2020
DOI: 10.1016/j.dark.2020.100691
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Formalizing slow-roll inflation in scalar–tensor theories of gravitation

Abstract: 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 fram… Show more

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Cited by 10 publications
(8 citation statements)
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“…Concerning models with nonminimal coupling to curvature, there has been a simmering debate on how to properly define the slow roll conditions in the Jordan frame. On the one hand there is a proposal of generalized slow roll [51][52][53][54][55][56][57], while at the same time many researchers prefer to work in the Einstein frame from where the formulae can be translated back to the Jordan frame [54,56,57]. As a byproduct of our investigations, we illuminate the issue.…”
Section: Introductionmentioning
confidence: 82%
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“…Concerning models with nonminimal coupling to curvature, there has been a simmering debate on how to properly define the slow roll conditions in the Jordan frame. On the one hand there is a proposal of generalized slow roll [51][52][53][54][55][56][57], while at the same time many researchers prefer to work in the Einstein frame from where the formulae can be translated back to the Jordan frame [54,56,57]. As a byproduct of our investigations, we illuminate the issue.…”
Section: Introductionmentioning
confidence: 82%
“…To generate the nearly scale invariant spectrum of perturbations, the inflationary expansion must be nearly de Sitter like, which implies a slowly varying regime for the scalar field. We may turn to the literature where one encounters the proposal of generalized slow roll conditions [51][52][53][54][55][56][57]. This approach assumes the usual conditions (i) ˙ 2…”
Section: Inflation In the Jordan Framementioning
confidence: 99%
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“…In the context of inflation it is known as the slow-roll approximation [13,45]. Concerning models with nonminimal coupling to curvature, there has been a simmering debate on how to properly define the slow roll conditions in the Jordan frame [46][47][48][49][50][51][52]. As a byproduct of our investigations, we resolve the issue.…”
Section: Introductionmentioning
confidence: 87%