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Scale Transformations in Metric-Affine Geometry
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Tartu, Finland; National Institute of Chemical Physics and Biophysics, Estonia; Helsinki University, Finland.
Number of Authors: 22019 (English)In: Universe, ISSN 2218-1997, Vol. 5, no 3, article id 82Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2019. Vol. 5, no 3, article id 82
Keywords [en]
scale invariance, Palatini formalism, metric affine gauge theory of gravity
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-168377DOI: 10.3390/universe5030082ISI: 000464054300001OAI: oai:DiVA.org:su-168377DiVA, id: diva2:1314148
Available from: 2019-05-07 Created: 2019-05-07 Last updated: 2019-05-07Bibliographically approved

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