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

C. P. Dettmann; N. E. Frankel; N. J. Cornish

doi:10.1103/PhysRevD.50.R618

Rapid Communication

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

C. P. Dettmann, N. E. Frankel, and N. J. Cornish

Phys. Rev. D 50, R618(R) – Published 15 July 1994

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.

DOI:https://doi.org/10.1103/PhysRevD.50.R618