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math-ph2023★ 9 cited
Destructive relativity
Maria Przybylska, Wojciech Szumiński, Andrzej J. Maciejewski
Relativistic Hamiltonian equations describing a motion of a point mass in an arbitrary homogeneous potential are considered. For the first time, the necessary integrability conditi…
math-ph2023★ 1 cited
The geodesic flow of the BGPP metric is Liouville integrable
Andrzej J. Maciejewski, Maria Przybylska, Galliano Valent
We prove that the geodesics equations corresponding to the BGPP metric are integrable in the Liouville sense. The symmetry of the model allows to reduce…