99 citations · 129 across the 3 of their papers we have counts for
3 papers
gr-qc1995★ 1 cited
Chaos and Fractals around Black Holes
C. Dettmann, N. Frankel, N. Cornish
Fractal basin boundaries provide an important means of characterizing chaotic systems. We apply these ideas to general relativity, where other properties such as Lyapunov exponents…
gr-qc1994★ 99 cited
Fractal basins and chaotic trajectories in multi-black hole space-times
N. J. Cornish, C. P. Dettmann, N. E. Frankel
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 attr…
gr-qc1993★ 29 cited
Gravitation vs. Rotation in 2+1 Dimensions
N. J. Cornish, N. E. Frankel
We investigate rotation and rotating structures in (2+1)-dimensional Einstein gravity. We show that rotation generally leads to pathological physical situations.