Lost in translation: The Abelian affine connection (in the coincident gauge)

The simplest, i.e. the Abelian, i.e. the commutative, i.e. the integrable, i.e. the flat and torsion-free, i.e. the symmetric teleparallel affine connection has been considered in many recent works in the literature. Such an affine connection is characterized by the property that it can be vanished...

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Published inInternational journal of geometric methods in modern physics Vol. 19; no. 7
Main Authors Beltrán Jiménez, Jose, Koivisto, Tomi S.
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.06.2022
World Scientific Publishing Co. Pte., Ltd
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ISSN0219-8878
1793-6977
DOI10.1142/S0219887822501080

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Summary:The simplest, i.e. the Abelian, i.e. the commutative, i.e. the integrable, i.e. the flat and torsion-free, i.e. the symmetric teleparallel affine connection has been considered in many recent works in the literature. Such an affine connection is characterized by the property that it can be vanished by a general coordinate transformation, by fixing the so-called coincident gauge. This paper focuses on the subtleties involved in the applications of the coincident gauge.
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ISSN:0219-8878
1793-6977
DOI:10.1142/S0219887822501080