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arxiv: 1111.4690 · v1 · pith:Z4NWOMSRnew · submitted 2011-11-20 · 🧮 math-ph · gr-qc· math.DG· math.MP

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

Boris S. Kruglikov , Vladimir S. Matveev This is my paper
classification 🧮 math-ph gr-qcmath.DGmath.MP
keywords degreeintegralmomentanonexistencezipoy-voorheesdeltalessmetric
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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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