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

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arxiv 2202.01701 v1 pith:VKY3DMBY submitted 2022-02-03 gr-qc

Jose Beltrán Jiménez , Tomi S. Koivisto This is my paper · ORCID
classification gr-qc
keywords affinecoincidentconnectiongaugeabelianapplicationsarticlebeen
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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 characterised by the property that it can be vanished by a general coordinate transformation, by fixing the so called coincident gauge. This article focuses on the subtleties involved in the applications of the coincident gauge.

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