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Inflationary α-attractors from F(R) Gravity

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arxiv 1612.01126 v1 pith:TYEIAGAF submitted 2016-12-04 gr-qc astro-ph.COhep-th

Inflationary α-attractors from F(R) Gravity

classification gr-qc astro-ph.COhep-th
keywords gravityattractorsalphacorrespondingattractorfoundframeinflationary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we study some classes of $\alpha$-attractors models in the Jordan frame and we find the corresponding $F(R)$ gravity theory. We study analytically the problem at leading order and we investigate whether the attractor picture persists in the $F(R)$ gravity equivalent theory. As we show, if the slow-roll conditions are assumed in the Jordan frame, the spectral index of primordial curvature perturbations and the scalar-to-tensor ratio are identical to the corresponding observational indices of the $R^2$ model, a result which indicates that the attractor property is also found in the corresponding $F(R)$ gravity theories of the $\alpha$-attractors models. Moreover, implicit and approximate forms of the $F(R)$ gravity inflationary attractors are found.

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Cited by 3 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. ACT-ing on inflation: Implications of non Bunch-Davies initial condition and reheating on single-field slow roll models

    astro-ph.CO 2025-05 unverdicted novelty 5.0

    Non-Bunch-Davies initial conditions substantially improve the fit of various single-field slow-roll inflation models to updated n_s-r constraints from ACT DR6 combined with Planck, DESI, and BICEP/Keck data.

  3. Constant-roll $\beta$-exponential inflation: Palatini formalism

    gr-qc 2026-01 reject novelty 4.0

    A parameter scan of constant-roll β-exponential inflation in Palatini R² gravity claims agreement with ACT/Planck contours, but the derivation is undermined by algebraic sign errors and an absent non-Gaussianity calculation.