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We present the impact of non-minimal coupling $\xi \phi^2 R$ on the inflationary parameters by taking into account the models of single-field inflation with the inflaton that has a non-zero vacuum expectation value ($v$) after the period of…

广义相对论与量子宇宙学 · 物理学 2021-04-21 Nilay Bostan

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

In the present work we study GUT Coleman-Weinberg inflation with a nonminimal coupling to gravity. In this kind of model one usually finds that either the nonminimal coupling is large or the inflaton self-coupling in unnaturally small. We…

高能物理 - 唯象学 · 物理学 2014-03-05 Grigoris Panotopoulos

In scale-invariant models of fundamental physics, mass scales are generated by spontaneous symmetry breaking. In this work, we study inflation in scale-invariant $R^2$ gravity, in which the Planck mass is generated by a scalar field, which…

广义相对论与量子宇宙学 · 物理学 2021-06-09 Carsten van de Bruck , Richard Daniel

A modified model of gravity with additional positive and negative powers of the scalar curvature, $R$, in the gravitational action is studied. This is done using the Palatini variational principle. It is demonstrated that using such a model…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Thomas P. Sotiriou

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 investigate the corrections to the inflationary cosmological dynamics due to a $R^2$ term in the Palatini formulation which may arise as quantum corrections to the effective Lagrangian in early universe. We found that the standard…

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

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 extend the Coleman--Weinberg inflationary model where a scalar field $\phi$ is non-minimally coupled to gravity with the addition of the $R^2$ term. We express the theory in terms of two scalar fields and going to the Einstein frame we…

广义相对论与量子宇宙学 · 物理学 2019-02-26 Alexandros Karam , Thomas Pappas , Kyriakos Tamvakis

We study quadratic gravity $R^2+R_{[\mu\nu]}^2$ in the Palatini formalism where the connection and the metric are independent. This action has a {\it gauged} scale symmetry (also known as Weyl gauge symmetry) of Weyl gauge field $v_\mu=…

高能物理 - 理论 · 物理学 2020-12-30 D. M. Ghilencea

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

A new model for inflation using modified gravity in the Palatini formalism is constructed. Here non-minimal coupling of scalar field h with the curvature R as a general function f(R,h) is considered. Explicit inflation models for some…

广义相对论与量子宇宙学 · 物理学 2021-05-19 Nayan Das , Sukanta Panda

We study single-field inflation in which the inflaton is identified with the lightest scalar (dilaton) excitation of a confining gauge theory. The inflaton potential is not postulated: it follows from the pure effective Gluodynamics…

高能物理 - 唯象学 · 物理学 2026-03-03 Pirzada , Imtiaz Khan , Mussawair Khan , Tianjun Li , Ali Muhammad

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

In the quest for unification of the Standard Model with gravity, classical scale invariance can be utilized to dynamically generate the Planck mass $M_\mathrm{Pl}$. Then, the relation of Planck scale physics to the scale of electroweak…

高能物理 - 唯象学 · 物理学 2022-09-14 Jisuke Kubo , Jeffrey Kuntz , Manfred Lindner , Jonas Rezacek , Philipp Saake , Andreas Trautner

We explore the paradigm according to which inflation is driven by a four-dimensional strongly coupled dynamics coupled non-minimally to gravity. We start by introducing the general setup, both in the metric and Palatini formulation, for…

高能物理 - 唯象学 · 物理学 2013-05-30 Fedor Bezrukov , Phongpichit Channuie , Jakob Jark Joergensen , Francesco Sannino

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

$F(R)$ 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

Our primary objective is the formulation of a plausible cosmological inflationary model entirely in terms of a pure modified gravity without any a priori matter couplings within the formalism of non-Riemannian spacetime volume elements. The…

广义相对论与量子宇宙学 · 物理学 2019-12-24 David Benisty , Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

When considered in the Palatini formalism, the Starobinsky model does not provide us with a mechanism for inflation due to the absence of a propagating scalar degree of freedom. By (non)--minimally coupling scalar fields to the Starobinsky…

广义相对论与量子宇宙学 · 物理学 2019-03-20 I. Antoniadis , A. Karam , A. Lykkas , T. Pappas , K. Tamvakis