Chaotic motion in pp-wave spacetimes.

Article

Chaotic motion in pp-wave spacetimes.

Podolský, J; Veselý, K.

Class. Quantum Grav. 15(0), 3505-3521 (1998)

Abstract

The authors investigate geodesics in non-homogeneous vacuum pp-wave solutions and demonstrate their chaotic behaviour 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

Gravitational Radiation: General Relativity

Institute authors

Podolský, Jiří

Supported by

GACR 202/96/0206 — Relativistic physics and astrophysics
GAUK 230/1996 — Relativistická teorie gravitace, astrofyzika a kosmologie

BibTeX

@article{UTF146,
  author        = {Podolský, J and Veselý, K.},
  title         = {{Chaotic motion in pp-wave spacetimes.}},
  journal       = {Class. Quantum Grav.},
  volume        = {15},
  number        = {0},
  pages         = {3505-3521},
  year          = {1998},
  doi           = {10.1088/0264-9381/15/11/015},
  eprint        = {gr-qc/9809065},
  archivePrefix = {arXiv},
  url           = {http://www.iop.org/EJ/article/0264-9381/15/11/015/q81112.pdf},
}