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Vector stability in quadratic metric-affine theories

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arxiv 2205.05674 v2 pith:42B6KLAI submitted 2022-05-11 gr-qc hep-th

Alejandro Jiménez-Cano , Francisco José Maldonado Torralba This is my paper · ORCID
classification gr-qchep-th
keywords vectorquadraticstabilitymetric-affinetheoryassociatedcompatibleconditions
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In this work we study the stability of the four vector irreducible pieces of the torsion and the nonmetricity tensors in the general quadratic metric-affine Lagrangian in 4 dimensions. The goal will be to elucidate under which conditions the spin-1 modes associated to such vectors can propagate in a safe way, together with the graviton. This highly constrains the theory reducing the parameter space of the quadratic curvature part from 16 to 5 parameters. We also study the sub-case of Weyl-Cartan gravity, proving that the stability of the vector sector is only compatible with an Einstein-Proca theory for the Weyl vector.

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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. 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.

  2. Propagating degrees of freedom on maximally-symmetric backgrounds in $f(R)$ theories of gravity

    gr-qc 2024-12 accept novelty 7.0 of 10

    For all degenerate f(R) models, the linearized spectrum on maximally symmetric backgrounds is empty: no graviton and no scalaron.

  3. Gravitational waves in Cubic Metric-Affine Gravity

    gr-qc 2025-11 conditional novelty 6.0 of 10

    New exact pp-wave solutions in cubic metric-affine gravity have dynamical torsion and nonmetricity and cause a scalar polarization mode in gravitational waves.

  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. Stability in Cubic Metric-Affine Gravity

    gr-qc 2024-11 conditional novelty 6.0 of 10

    Cubic-order curvature, torsion, and nonmetricity invariants can remove the vector and axial instabilities of quadratic metric-affine gravity and allow Reissner-Nordstrom-like black holes with massive tensor modes.

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