Formalizing slow-roll inflation in scalar–tensor theories of gravitation

Kemal Akın*, A. Savaş Arapoǧlu, A. Emrah Yükselci

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


The viability of slow-roll approximation is examined by considering the structure of phase spaces in scalar–tensor theories of gravitation and the analysis is exemplified with a nonminimally coupled scalar field to the spacetime curvature. The slow-roll field equations are obtained in the Jordan frame in two ways: first using the direct generalization of the slow-roll conditions in the minimal coupling case to nonminimal one, and second, conformal transforming the slow-roll field equations in the Einstein frame to the Jordan frame and then applying the generalized slow-roll conditions. Two inflationary models governed by the potentials V(ϕ)∝ϕ2 and V(ϕ)∝ϕ4 are considered to compare the outcomes of two methods based on the analysis of ns and r values in the light of recent observational data.

Original languageEnglish
Article number100691
JournalPhysics of the Dark Universe
Publication statusPublished - Dec 2020

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© 2020 Elsevier B.V.


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