Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2022-07-26

AUTHORS

M. N. Hounkonnou, M. J. Landalidji, M. Mitrović

ABSTRACT

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.

PAGES

1001-1018

References to SciGraph publications

  • <error retrieving object. in <ERROR RETRIEVING OBJECT
  • 1980-07. The Schouten Bracket and Hamiltonian operators in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
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  • 1984-10. A new characterization of completely integrable systems in IL NUOVO CIMENTO B (1971-1996)
  • 1897. Sur le mouvement d'un corps solide pesant suspendu par l'un de ses points in ACTA MATHEMATICA
  • 2004-10. Sagnac Effect of Gödel's Universe in GENERAL RELATIVITY AND GRAVITATION
  • 2018-07-25. The energy–momentum distributions and relativistic quantum effects on scalar and spin-half particles in a Gödel-type space–time in EUROPEAN PHYSICAL JOURNAL C
  • 2019-11-27. Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space in GEOMETRIC METHODS IN PHYSICS XXXVII
  • 2019-03-12. Recursion Operator in a Noncommutative Minkowski Phase Space in GEOMETRIC METHODS IN PHYSICS XXXVI
  • 2021-06-28. Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures in THEORETICAL AND MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0040577922070091

    DOI

    http://dx.doi.org/10.1134/s0040577922070091

    DIMENSIONS

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