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Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling

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arxiv 2104.04995 v2 pith:7IIISJWJ submitted 2021-04-11 gr-qc astro-ph.CO

Ekaterina O. Pozdeeva , Sergey Yu. Vernov This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords scalarcoupledfieldgauss-bonnetinflationaryricciscenariosterm
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abstract

Inflationary models with a scalar field nonminimally coupled both with the Ricci scalar and with the Gauss-Bonnet term are studied. We propose the way of generalization of inflationary scenarios with the Gauss-Bonnet term and a scalar field minimally coupled with the Ricci scalar to the corresponding scenarios with a scalar field nonminimally coupled with the Ricci scalar. Using the effective potential, we construct a set of models with the same values of the scalar spectral index $n_s$ and the amplitude of the scalar perturbations $A_s$ and different values of the tensor-to-scalar ratio $r$.

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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. 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. 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.

  3. 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.

  4. 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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