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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

Ekaterina O. Pozdeeva , Mayukh Raj Gangopadhyay , Mohammad Sami , Alexey V. Toporensky , Sergey Yu. Vernov This is my paper · ORCID
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 12 Pith papers

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

  1. Adiabatic Perturbations in GW170817-Compatible Einstein-Gauss-Bonnet Inflation

    gr-qc 2026-08 reject novelty 5.0 of 10

    In Einstein-Gauss-Bonnet inflation, the unconstrained GW170817-compatible models keep perturbations adiabatic, while the constrained class violates adiabaticity in the last few e-foldings.

  2. 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.

  3. Non-Standard Thermal History and Formation of Primordial Black Holes in Einstein-Gauss-Bonnet Gravity

    gr-qc 2025-01 conditional novelty 5.0 of 10

    A tuned Einstein-Gauss-Bonnet inflation model can create primordial black holes from asteroid-sized to tens of solar masses and secondary gravitational waves, with abundances that change dramatically in a stiff post-i...

  4. 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.

  5. 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.

  6. Reconciling Fractional Power Potential and EGB Gravity in the light of ACT

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

    In EGB gravity, the V0 phi^n potential with n = 1/3 and 2/5 can produce ns and r within the 1 sigma ACT r-ns region for selected coupling values.

  7. 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.

  8. 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.

  9. Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating

    astro-ph.CO 2025-05 conditional novelty 4.0 of 10

    In Einstein-Gauss-Bonnet gravity, the Mutated Hilltop inflation model can satisfy Planck'18 bounds on the spectral index and tensor-to-scalar ratio when the Gauss-Bonnet coupling parameters are tuned, with the new slo...

  10. Starobinsky like inflation and EGB Gravity in the light of ACT

    astro-ph.CO 2025-05 conditional novelty 4.0 of 10

    Starobinsky inflation with a tuned Einstein-Gauss-Bonnet coupling can reproduce the ACT-enhanced scalar spectral index within 1σ.

  11. 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...

  12. Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers

    gr-qc 2024-11 conditional novelty 4.0 of 10

    For the exponential EGB model, the extended slow-roll approximation with V2=6U0(1-δ1)Q gives the same scalar field as the exact equations, while the standard approximation deviates after N≈5.

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