Generic slow-roll and non-gaussianity parameters in f(R) theories

• Verfasst von: Miranda, Tays [VerfasserIn]
• Verfasst von: Escamilla-Rivera, Celia [VerfasserIn]
• Verfasst von: Piattella, Oliver F. [VerfasserIn]
• Verfasst von: Fabris, Júlio C. [VerfasserIn]
• Titel: Generic slow-roll and non-gaussianity parameters in f(R) theories
• Verf.angabe: Tays Miranda, Celia Escamilla-Rivera, Oliver F. Piattella and Júlio C. Fabris
• E-Jahr: 2019
• Jahr: 1 May 2019
• Umfang: ? S.
• Fussnoten: Gesehen am 17.04.2020
• Titel Quelle: Enthalten in: Journal of cosmology and astroparticle physics
• Ort Quelle: London : IOP, 2003
• Jahr Quelle: 2019
• Band/Heft Quelle: (2019,5) Artikel-Nummer 28, ? Seiten
• ISSN Quelle: 1475-7516
• DOI: doi:10.1088/1475-7516/2019/05/028
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1694886700

Abstract

In this paper we establish formulae for the inflationary slow-roll parameters ϵ, η and ζ as functions of the Ricci scalar R for f(R) theories of gravity. As examples, we present the analytic and numerical solutions of ϵ, η and ζ as functions of the number of e-folds N in two important instances: for the Starobinsky model and for a f(R) reconstruction of the α-Attractors. The highlight of our proposal is to rewrite the slow-roll parameters in terms of f(R), which allows to find directly ns, r, αs and fequilNL as functions of R itself. We obtain that both models indicate a small contribution to the non-Gaussianity parameters, which are in good agreement with current observational constraints.