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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 1, Pages 129–148
DOI: https://doi.org/10.4213/tmf10209 (Mi tmf10209) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

M. N. Hounkonnouab, M. J. Landalidjiab, M. Mitroviccab

a International Chair of Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, Cotonou, Benin
b Centre International de Recherches et d'Etude Avancées en Sciences Mathématiques & Informatiques et Applications (CIREASMIA), Cotonou, Benin
c Center of Applied Mathematics, Faculty of Mechanical Engineering (CAM-FMEN), University of Niš, Niš, Serbia
Full-text PDF (521 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf10209
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.
Keywords: Hamiltonian dynamics, Alcubierre metric, Poisson bracket, Gödel metric, recursion operator, master symmetry.
Funding agency Grant number
University of Niš
M. Mitrović is supported by the Faculty of Mechanical Engineering, University of Niš, Serbia (grant “Research and development of new generation machine systems in the function of the technological development of Serbia”).
Received: 22.11.2021
Revised: 30.12.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 1, Pages 1001–1018
DOI: https://doi.org/10.1134/S0040577922070091
Bibliographic databases:
Document Type: Article
MSC: 37C10; 37J35; 37K05; 37K10
Language: Russian
Citation: M. N. Hounkonnou, M. J. Landalidji, M. Mitrovic, “Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries”, TMF, 212:1 (2022), 129–148; Theoret. and Math. Phys., 212:1 (2022), 1001–1018
Citation in format AMSBIB
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\by M.~N.~Hounkonnou, M.~J.~Landalidji, M.~Mitrovic
\paper Hamiltonian dynamics of a~spaceship in Alcubierre and G\"{o}del metrics: Recursion operators and underlying master symmetries
\jour TMF
\yr 2022
\vol 212
\issue 1
\pages 129--148
\mathnet{http://mi.mathnet.ru/tmf10209}
\crossref{https://doi.org/10.4213/tmf10209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461548}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1001H}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 1
\pages 1001--1018
\crossref{https://doi.org/10.1134/S0040577922070091}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129160111}
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  • https://www.mathnet.ru/eng/tmf10209
  • https://doi.org/10.4213/tmf10209
  • https://www.mathnet.ru/eng/tmf/v212/i1/p129
    • This publication is cited in the following 3 articles:
    1. Man Jia, S.Y. Lou, “Physical explanations of infinite symmetries of Sharma-Tasso-Olver equation”, Physics Letters A, 532 (2025), 130200  crossref
    2. M. N. Hounkonnou, M. Mitrović, “Problematic of mathematics, social sciences, and arts: a ubiquitous constructive interaction in algebraic modeling”, Mathematics for Social Sciences and Arts, Mathematics in Mind, 2023, 3–29  crossref  mathscinet
    3. Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrović, “Einstein Field Equation, Recursion Operators, Noether and Master Symmetries in Conformable Poisson Manifolds”, Universe, 8:4 (2022), 247  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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