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We present an extended study of inflationary models that inflaton field is non-minimally coupled with gravity. We study parameters space of the models up to the second (and in some cases third) order of the slow-roll parameters for usual…

General Relativity and Quantum Cosmology · Physics 2017-10-16 M. Shokri

Physical equivalence between different conformal frames in scalar-tensor theory of gravity is a known fact. However, assuming that matter minimally couples to the metric of a particular frame, which we call the matter Jordan frame, the…

General Relativity and Quantum Cosmology · Physics 2015-10-16 Guillem Domènech , Misao Sasaki

We investigate how inflationary predictions are affected by the difference in the number of $e$-folds between the Jordan and Einstein frames. We study several test models in relation to a Jordan frame defined by the common…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Antonio Racioppi , Martin Vasar

We here explore a specific class of scalar field, dubbed quasi-quintessence which exhibits characteristics akin to ordinary matter. Specifically, we investigate under which conditions this fluid can mitigate the classical cosmological…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Orlando Luongo , Tommaso Mengoni

In this work, we investigate the possibility of generating an inflationary mechanism within the framework of a metric-$f(R)$ modified gravity theory, formulated in the Jordan frame. We explore whether the scalar field, non-minimally coupled…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-21 Elisa Fazzari , Chiara De Leo , Giovanni Montani , Matteo Martinelli , Alessandro Melchiorri , Guadalupe Cañas-Herrera

There has been considerable interest in the community to understand if the Einstein and Jordan frames are either physically equivalent to each other or if there exists a preference frame where interpretations of physical observables should…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Joel Velásquez , Héctor J. Hortua , Leonardo Castañeda

The equivalence of the Jordan and Einstein frames has been a subject of considerable interest in the field. In this paper, within the context of $f(R)$ gravity, we explore the inflationary magnetogenesis model, focusing on the magnetic…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-28 Hang Wang , Shuang Liu , Yu Li , Yao-chuan Wang

We investigate the entanglement due to geometric corrections in particle creation during inflation. To do so, we propose a single-field inflationary scenario, nonminimally coupled to the scalar curvature of spacetime. We require particle…

General Relativity and Quantum Cosmology · Physics 2023-06-05 Alessio Belfiglio , Orlando Luongo , Stefano Mancini

Inflation models based on scalar-tensor theories of gravity are formulated in the Jordan frame but most often analysed in the Einstein frame. The transformation between the frames is not always desirable. In this work we formulate slow-roll…

General Relativity and Quantum Cosmology · Physics 2022-10-28 Mindaugas Karčiauskas , José Jaime Terente Díaz

We study inflation induced by (power-low) scalar curvature corrections to General Relativity. The class of inflationary scalar potentials $V(\sigma)\sim\exp[n\,\sigma]$, $n$ general parameter, is investigated in the Einsein frame and the…

General Relativity and Quantum Cosmology · Physics 2014-09-22 L. Sebastiani , G. Cognola , R. Myrzakulov , S. D. Odintsov , S. Zerbini

We study models of quartic inflation where the inflaton field $\phi$ is coupled non-minimally to gravity, $\xi \phi^2 R$, and perform a study of quantum corrections in curved space-time at one-loop level. We specifically focus on comparing…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Tommi Markkanen , Tommi Tenkanen , Ville Vaskonen , Hardi Veermäe

We study cosmological perturbations generated from quantum fluctuations in multi-field inflationary scenarios in generalized Einstein theories, taking both adiabatic and isocurvature modes into account. In the slow-roll approximation,…

Astrophysics · Physics 2009-11-07 Alexei A. Starobinsky , Shinji Tsujikawa , Jun'ichi Yokoyama

We study the possibility that particle production during inflation could source observable gravity waves on scales relevant for Cosmic Microwave Background experiments. A crucial constraint on such scenarios arises because particle…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Neil Barnaby , Jordan Moxon , Ryo Namba , Marco Peloso , Gary Shiu , Peng Zhou

In this work we shall 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…

General Relativity and Quantum Cosmology · Physics 2023-02-08 S. D. Odintsov , V. K. Oikonomou

We consider a generic class of the so-called inflationary $-\alpha$ attractor models and compute the cosmological observables in the Einstein and Jordan frames, of the corresponding $F(R)-$gravity theory. We find that the two sets coincide…

High Energy Physics - Theory · Physics 2017-09-06 A. Kuiroukidis

Inflation based on scalar fields which are non-minimally coupled to gravity has been proposed as a way to unify inflation with weak-scale physics, with the inflaton being identified with the Higgs boson or other weak-scale scalar article.…

High Energy Physics - Phenomenology · Physics 2010-04-30 Rose N. Lerner , John McDonald

We study cosmological perturbations in generalized Einstein scenarios and show the equivalence of inflationary observables both in the Jordan frame and the Einstein frame. In particular the consistency relation relating the tensor-to-scalar…

Astrophysics · Physics 2010-11-23 Shinji Tsujikawa , Burin Gumjudpai

In this paper, we study the case of single field inflation within the framework of modified gravity theory where the gravity part has an arbitrary form $f(R)$. Via a conformal transformation, this case can be transformed into its Einstein…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-14 Taotao Qiu , Jun-Qing Xia

This paper provides a systematic study of supergravity contributions relevant for inflationary model building in Jordan frame supergravity. In this framework, canonical kinetic terms in the Jordan frame result in the separation of the…

High Energy Physics - Phenomenology · Physics 2017-04-13 Kumar Das , Valerie Domcke , Koushik Dutta

We study slow-roll inflation as a common feature in Metric-affine Theories of Gravity. In particular, we take into account extended metric, teleparallel and symmetric-teleparallel theories of gravity, based on different geometric…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Salvatore Capozziello , Mehdi Shokri
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