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Inflation in Metric-Affine Quadratic Gravity

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arxiv 2212.09896 v2 pith:ZL4VC5FO submitted 2022-12-19 gr-qc astro-ph.COhep-th

Ioannis D. Gialamas , Kyriakos Tamvakis This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords curvatureeffectivegravityincreaseinflationarymetricmetric-affinequadratic
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In the general framework of Metric-Affine theories of gravity, where the metric and the connection are independent variables, we consider actions quadratic in the Ricci scalar curvature and the Holst invariant (the contraction of the Riemann curvature with the Levi-Civita antisymmetric tensor) coupled non-minimally to a scalar field. We study the profile of the equivalent effective metric theory, featuring an extra dynamical pseudoscalar degree of freedom, and show that it reduces to an effective single-field inflationary model. We analyze in detail the inflationary predictions and find that they fall within the latest observational bounds for a wide range of parameters, allowing for an increase in the tensor-to-scalar ratio. The spectral index can either decrease or increase depending on the position in parameter space.

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Cited by 6 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. Inflation and Reheating by Dynamical Torsion

    hep-ph 2026-07 conditional novelty 6.0 of 10

    The dynamical-torsion inflaton decays via chiral anomalies and Yukawa-assisted three-body channels, yielding a reheating temperature of 10^5–10^7 GeV and testable CMB/GW predictions.

  3. Weyl-invariant Einstein-Cartan gravity with a heavy ALP: Higgs Inflation and $\alpha$-attractors

    hep-ph 2025-07 conditional novelty 6.0 of 10

    In a Weyl-invariant Einstein-Cartan gravity theory with the SM Higgs and a heavy gravitational ALP, tuning two nonminimal couplings reproduces metric Higgs inflation and α-attractor-like inflation with ns≈1−2/N and r≈12/N^2.

  4. Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Adding cubic Holst-invariant terms to F(R,R̃) Einstein-Cartan inflation models systematically lowers the predicted spectral index n_s and tensor-to-scalar ratio r, restoring data compatibility in parameter regions whe...

  5. Thermodynamics of FLRW universe in Quadratic Gravity

    gr-qc 2025-07 reject novelty 5.0 of 10

    Quadratic-gravity terms are claimed to shift the thermodynamic phase structure of the FLRW apparent horizon, but the printed critical-radius formula does not follow from the paper's own equation of state.

  6. Constraining Quintessential Inflation with ACT: A Gauss-Bonnet Gateway

    astro-ph.CO 2026-04 unverdicted novelty 4.5 of 10

    Exponential and sech Gauss–Bonnet couplings restore ACT-compatible ns and r for quintessential inflation, while tanh fails for a structural sign reason; reheating remains BBN-safe.

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