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

Published 20 Nov 2011 in math-ph, gr-qc, math.DG, and math.MP | (1111.4690v1)

Abstract: 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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