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

TL;DR

This paper analyzes inflationary $ ext{-}oldsymbol{ extalpha}$ attractor models within $F(R)$ gravity, showing that cosmological observables in Einstein and Jordan frames align for large e-foldings, extending previous findings.

Contribution

It demonstrates the equivalence of cosmological observables in Einstein and Jordan frames for a broad class of $ ext{-}oldsymbol{ extalpha}$ attractor models at large e-foldings, generalizing prior results.

Findings

Einstein and Jordan frame observables coincide for large N

The result holds for a generic class of $ ext{-}oldsymbol{ extalpha}$ attractor models

The study extends previous work on frame equivalence in $F(R)$ 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.