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Inflationary Slow-Roll Parameters in the Jordan Frame for Cosmological F(R) Gravity Models

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arxiv 2508.14250 v2 pith:GZLCWPBR submitted 2025-08-19 gr-qc astro-ph.CO

Inflationary Slow-Roll Parameters in the Jordan Frame for Cosmological F(R) Gravity Models

classification gr-qc astro-ph.CO
keywords inflationaryframemodelsjordanmodelprocedureagreementanalyze
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abstract

$F(R)$ inflationary models are analyzed without the Weyl transformation to the Einstein frame. Sufficient conditions for existence of global inflationary attractors in $F(R)$ models are provided. Following that, the procedure for calculating inflationary observables completely in the original, Jordan, frame is given. The described procedure is used to analyze a new $F(R)$ inflationary model (a one-parameter deformation of the Starobinsky model), which is shown to provide predictions in good agreement with the recent ACT data.

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Cited by 2 Pith papers

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

  1. Primordial black holes formation in inflationary $F(R)$ models with scalar fields

    gr-qc 2025-09 unverdicted novelty 5.0

    Authors add induced gravity and a polynomial potential to an F(R) model, transform to a two-field chiral cosmology, and find parameter choices that match ACT inflation data while yielding PBH masses compatible with da...

  2. (Lovelock)$^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation

    gr-qc 2025-12 conditional novelty 4.0

    A quadratic f(L) gravity with a negative Gauss-Bonnet coupling shifts Starobinsky inflation's (n_s, r) predictions toward the ACT-preferred higher n_s, at the cost of a larger tensor-to-scalar ratio.