Chaotic motion in Kundt spacetimes

Abstract

We demonstrate that geodesics in exact vacuum Kundt gravitational waves may exhibit a highly complicated behaviour. In fact, as in the previously studied case of non-homogeneous pp-waves, for specific choices of the structural function the motion appears to be genuinely chaotic. This fact is demonstrated by the fractal method.

15 pages, 9 figures. To appear in Classical and Quantum Gravity