1302.4234 (Andrzej J. Maciejewski et al.)

Non-existence of the final first integral in the Zipoy-Voorhees
space-time    [PDF]

Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak

We show that the geodesic motion in the Zipoy-Voorhees space-time is not Liouville integrable in that there does not exist an additional first integral, meromorphic in the phase space variables.

View original: http://arxiv.org/abs/1302.4234