Nonexistence of an integral of the 6th degree in momenta for the Zipoy-Voorhees metric

Details Nonexistence of an integral of the 6th degree in momenta for the Zipoy-Voorhees metric Nonexistence of an integral of the 6th degree in momenta for the Zipoy-Voorhees metric

2011-11-20

arxiv.org/abs/1111.4690v1

Physics

Mathematical Physics

7 pages, no figures

Scientific paper

We prove nonexistence of a nontrivial integral that is polynomial in momenta
of degree less than 7 for the Zipoy-Voorhees spacetime with the parameter
$\delta=2$

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