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Abstract <p> <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(F(R)\)</EquationSource> <!--BPhysMGU2570239Ivanov-m3--> </InlineEquation> inflationary models are analyzed without the Weyl transformation to the Einstein frame. Sufficient conditions for existence of global inflationary attractors in <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(F(R)\)</EquationSource> <!--BPhysMGU2570239Ivanov-m4--> </InlineEquation> 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 <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(F(R)\)</EquationSource> <!--BPhysMGU2570239Ivanov-m5--> </InlineEquation> inflationary model (a one-parameter deformation of the Starobinsky model), which is shown to provide predictions in good agreement with the recent ACT data.</p>

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

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • V. R. Ivanov

摘要

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.