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2021

Covariant formulation of f(Q) theory

Zhao, Dehao

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In Symmetric Teleparallel General Relativity, gravity is attributed to the non-metricity.

The so-called "coincident gauge" is usually taken in this theory so that the affine connection vanishes and the metric is the only fundamental variable.
This gauge choice was kept in many studies on the extensions of Symmetric Teleparallel General Relativity, such as the so-called f(Q) theory.
In this paper, we point out that sometimes this will make the f(Q) theory inconsistent.

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