Weyl-invariant extension of the Metric-Affine Gravity

M. R. Tanhayi; R. Vazirian; Z. A. Motahar

Weyl-invariant extension of the Metric-Affine Gravity

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arxiv 1310.1452 v2 pith:QQOR5B64 submitted 2013-10-05 gr-qc

R. Vazirian , M. R. Tanhayi , Z. A. Motahar This is my paper · ORCID

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keywords actionweyl-invariantextensiongeneralmetric-affineobtainedcaseconformally

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Metric-affine geometry provides a non-trivial extension of the general relativity where the metric and connection are treated as the two independent fundamental quantities in constructing the space-time (with non-vanishing torsion and non-metricity). In this paper we study the generic form of action in this formalism, and then construct the Weyl-invariant version of this theory. It is shown that in Weitzenbock space, the obtained Weyl-invariant action can cover the conformally invariant teleparallel action. Finally the related field equations are obtained in the general case.

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Scale-invariant Schr\"{o}dinger geometry in symmetric teleparallel gravity
gr-qc 2026-07 conditional novelty 6.0 of 10

A quadratic nonmetricity action of Schrödinger type is locally scale-invariant exactly when its Palatini connection equations admit the length-preserving Schrödinger connection.

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