Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian Dynamics of a spaceship in Alcubierre and G\"odel metrics:
  Recursion operators and underlying master symmetries   We study the Hamiltonian dynamics of a spaceship in the background of
Alcubierre and G\"odel metrics. We derive the Hamiltonian vector fields
governing the system evolution, construct and discuss related recursion
operators generating the constants of motion. Besides, we characterize relevant
master symmetries.

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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: econ