Scale transformations in metric-affine geometry
General Relativity and Quantum Cosmology
2021-04-02 v1
Abstract
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 can be straightforwardly generalised by including higher derivatives, and implemented in the general metric-affine, teleparallel, and symmetric teleparallel geometries.
Cite
@article{arxiv.1810.12276,
title = {Scale transformations in metric-affine geometry},
author = {Damianos Iosifidis and Tomi Koivisto},
journal= {arXiv preprint arXiv:1810.12276},
year = {2021}
}
Comments
19 pages + 10 for appendices and references