The chaotic behaviour of geodesics in non-homogeneous vacuum pp-wave solutions
Mehmet A. SÜZEN
Department of Physics,
Eastern Mediterranean University,
Famagusta, Cyprus
Supervisor: Professor Mustafa HALILSOY
Master of Science in Physics
Submitted and Defensed in 2000
We demonstrate chaotic behaviour of time-like, space like and null geodesics of free test particle in non-homogeneous vacuum plane fronted gravitational waves with asymptotic analytical and numerical methods. Geodesic motions that we derived from pp-waves metric, generate deterministic chaotic Hamiltonian flow on plane of real coordinates and corresponding phase-spaces in case of n greater than or equal to 3, which belongs to the famous Henon-Heiles family. Analysing the integrability of this type of Hamiltonian flow, show that even simple and well-know dynamics of pp-waves could evolve in complex fashion.
(c) 2000-2009
Mehmet Suzen
mehmet[dot]suzen[at]physics[dot]org
