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Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity

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arxiv 2006.08027 v2 pith:3WD6SIJZ submitted 2020-06-14 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords potentialquarticcouplingeinstein-gauss-bonnetfieldframeworkgravityinflation
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abstract

We investigate inflationary dynamics in the framework of the Einstein-Gauss-Bonnet gravity. In the model under consideration, the inflaton field is non-minimally coupled to the Gauss-Bonnet curvature invariant, so that the latter appears to be dynamically important. We consider a quartic potential for the inflaton field, in particular the one asymptotically connected to the Higgs inflation, and a wider class of coupling functions not considered in the earlier work. Keeping in mind the observational bounds on the parameters - the amplitude of scalar perturbations $A_s$, spectral index $n_s$ and tensor-to-scalar ratio $r$, we demonstrate that the model a quartic potential and the proposed coupling function is in agreement with observation.

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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. Einstein--Gauss--Bonnet Inflationary Cosmology in Phase-$\theta$ Formalism

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Phase-θ formalism maps EGB inflation backgrounds to closed-form observables beyond slow-roll; Starobinsky+linear-GB fits ACT DR6 ns and r while predicting a DECIGO-accessible GW plateau.

  2. 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.

  3. From Quantum Correlations to Inflationary Tracking Scalar Field Evolution

    gr-qc 2026-08 reject novelty 4.0 of 10

    The author argues, via condensed-matter-style analogies, that the inflationary tracking condition emerges when the correlation length of primordial quantum degrees of freedom scales as a power of the Hubble radius.

  4. Power Law Plateau Inflation and Primary Gravitational Waves in the light of ACT

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    Power-law plateau inflation can sit inside the 1 sigma region of ACT DR6, but the reheating bound from gravitational waves forces the total number of e-folds N_k below about 62.

  5. GW170817 Viable Einstein-Gauss-Bonnet Inflation Compatible with the Atacama Cosmology Telescope Data

    gr-qc 2025-06 conditional novelty 4.0 of 10

    Einstein-Gauss-Bonnet inflation models with tuned small couplings can reproduce the ACT scalar spectral index and the Planck tensor-to-scalar ratio bound while keeping the gravitational wave speed within the GW170817 limit.

  6. Gauss-Bonnet-induced symmetry breaking/restoration during inflation

    hep-th 2025-02 conditional novelty 4.0 of 10

    A Gauss-Bonnet coupling can flip a scalar field's effective mass sign during inflation, triggering symmetry breaking or restoration mid-inflation while leaving the inflationary background and its CMB predictions essen...

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