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Some simple theories of gravity with propagating torsion

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arxiv 2312.10249 v3 pith:7LYGV6FJ submitted 2023-12-15 gr-qc astro-ph.COhep-phhep-th

classification gr-qcastro-ph.COhep-phhep-th
keywords theoriesgravitylagrangiantermsantisymmetricaroundbeenconsider
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider antisymmetric Metric-Affine Theories of Gravity with a Lagrangian containing the most general terms up to dimension four and search for theories that are ghost- and tachyon-free when expanded around flat space. We find new examples that propagate only the graviton and one other massive degree of freedom of spin zero, one or two. These models require terms of the form $(\nabla T)^2$ in the Lagrangian, that have been largely ignored in the literature.

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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

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    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.

  4. On the Gravitational Origin of the QCD Axion

    hep-th 2025-06 accept novelty 7.0 of 10

    Derivative-coupled gravitational axions cannot solve the strong CP problem; Weyl-invariant Einstein-Cartan gravity is identified as the only promising framework for a gravitational QCD axion.

  5. Torsion induced current-scalaron coupling in Einstein-Cartan gravity

    hep-ph 2025-07 conditional novelty 6.0 of 10

    In Einstein-Cartan gravity, torsion-current couplings induce scalaron-current and scalaron Chern-Simons interactions, with explicit decay constants and a classification of their asymptotic behavior.

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