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

Abstract We discuss equivalent representations of gravity in the framework metric-affine geometries pointing out basic concepts from where these theories stem out. In particular, we take into account tetrads and spin connection to describe so called Geometric Trinity Gravity . Specifically, consider General Relativity, constructed upon metric tensor based on curvature R ; Teleparallel Equivalen...