27 citations · 87 across the 5 of their papers we have counts for
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Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves
K. Vesely, J. Podolsky
A Hamiltonian system with a modified Henon-Heiles potential is investigated. This describes the motion of free test particles in vacuum gravitational pp-wave spacetimes with both q…
Smearing of chaos in sandwich pp-waves
J. Podolsky, K. Vesely
Recent results demonstrating the chaotic behavior of geodesics in non-homogeneous vacuum pp-wave solutions are generalized. Here we concentrate on motion in non-homogeneous sandwic…
Chaotic motion in pp-wave spacetimes
J. Podolsky, K. Vesely
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…
Continuous coordinates for all impulsive pp - waves
J. Podolsky, K. Vesely
We present a coordinate system for a general impulsive gravitational pp - wave in vacuum in which the metric is explicitly continuous, synchronous and "transverse". Also, it is mor…
New examples of sandwich gravitational waves and their impulsive limit
J. Podolsky, K. Vesely
Non-standard sandwich gravitational waves are constructed from the homogeneous pp vacuum solution and the motions of free test particles in the space-times are calculated explicitl…