Inflationary $\alpha -$attractors and $F(R)$ gravity

Abstract

We consider a generic class of the so-called inflationary $-\alpha$ attractor models and compute the cosmological observables in the Einstein and Jordan frames, of the corresponding $F(R)-$gravity theory. We find that the two sets coincide (to within errors from the use of the slow-roll approximation) for moderate and large values of the number of e-foldings $N$, which is the novel result of this paper, generalizing previous results on the subject (see e.g. Ref. (\citen{oik1})). We briefly comment on the possible generalizations of these results.

arXiv comment15 pages, 8 figures, LaTeX, Accepted for publication in IJMPA

References in corpus (37)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Standard Model Higgs boson as the inflaton
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Universality Class in Conformal Inflation
• Superconformal Inflationary $\alpha$-Attractors
• Minimal Supergravity Models of Inflation
• The Unity of Cosmological Attractors
• Primordial Spectral Indices from Generalized Einstein Theories
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Multi-field Conformal Cosmological Attractors
• Large Field Inflation and Double $\alpha$-Attractors
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Two Field Matter Bounce Cosmology
• Single-field $\alpha$-attractors
• Physical non-equivalence of the Jordan and Einstein frames
• Cosmological Attractors from $\alpha$-Scale Supergravity
• Inflationary spectra in generalized gravity: Unified forms
• F(R) gravity and inflation
• Cosmological Attractor Models and Higher Curvature Supergravity
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• An Extended Matter Bounce Scenario: current status and challenges
• The bounce universe history from unimodular $F(R)$ gravity
• Higher Order Corrections in Minimal Supergravity Models of Inflation
• Chaotic Inflation in Supergravity after Planck and BICEP2
• Conformal equivalence in classical gravity: the example of "veiled" General Relativity
• Big Bounce Genesis
• Inflation and dark energy from f(R) gravity
• Precision Predictions for the Primordial Power Spectra from f(R) Models of Inflation
• Mass inflation in f(R) gravity: A conjecture on the resolution of the mass inflation singularity
• Nonminimal coupling and inflationary attractors
• Generating scale-invariant tensor perturbations in the non-inflationary universe
• On the supersymmetrization of inflation in f(R) gravity
• Inflation without self-reproduction in $F(R)$ gravity
• Unification of the inflation with late-time acceleration in Born-Infeld-$f(R)$ gravity

Cited by in corpus (2)

• Attractor Cosmology from non-minimally Coupled Gravity
• Preventing Curvature Singularities in $f(R)$ Dark Energy Models