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Pathological Character of Modifications to Coincident General Relativity: Cosmological Strong Coupling and Ghosts in f(Q) Theories

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arxiv 2311.04201 v2 pith:I5U2U24D submitted 2023-11-07 gr-qc astro-ph.CO

Pathological Character of Modifications to Coincident General Relativity: Cosmological Strong Coupling and Ghosts in f(Q) Theories

classification gr-qc astro-ph.CO
keywords theoriescosmologiesdegreesfreedomgeneralghostsmathbbpresence
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The intrinsic presence of ghosts in the symmetric teleparallel framework is elucidated. We illustrate our general arguments in $f(\mathbb{Q})$ theories by studying perturbations in the three inequivalent spatially flat cosmologies. Two of these branches exhibit reduced linear spectra, signalling they are infinitely strongly coupled. For the remaining branch we unveil the presence of seven gravitational degrees of freedom and show that at least one of them is a ghost. Our results rule out $f(\mathbb{Q})$ cosmologies and clarify the number of propagating degrees of freedom in these theories.

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Cited by 4 Pith papers

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

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  2. ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity

    gr-qc 2026-07 conditional novelty 4.0

    Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.

  3. Physical nonviability of $f(\mathbb{Q})$ in the scalar-tensor representation

    gr-qc 2026-06 conditional novelty 4.0

    The scalar-tensor representation of f(Q) gravity reproduces the known ghost/strong-coupling obstruction, so the pathology is not an artifact of the original variables.

  4. Physical nonviability of $f(\mathbb{Q})$ in the scalar-tensor representation

    gr-qc 2026-06 unverdicted novelty 2.0

    f(Q) gravity exhibits pathological behavior in its scalar-tensor representation.