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Metric-Affine Gauge theories of gravity: Foundations and new insights

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arxiv 2201.12847 v1 pith:UIIJWISX submitted 2022-01-30 gr-qc hep-thmath-phmath.MP

Alejandro Jiménez-Cano This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords metric-affinegeneralframeworkgaugegravityinvariantsrelativityalternative
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This thesis covers several developments performed in metric-affine gravity. This alternative framework extends General Relativity by considering a more general connection than the one induced by the metric (i.e., arbitrary torsion and nonmetricity participate in the dynamics). We start by revising some mathematical aspects of the metric-affine framework, the way Lovelock and other invariants are extended to it and the construction of a gauge formalism. Then we focus on metric-affine pp-wave geometries and explore solutions of this type for the quadratic metric-affine Lagrangian (with even-parity invariants). Finally, in the last part of the manuscript, we analyze from a more field-theoretical point of view the viability of different extensions of General Relativity by guaranteeing the stability of their degrees of freedom.

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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. Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature

    gr-qc 2026-01 unverdicted novelty 7.0 of 10

    Jacobson's thermodynamic approach applied to non-Riemannian geometries selects the Einstein-Hilbert action plus a quadratic torsion term as Nature's choice when non-metricity is absent and the metric energy-momentum t...

  2. Infrared foundations for quantum geometry II: Catalogue of all torsion-like theories including new ghost-tachyon-free cases

    hep-th 2025-07 conditional novelty 7.0 of 10

    A systematic catalogue of symmetric pair-antisymmetric rank-three field theories yields 22 ghost-tachyon-free models, all propagating vector torsion and none propagating scalar or pseudoscalar torsion.

  3. Revisiting Coincident GR in Internal STEGR Formulation

    gr-qc 2025-06 conditional novelty 5.0 of 10

    The paper derives internal-STEGR field equations, recovers coincident GR as the coincident-gauge sector, and finds that massive test particles obey a norm-flow equation instead of geodesics.

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