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- Title
Generalized Rp-attractor cosmology in the Jordan and Einstein frames: New type of attractors and revisiting standard Jordan frame Rp inflation.
- Authors
Odintsov, S. D.; Oikonomou, V. K.
- Abstract
In this work, we study a new class of attractor models which we shall call generalized R p -attractor models. This class of models is based on a generalization of the Einstein frame potential of R p f (R) gravity models in the Jordan frame. We present the attractor properties of the corresponding nonminimally coupled Jordan frame theory, and we calculate the observational indices of inflation in the Einstein frame. As we show, there is a large class of nonminimally coupled scalar theories, with an arbitrary nonminimal coupling which satisfies certain conditions, that yield the same Einstein frame potential, this is why these models are characterized attractors. As we demonstrate, the generalized R p -attractor models are viable and well fitted within the Planck constraints. This includes the subclass of the generalized R p -attractor models, namely the Einstein frame potential of R p inflation in the Jordan frame, a feature also known in the literature. We also highlight an important issue related to the R p inflation in the Jordan frame, which is known to be nonviable. By conformal invariance, the R p inflation model should also be viable in the Jordan frame, which is not. We pinpoint the source of the problem using two different approaches in the f (R) gravity Jordan frame, and as we demonstrate, the problem arises in the literature due to some standard simplifications made for the sake of analyticity. We demonstrate the correct way to analyze R p inflation in the Jordan frame, using solely the slow-roll conditions.
- Subjects
CONFORMAL invariants; PHYSICAL cosmology; ATTRACTORS (Mathematics); DIFFERENTIABLE dynamical systems
- Publication
International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 2023, Vol 32, Issue 1, p1
- ISSN
0218-2718
- Publication type
Article
- DOI
10.1142/S0218271822501358