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A New Class of Ghost and Tachyon Free Metric Affine Gravities

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arxiv 1912.01023 v3 pith:MIOOB3TI submitted 2019-12-02 hep-th

R. Percacci , E. Sezgin This is my paper
classification hep-th
keywords generalcaseclassfreemetricspintensortheory
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We construct the spin-projection operators for a theory containing a symmetric two-index tensor and a general three-index tensor. We then use them to analyse, at linearized level, the most general action for a metric-affine theory of gravity with terms up to second order in curvature, which depends on 28 parameters. In the metric case we recover known results. In the torsion-free case, we are able to determine the most general class of theories that are projective invariant, contain only one massless spin 2 and no spin 3, and are free of ghosts and tachyons.

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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. Numerical polology: towards next-generation model-building for cosmology

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    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. Gravitational waves in Cubic Metric-Affine Gravity

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    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. `Translation invariant' black hole: autoparallels and complete integrability

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Autoparallel motion in a class of torsionful Schwarzschild spacetimes is completely integrable via four conserved quantities, and positive-energy autoparallels are repelled by the black hole.

  5. The particle spectra of parity-violating theories: A less radical approach and an upgrade of PSALTer

    hep-th 2025-06 conditional novelty 6.0 of 10

    The authors derive a simpler no-ghost condition based on a kinetic matrix and release a parity-violating upgrade of PSALTer, demonstrating it on Einstein-Cartan gravity with two scalar modes.

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