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Related papers: Attractor Behaviour in Multifield Inflation

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We perform an analysis of models of chaotic inflation where the inflaton field $\phi$ is coupled non-minimally to gravity via $\xi \phi^n g^{\mu\nu}R_{\mu\nu}(\Gamma), n>0$. We focus on the Palatini theory of gravity, i.e. the case where…

General Relativity and Quantum Cosmology · Physics 2018-04-20 Laur Järv , Antonio Racioppi , Tommi Tenkanen

We study inflation with the most general non-degenerate gravitational action that depends on the symmetric part of the Ricci tensor coupled to a scalar field in the Palatini formulation of gravity. We use field redefinitions to shift the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-24 Jaakko Annala , Syksy Rasanen

We consider inflation in the system containing a Ricci scalar squared term and a canonical scalar field with quadratic mass term. In the Einstein frame this model takes the form of a two-field inflation model with a curved field space, and…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-01 Taro Mori , Kazunori Kohri , Jonathan White

In the general framework of Metric-Affine theories of gravity, where the metric and the connection are independent variables, we consider actions quadratic in the Ricci scalar curvature and the Holst invariant (the contraction of the…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Ioannis D. Gialamas , Kyriakos Tamvakis

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,…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-01 Tomo Takahashi , Tommi Tenkanen

Within the framework of hybrid metric-Palatini gravity, we incorporate non-localities introduced via the inverse of the d'Alembert operators acting on the scalar curvature. We analyse the dynamical structure of the theory and, adopting a…

High Energy Physics - Theory · Physics 2025-05-16 Flavio Bombacigno , Mariaveronica De Angelis , Carsten van de Bruck , William Giarè

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-15 Mahmoud AlHallak

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…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Vera-Maria Enckell , Kari Enqvist , Syksy Rasanen , Lumi-Pyry Wahlman

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…

General Relativity and Quantum Cosmology · Physics 2022-07-12 Christian Dioguardi , Antonio Racioppi , Eemeli Tomberg

Attractor inflation is a particularly robust framework for developing inflationary models that are insensitive to the details of the potential. Such models are most often considered in the metric formulation of gravity. However, non-minimal…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Alexandros Karam , Sotirios Karamitsos , Margus Saal

We explore the dynamics of multi-field models of inflation in which the field-space metric is a hyperbolic manifold of constant curvature. Such models are known as $\alpha$-attractors and their single-field regimes have been extensively…

High Energy Physics - Theory · Physics 2021-12-14 Perseas Christodoulidis , Diederik Roest , Evangelos I. Sfakianakis

We classify the metric-affine theories of gravitation, in which the metric and the connections are treated as independent variables, by use of several constraints on the connections. Assuming the Einstein-Hilbert action, we find that the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Keigo Shimada , Katsuki Aoki , Kei-ichi Maeda

In this paper, we employ the Palatini formalism to investigate the dynamics of large-field inflation using a renormalizable polynomial inflaton potential in the context of $f(R,\phi)$ gravity. Assuming instant reheating, we make a…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-20 Nilay Bostan , Canan Karahan , Ozan Sargın

Multi-field inflation can be inherently non-predictive, with the exception of models with strong attractors. In this work, we focus on models with multiple scalar fields that are non-minimally coupled to the space-time Ricci curvature…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-18 Perseas Christodoulidis , Robert Rosati , Evangelos I. Sfakianakis

In this paper, we investigate models where a scalar field driving inflation is minimally coupled with gravity and it is subjected to a scalar potential. We present several examples of coupling between the field and gravity, and we furnish…

General Relativity and Quantum Cosmology · Physics 2016-03-01 Shynaray Myrzakul , Ratbay Myrzakulov , Lorenzo Sebastiani

We present a new class of two-field inflationary attractor models, known as `shift-symmetric orbital inflation', whose behaviour is strongly multi-field but whose predictions are remarkably close to those of single-field inflation. In these…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Ana Achúcarro , Edmund J. Copeland , Oksana Iarygina , Gonzalo A. Palma , Dong-Gang Wang , Yvette Welling

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…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Ignatios Antoniadis , Angelos Lykkas , Kyriakos Tamvakis

We consider scalar field inflation in the Palatini formulation of general relativity. The covariant derivative of the metric is then non-zero. From the effective theory point of view it should couple to other fields. We write down the most…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Syksy Rasanen

We study models where a scalar field has derivative and non-derivative couplings to the Ricci tensor and the co-Ricci tensor with a view to inflation. We consider both the metric formulation and the Palatini formulation. In the Palatini…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Hamed Bouzari Nezhad , Syksy Rasanen

Recently, several broad classes of inflationary models have been discovered whose cosmological predictions are stable with respect to significant modifications of the inflaton potential. Some classes of models are based on a non-minimal…

High Energy Physics - Theory · Physics 2015-04-16 Mario Galante , Renata Kallosh , Andrei Linde , Diederik Roest
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