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Scale Transformations in Metric-Affine Geometry
This article presents an exhaustive classification of metric-affine theories according to their scale symmetries. First it is clarified that there are three relevant definitions of a scale transformation. These correspond to a projective transformation of the connection, a rescaling of the orthonormal frame, and a combination of the two. The most general second order quadratic metric-affine action, including the parity-violating terms, is constructed in each of the three cases. The results candoi:10.3390/universe5030082 fatcat:e4agmgwkarcbfi75hb4wya3q4u