Geodesic
Hamiltonian dynamics of a~spaceship in Alcubierre and G\"{o}del metrics: Recursion operators and underlying master symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 1, pp. 129-148

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We study the Hamiltonian dynamics of a spaceship in the background of Alcubierre and Gödel metrics. We derive the Hamiltonian vector fields governing the system evolution, and construct and discuss the associated recursion operators generating the constants of motion. We also characterize relevant master symmetries.
Keywords: Hamiltonian dynamics, Gödel metric, recursion operator, master symmetry.
Mots-clés : Alcubierre metric, Poisson bracket 
@article{TMF_2022_212_1_a8,
     author = {M. N. Hounkonnou and M. J. Landalidji and M. Mitrovic},
     title = {Hamiltonian dynamics of a~spaceship in {Alcubierre} and {G\"{o}del} metrics: {Recursion} operators and underlying master symmetries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {129--148},
     publisher = {mathdoc},
     volume = {212},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_1_a8/}
}
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M. N. Hounkonnou; M. J. Landalidji; M. Mitrovic. Hamiltonian dynamics of a~spaceship in Alcubierre and G\"{o}del metrics: Recursion operators and underlying master symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 1, pp. 129-148. http://geodesic.mathdoc.fr/item/TMF_2022_212_1_a8/