Chaotic motion in pp-wave spacetimes

Details Chaotic motion in pp-wave spacetimes Chaotic motion in pp-wave spacetimes

1998-09-23

arxiv.org/abs/gr-qc/9809065v1

Class.Quant.Grav. 15 (1998) 3505-3521

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages (latex),12 figures (gif), to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/15/11/015

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.

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