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Inflationary Slow-Roll Parameters in the Jordan Frame for Cosmological F(R) Gravity Models
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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
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(Lovelock)$^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation
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.
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Investigating $f(R)$-Inflation: background evolution and constraints
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.
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