Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Teleparallel theory as a gauge theory of translations: comments and
  issues   The Teleparallel Equivalent to General Relativity (TEGR) is often presented
as a gauge theory of translations, i.e., that uses \emph{only} the translation
group $T_4 = (\setR^4, +)$ as its gauge group. In a previous work we argued
against this \emph{translation-only} formalism on the basis of its mathematical
shortcomings. We then provided an alternative proposal using a Cartan
connection. Recently, a reply by some of the authors defending TEGR as a
\emph{translation-only} gauge theory discussed our objections. Here, we first
clarify our arguments, and give new proofs of some statements, to answer to
these discussions, maintaining our first claim. We then amend one of the
argument that originally led us to propose the Cartan connection in this
context. This broadens the \emph{a priori} possible choices for a TEGR
connection.

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The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: comp-gas