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It has been previously shown that the linear inflation appears naturally as a solution of Coleman-Weinberg inflation, provided that the inflaton has a non-minimal coupling to gravity and the Planck scale is dynamically generated. We revisit…

宇宙学与河外天体物理 · 物理学 2018-01-09 Antonio Racioppi

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

We analyze non-minimally coupled scalar field theories in metric (second-order) and Palatini (first-order) formalisms in a comparative fashion. After contrasting them in a general setup, we specialize to inflation and find that the two…

高能物理 - 唯象学 · 物理学 2008-11-26 Florian Bauer , Durmus A. Demir

A new setup of cosmic inflation with a periodic inflaton potential and conformal factor is discussed in the metric and Palatini formulations of gravity. As a concrete example, we focus on a natural-inflation-like inflaton potential, and…

广义相对论与量子宇宙学 · 物理学 2019-03-21 Ryusuke Jinno , Kunio Kaneta , Kin-ya Oda , Seong Chan Park

We present an introduction to cosmic inflation in the framework of Palatini gravity, which provides an intriguing alternative to the conventional metric formulation of gravity. In the latter, only the metric specifies the spacetime…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Eemeli Tomberg

The Palatini formulation has been successful in the development of several alternative theories of gravity. It is well understood that the Palatini and metric formulations are equivalent in minimally coupled scalar-tensor models, but…

广义相对论与量子宇宙学 · 物理学 2025-03-11 Sotirios Karamitsos

Natural Inflation with non-minimal coupling (NMC) to gravity, embodied by a Lagrangian term $\xi \phi^2 R $, is investigated in the context of an extended gravity of the form $R+ \alpha R^2$. The treatment is performed in the Palatini…

宇宙学与河外天体物理 · 物理学 2022-10-12 M. AlHallak , N. Chamoun , M. S. Eldaher

Although natural inflation is a theoretically well-motivated model for cosmic inflation, it is in tension with recent Planck cosmic microwave background anisotropy measurements. We present a way to alleviate this tension by considering a…

宇宙学与河外天体物理 · 物理学 2021-03-25 Yakefu Reyimuaji , Xinyi Zhang

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

We apply the multiple point criticality principle to inflationary model building and study Coleman-Weinberg inflation when the scalar potential is quadratic in the logarithmic correction. We analyze also the impact of a non-minimal coupling…

宇宙学与河外天体物理 · 物理学 2022-06-28 Antonio Racioppi , Jürgen Rajasalu , Kaspar Selke

In this paper by deriving the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity, first we discuss the problem of whether in Palatini formulation an additional $R^2$ term in Einstein's General Relativity action can…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Xin He Meng , Peng Wang

We show that the coexistence of a non-minimal coupling to gravity $f_{\mathcal{R}}=1+c{\mathcal{R}} \phi^{n/2}$ with a kinetic mixing of the form $f_K = f_{\mathcal{R}}^m$ -- where $n=2$ and 4 and $0.5 \le m \le 10$ -- reconciles chaotic…

高能物理 - 唯象学 · 物理学 2025-08-15 C. Pallis

We study a model of quintessential inflation constructed in $R^2$ modified gravity with a non-minimally coupled scalar field, in the Palatini formalism. Our non-minimal inflaton field is characterised by a simple exponential potential. We…

广义相对论与量子宇宙学 · 物理学 2022-04-21 Konstantinos Dimopoulos , Alexandros Karam , Samuel Sánchez López , Eemeli Tomberg

We investigate in detail a family of quintessential inflation models in the context of $R+R^2$ Palatini modified gravity. We find that successful inflation and quintessence are obtained with an inflaton scalar potential that is…

广义相对论与量子宇宙学 · 物理学 2021-02-26 Konstantinos Dimopoulos , Samuel Sánchez López

We apply the "systematic" $1^{st}$ order cosmological perturbation theory method to re-derive the formulation of an inflationary model generated by variation of constants, then to study the case where it is non-minimally coupled to gravity…

宇宙学与河外天体物理 · 物理学 2021-10-22 M. AlHallak , A. AlRakik , S. Bitar , N. Chamoun , M. S. Eldaher

We study models of inflation where the scalar field $\phi$ that drives inflation is coupled non-minimally to gravity via $\xi \phi^2 R$, or where the gravity sector is enlarged by an $R^2$ term. We consider the original Higgs inflation,…

宇宙学与河外天体物理 · 物理学 2019-05-01 Tomo Takahashi , Tommi Tenkanen

With a scalar field non-minimally coupled to curvature, the underlying geometry and variational principle of gravity - metric or Palatini - becomes important and makes a difference, as the field dynamics and observational predictions…

广义相对论与量子宇宙学 · 物理学 2020-08-26 Laur Järv , Alexandros Karam , Aleksander Kozak , Angelos Lykkas , Antonio Racioppi , Margus Saal

$F(R)$ 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

This thesis presents research exploring aspects of inflation and cosmology in the context of inflation models in which an inflaton is non-minimally coupled to the Ricci scalar, or is considered in conjunction with a term quadratic in the…

高能物理 - 唯象学 · 物理学 2022-12-14 Kit Lloyd-Stubbs

We study Quadratic Inflation with the inflaton field $\phi$ coupled non-minimally to the curvature scalar $R$, so that the potential during inflation is of the form $V\propto m^2\phi^2+\xi R\phi^2$. We show that with a suitable choice of…

宇宙学与河外天体物理 · 物理学 2017-12-13 Tommi Tenkanen
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