Nonexistence of the final first integral in the Zipoy-Voorhees space-time
General Relativity and Quantum Cosmology
2013-10-07 v3 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1302.4234,
title = {Nonexistence of the final first integral in the Zipoy-Voorhees space-time},
author = {Andrzej J. Maciejewski and Maria Przybylska and Tomasz Stachowiak},
journal= {arXiv preprint arXiv:1302.4234},
year = {2013}
}
Comments
7 pages, 1 figure; updated theory section and minor language corrections in version 3