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相关论文: Beyond (and back to) Palatini quadratic gravity an…

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We study single field slow-roll inflation in the presence of $F(R)$ gravity in the Palatini formulation. In contrast to metric $F(R)$, when rewritten in terms of an auxiliary field and moved to the Einstein frame, Palatini $F(R)$ does not…

广义相对论与量子宇宙学 · 物理学 2022-07-12 Christian Dioguardi , Antonio Racioppi , Eemeli Tomberg

Single field inflationary models are investigated within Palatini quadratic gravity represented by $R+\alpha R^2$ along with a non-minimal coupling of the form $f(\phi) R$ between the inflaton field $\phi$ and the gravity. The treatment is…

宇宙学与河外天体物理 · 物理学 2023-03-15 Mahmoud AlHallak

Palatini $F(R)$ gravity proved to be a powerful tool in order to realize asymptotically flat inflaton potentials. Unfortunately, it also inevitably implies higher-order inflaton kinetic terms in the Einstein frame that might jeopardize the…

广义相对论与量子宇宙学 · 物理学 2024-05-14 Christian Dioguardi , Antonio Racioppi

Slow-roll inflation is analyzed in the context of modified gravity within the Palatini formalism. As shown in the literature, inflation in this framework requires the presence of non-traceless matter, otherwise it does not occur just as a…

广义相对论与量子宇宙学 · 物理学 2020-11-30 Sabit Bekov , Kairat Myrzakulov , Ratbay Myrzakulov , Diego Sáez-Chillón Gómez

In the context of Palatini gravity, $F(R+X)$ models, with X the inflaton kinetic term, are characterized by the appealing property of generating asymptotically flat inflaton potentials, exactly like the more commonly studied Palatini $F(R)$…

广义相对论与量子宇宙学 · 物理学 2025-12-22 N. Bostan , R. H. Dejrah , C. Dioguardi , A. Racioppi

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…

宇宙学与河外天体物理 · 物理学 2025-07-21 Elisa Fazzari , Chiara De Leo , Giovanni Montani , Matteo Martinelli , Alessandro Melchiorri , Guadalupe Cañas-Herrera

The previously introduced class of two-parametric phenomenological inflationary models in General Relativity in which the slow-roll assumption is replaced by the more general, constant-roll condition is generalized to the case of $f(R)$…

宇宙学与河外天体物理 · 物理学 2017-08-15 Hayato Motohashi , Alexei A. Starobinsky

We investigate inflation models in Jordan frame supergravity, in which an inflaton non-minimally couples to the scalar curvature. By imposing the condition that an inflaton would have the canonical kinetic term in the Jordan frame, we…

高能物理 - 理论 · 物理学 2018-01-30 Ken'ichi Saikawa , Masahide Yamaguchi , Yasuho Yamashita , Daisuke Yoshida

In this work, we study a constant-roll inflationary model in the Palatini formalism using modified gravity. Here our action consists a non-minimal coupling of a scalar field $\phi$ with Ricci scalar $R$ in a general form of $f(R,\phi)$.…

广义相对论与量子宇宙学 · 物理学 2023-04-19 Sukanta Panda , Arun Rana , Rahul Thakur

We consider models of a scalar field coupled to quadratic $R\!+\!R^2$ gravity in the framework of the Palatini formulation. The resulting Einstein-frame generalized $k$-inflation effective theory is analyzed assuming that the constant-roll…

广义相对论与量子宇宙学 · 物理学 2020-04-29 Ignatios Antoniadis , Angelos Lykkas , Kyriakos Tamvakis

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…

广义相对论与量子宇宙学 · 物理学 2018-04-04 Tommi Markkanen , Tommi Tenkanen , Ville Vaskonen , Hardi Veermäe

$F(R)$ Palatini gravity provides a robust framework for constructing viable inflationary potentials. In this study, we examine natural inflation and show that its consistency with observational data can be restored when the model is…

广义相对论与量子宇宙学 · 物理学 2026-03-16 N. Bostan , R. H. Dejrah , C. Dioguardi , A. Racioppi

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…

广义相对论与量子宇宙学 · 物理学 2022-10-28 Mindaugas Karčiauskas , José Jaime Terente Díaz

We study scalar field inflation in $F(R)$ gravity in the Palatini formulation of general relativity. Unlike in the metric formulation, in the Palatini formulation $F(R)$ gravity does not introduce new degrees of freedom. However, it changes…

广义相对论与量子宇宙学 · 物理学 2019-02-13 Vera-Maria Enckell , Kari Enqvist , Syksy Rasanen , Lumi-Pyry Wahlman

This thesis investigates a toy model for inflation in a class of modified theories of gravity in the metric formalism. Instead of the standard procedure -- assuming a non-linear Lagrangian $f(R)$ in the Jordan frame -- we start from a…

广义相对论与量子宇宙学 · 物理学 2020-11-06 C. D. Peralta

In the framework of classical scale invariance, we consider quadratic gravity in the Palatini formalism and investigate the inflationary predictions of the theory. Our model corresponds to a two-field scalar-tensor theory, that involves the…

宇宙学与河外天体物理 · 物理学 2021-07-28 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Vassilis C. Spanos

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.…

广义相对论与量子宇宙学 · 物理学 2020-07-22 Kemal Akın , A. Savaş Arapoğlu , A. Emrah Yükselci

We show that upon applying Palatini $f(R)$, characterized by an $\a R^2$-term, within a scenario motivated by a temporal variation of strong coupling constant, then one gets a quadratic kinetic energy. We do not drop this term, but rather…

宇宙学与河外天体物理 · 物理学 2022-02-15 M. AlHallak , A. AlRakik , N. Chamoun , M. S. El-Daher

In this paper, we explore the inflationary dynamics of the $\beta$-exponential potential model, where a scalar field couples to quadratic $(R + R^2)$ gravity. In this model, the inflaton is the field that determines the size of the extra…

广义相对论与量子宇宙学 · 物理学 2026-01-15 Ozan Sargın

We consider ${\cal{R}}^2$-inflation in Palatini gravity, in the presence of scalar fields coupled to gravity. These theories, in the Einstein frame, and for one scalar field $h$, share common features with $K$ - inflation models. We apply…

广义相对论与量子宇宙学 · 物理学 2023-01-11 A. B. Lahanas
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