Chaos in Exact Gravitational Waves

Details Chaos in Exact Gravitational Waves Chaos in Exact Gravitational Waves

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..921p&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

We describe a chaotic behaviour of geodesies in plane-fronted gravitational waves with parallel rays (pp-waves). The motion of test particles in non-homogeneous pp-waves can be related to the dynamics of the Hamiltonian system either with the Hénon-Heiles potential, or polynomial potentials of higher order, or their combination. We study fractal basin boundaries, extending our previous results concerning waves with constant amplitudes to more general wave-profiles. In particular, we investigate sandwich waves and demonstrate that chaos disappears in the impulsive limit. Also, we study a situation in which the pp-wave has both homogeneous and non-homogeneous components. In this case we obtain a two-dimensional Hamiltonian system with a modified Hénon-Heiles potential with only two basins of escape, which are separated by fractal boundaries.

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