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Scale Transformations in Metric-Affine Geometry
Aristotle Univ Thessaloniki, Inst Theoret Phys, Dept Phys, Thessaloniki 54124, Greece..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia ; National Institute of Chemical Physics and Biophysics, Rävala pst. 10, 10143 Tallinn, Estonia ; Helsinki Institute of Physics and Department of Physical Sciences, Helsinki University, P.O. Box 64, FIN-00014 Helsinki, Finland.ORCID iD: 0000-0002-9403-8565
2019 (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
MDPI , 2019. Vol. 5, no 3, article id 82
Keywords [en]
scale invariance, Palatini formalism, metric affine gauge theory of gravity
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:kth:diva-251221DOI: 10.3390/universe5030082ISI: 000464054300001Scopus ID: 2-s2.0-85064415076OAI: oai:DiVA.org:kth-251221DiVA, id: diva2:1317910
Note

QC 20190524

Available from: 2019-05-24 Created: 2019-05-24 Last updated: 2019-05-24Bibliographically approved

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Koivisto, Tomi S.

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