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Recent Advances on Inflation

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arxiv 2307.16308 v1 pith:ETDOMJRL submitted 2023-07-30 gr-qc astro-ph.CO

S.D. Odintsov , V.K. Oikonomou , I. Giannakoudi , F.P. Fronimos , E.C. Lymperiadou This is my paper
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abstract

We review recent trends on inflationary dynamics in the context of viable modified gravity theories. After providing a general overview of the inflationary paradigm emphasizing on what problems of hot Big Bang theory inflation solves, and a somewhat introductory presentation of single field inflationary theories with minimal and non-minimal couplings, we review how inflation can be realized in terms of several string motivated models of inflation, which involve Gauss-Bonnet couplings of the scalar field, higher order derivatives of the scalar field, and some subclasses of viable Horndeski theories. We also present and analyze inflation in the context of Chern-Simons theories of gravity, including various subcases and generalizations of string corrected modified gravities which also contain Chern-Simons correction terms, with the scalar field being identified with the invisible axion, which is the most viable to date dark matter candidate. We also provide a detailed account of vacuum $f(R)$ gravity inflation, and also inflation in $f(R,\phi)$ and kinetic-corrected $f(R,\phi)$ theories of gravity. In the end of the review we discuss the technique for calculating the overall effect of modified gravity on the waveform of the standard general relativistic gravitational wave form.

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Cited by 11 Pith papers

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

  1. Analytic Gravitational Wave Spectrum in Next-to-Minimal Bouncing Cosmology

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    A five-phase bouncing cosmology yields a broken power-law gravitational wave spectrum whose amplitude bound automatically keeps the bounce energy below the Planck scale.

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    gr-qc 2026-07 reject novelty 5.0 of 10

    Gauss-Bonnet quasi-dilaton massive gravity is claimed to obey horizon thermodynamics and the holographic entropy bound, provided the Gauss-Bonnet coupling is non-negative.

  3. Corrections to inflationary models induced by non-minimal coupling between scalar field and curvature

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Power-law non-minimal coupling F=(H/λ)^{2n} deforms inflationary potentials, shifts r and n_S while preserving n_T=-r/8 and GR-like reheating, enabling r(1-n_S) classification of models against Planck/ACT data.

  4. 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.

  5. Cosmological Frequency Combs

    astro-ph.CO 2025-07 reject novelty 5.0 of 10

    The paper claims exponential quintessence with phantom matter can host phase-locked oscillations, called cosmological frequency combs, which modulate the Hubble parameter and can be tuned to resolve the H0 tension.

  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.

  7. 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.

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    gr-qc 2025-07 conditional novelty 4.0 of 10

    Using four vector f(R) gravity inflation models and nine equations of state, the TOV solver finds that the MPA1 equation of state yields neutron star maximum masses around 2.75 solar masses, inside the mass gap.

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

    A Jordan-frame f(R) model with particle creation during inflation is fitted to DESI and Pantheon+ data, yielding H0=71.04 and a claimed reduction of the Hubble tension to about 1.6-2.8 sigma.

  10. Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

    gr-qc 2025-07 reject novelty 4.0 of 10

    An exponentially deformed R^2 gravity model is claimed to produce total equation-of-state oscillations near z~3400 that enhance the primordial gravitational wave spectrum at LiteBIRD frequencies.

  11. Forecast Constraints on Bouncing Cosmology from High Frequency Gravitational Waves Using Superconducting LC Circuits and Resonant Cavities

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

    The paper forecasts that resonant-cavity and superconducting-circuit gravitational wave detectors could constrain the bounce energy scale of a generic bouncing cosmology far more tightly than astrophysical observatori...

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