Nonexistence of the final first integral in the Zipoy-Voorhees space-time

Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

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classification 🌀 gr-qc math-phmath.MP

keywords firstintegralspace-timezipoy-voorheesadditionalexistfinalgeodesic

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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.

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Nonexistence of the final first integral in the Zipoy-Voorhees space-time

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