Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Novel Geometric Gauge Invariance of Autoparallels   We draw attention to a novel type of geometric gauge invariance relating the
autoparallel equations of motion in different Riemann-Cartan spacetimes with
each other. The novelty lies in the fact that the equations of motion are
invariant even though the actions are not. As an application we use this gauge
transformation to map the action of a spinless point particle in a
Riemann-Cartan spacetime with a gradient torsion to a purely Riemann spacetime,
in which the initial torsion appears as a nongeometric external field. By
extremizing the transformed action in the usual way, we obtain the same
autoparallel equations of motion as those derived in the initial spacetime with
torsion via a recently-discovered variational principle.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga