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

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 fra...

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Veröffentlicht in:PHYSICS OF THE DARK UNIVERSE 2020-12, Vol.30, p.100691, Article 100691
Hauptverfasser: Akın, Kemal, Arapoǧlu, A. Savaş, Yükselci, A. Emrah
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2212-6864
2212-6864
DOI:10.1016/j.dark.2020.100691