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- W3100123634 abstract "We study the integrability of the geodesic equations of the Chazy-Curzon space-time. It was established that for the equilibrium point pρ = pz = z = 0 and, ρ0 ∈ (1, 2), there are only periodic solutions, the Hamiltonian system, describing geodesic motion of Chazy-Curzon space-time has no additional analytic first integral. Our approach is based on the following: if the system has a family of periodic solutions around an equilibrium and if the period function is infinitely branched then the system has no additional analytical first integral." @default.
- W3100123634 created "2020-11-23" @default.
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- W3100123634 date "2019-01-01" @default.
- W3100123634 modified "2023-09-25" @default.
- W3100123634 title "Non-integrability of geodesic dynamics of Chazy-Curzon space-time" @default.
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- W3100123634 doi "https://doi.org/10.1063/1.5133490" @default.
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