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Slow-roll inflation in $f(Q)$ non-metric gravity

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arxiv 2209.06670 v1 pith:FESVXU6P submitted 2022-09-14 gr-qc astro-ph.COhep-th

Salvatore Capozziello , Mehdi Shokri This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords inflationgravitynon-metricframepotentialsapproachesarraybicep2
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We discuss the cosmological inflation in the context of $f(Q)$ non-metric gravity, where $Q$ is the non-metric scalar. After introducing conformal transformations for $f(Q)$ gravity, we first focus on the potential-slow-roll inflation by studying the corresponding potentials for different forms of the function $f(Q)$ in the Einstein frame. Secondly, we investigate the Hubble-slow-roll inflation for three classes of inflationary potentials considered for the specific form $f(Q)\propto Q^{2}$, in the Jordan frame. We compare results in both approaches with observations coming from Planck and BICEP2/Keck array satellites. Observational constraints on the parameters space of the models are obtained as well.

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Cited by 4 Pith papers

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

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

    gr-qc 2026-07 conditional novelty 4.0 of 10

    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.

  2. Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\sigma_8$ tension

    astro-ph.CO 2025-12 conditional novelty 4.0 of 10

    A sqrt(Q) correction in f(Q) gravity suppresses structure growth without altering the expansion history; fitted to RSD/DESI data it can bring sigma8 into agreement with Planck, at the cost of a sigma8-M degeneracy.

  3. Properties of compact objects in quadratic non-metricity gravity

    gr-qc 2025-07 reject novelty 4.0 of 10

    Quadratic non-metricity gravity with a fitted coupling ξ can match PSR J0740+6620 while keeping the radial sound speed below c²/3, according to the paper's chosen metric ansatz.

  4. The Wave Function of the Universe and Inflation

    gr-qc 2025-10 reject novelty 3.0 of 10

    Rearranging the Wheeler-DeWitt equation defines the inflaton potential in terms of an arbitrary wave-function phase and amplitude; nothing constrains that wave function, so the potential is relabeled rather than deriv...

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