Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensional Reduction of the 5D Kaluza-Klein Geodesic Deviation Equation   In the work of Kerner et al. (2001) the problem of the geodesic deviation in
a 5D Kaluza Klein background is faced. The 4D space-time projection of the
resulting equation coincides with the usual geodesic deviation equation in the
presence of the Lorenz force, provided that the fifth component of the
deviation vector satisfies an extra constraint which takes into account the
$q/m$ conservation along the path. The analysis was performed setting as a
constant the scalar field which appears in Kaluza-Klein model. Here we focus on
the extension of such a work to the model where the presence of the scalar
field is considered. Our result coincides with that of Kerner et al. when the
minimal case $\phi=1$ is considered, while it shows some departures in the
general case. The novelty due to the presence of $\phi$ is that the variation
of the $q/m$ between the two geodesic lines is not conserved during the motion;
an exact law for such a behaviour has been derived.

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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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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: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th