories in multi-black-hole sp
acetimes. 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.