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Metric-Affine Gauge Theory of Gravity I. Fundamental Structure and Field Equations

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arxiv gr-qc/9702034 v1 pith:RPXWB4PJ submitted 1997-02-18 gr-qc hep-th

Frank Gronwald This is my paper · ORCID
classification gr-qchep-th
keywords theorygaugegravitymetric-affineaffinefieldgroupalong
verification ladder T0 review T1 audit T2 compute T3 formal

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We give a self-contained introduction into the metric-affine gauge theory of gravity. Starting from the equivalence of reference frames, the prototype of a gauge theory is presented and illustrated by the example of Yang-Mills theory. Along the same lines we perform a gauging of the affine group and establish the geometry of metric-affine gravity. The results are put into the dynamical framework of a classical field theory. We derive subcases of metric-affine gravity by restricting the affine group to some of its subgroups. The important subcase of general relativity as a gauge theory of translations is explained in detail.

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Cited by 3 Pith papers

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

  1. 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.

  2. Equivalence Principle violation in metric-affine gravity and finite-temperature effects

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    Metric-affine gravity formulates equivalence principle violations via non-metricity that parallel finite-temperature mass-ratio shifts, and a generalized Fermi-Walker derivative shows no orthonormal tetrad propagates ...

  3. The Quintom theory of dark energy after DESI DR2

    astro-ph.CO 2025-05 unverdicted novelty 3.0 of 10

    This review traces the history of dynamical dark energy, presents the no-go theorem against single-field crossing of w = -1, and surveys viable Quintom constructions including multi-field models and modified gravity i...

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