Chaotic motion in pp-wave spacetimes
General Relativity and Quantum Cosmology
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/9809065,
title = {Chaotic motion in pp-wave spacetimes},
author = {J. Podolsky and K. Vesely},
journal= {arXiv preprint arXiv:gr-qc/9809065},
year = {2009}
}
Comments
15 pages (latex),12 figures (gif), to appear in Class. Quantum Grav