Chaotic motion in pp-wave spacetimes
arXiv:gr-qc/9809065 · doi:10.1088/0264-9381/15/11/015
Abstract
We investigate geodesics in non-homogeneous vacuum pp-wave solutions and demonstrate their chaotic behavior by rigorous analytic and numerical methods. For the particular class of solutions considered, distinct "outcomes" (channels to infinity) are identified, and it is shown that the boundary between different outcomes has a fractal structure. This seems to be the first example of chaos in exact radiative spacetimes.
15 pages (latex),12 figures (gif), to appear in Class. Quantum Grav
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Cited by in corpus (10)
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- Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves
- Geodesic motion around a distorted static black hole
- Exact Parallel Waves in General Relativity
- Exact radiative spacetimes: some recent developments
- Chaos and Einstein-Rosen gravitational waves
- Chaotic motion in Kundt spacetimes
- Conformally related vacuum gravitational waves, and their symmetries