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Scale transformations in metric-affine geometry

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arxiv 1810.12276 v1 pith:TVPBCDP5 submitted 2018-10-29 gr-qc

Damianos Iosifidis , Tomi Koivisto This is my paper · ORCID
classification gr-qc
keywords metric-affinescalegeneralincludingteleparallelthreetransformationaccording
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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.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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.

  2. Weyl-invariant Einstein-Cartan gravity with a heavy ALP: Higgs Inflation and $\alpha$-attractors

    hep-ph 2025-07 conditional novelty 6.0 of 10

    In a Weyl-invariant Einstein-Cartan gravity theory with the SM Higgs and a heavy gravitational ALP, tuning two nonminimal couplings reproduces metric Higgs inflation and α-attractor-like inflation with ns≈1−2/N and r≈12/N^2.

  3. Complete background cosmology of parity-even quadratic metric-affine gravity

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The full background dynamics of parity-even quadratic metric-affine gravity in FLRW spacetimes are derived, including branches with spatial-curvature screening and analytic de Sitter-like solutions.

  4. Friedmann cosmology with hyperfluids

    gr-qc 2024-11 conditional novelty 6.0 of 10

    For a class of hyperfluid models in metric-affine gravity, the FLRW evolution of H(t) and rho(t) keeps the general relativity form, with hypermomentum effects encoded only in modified barotropic indices.

  5. Conformal Gravity and Transformations in the Symmetric Teleparallel Framework

    gr-qc 2019-08 conditional novelty 6.0 of 10

    A conformally invariant gravity action built from the square of a non-metricity scalar gives second-order field equations in symmetric teleparallel gravity.

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