Inflationary $\alpha$-attractors from $F(R)$ Gravity

Abstract

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.

PRD accepted

References in corpus (17)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Standard Model Higgs boson as the inflaton
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• The Unity of Cosmological Attractors
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Cosmology with Nilpotent Superfields
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Large Field Inflation and Double $\alpha$-Attractors
• Planck, LHC, and $\alpha$-attractors
• Single-field $\alpha$-attractors
• Cosmological Attractor Models and Higher Curvature Supergravity
• Chaotic Inflation in Supergravity after Planck and BICEP2
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• Dark Energy from $\alpha$-Attractors
• Nonminimal coupling and inflationary attractors
• Generating scale-invariant tensor perturbations in the non-inflationary universe
• $\alpha$-Attractors: Planck, LHC and Dark Energy

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• Inflationary Attractors Predictions for Static Neutron Stars in the Mass-Gap Region
• Static Neutron Stars Perspective of Quadratic and Induced Inflationary Attractor Scalar-tensor Theories
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