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We present two scale invariant models of inflation in which the addition of quadratic in curvature terms in the usual Einstein-Hilbert action, in the context of Palatini formulation of gravity, manages to reduce the value of the…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Antonio Racioppi , Vassilis C. Spanos

A model of chaotic inflation based on the theory of a scalar field with potential \lambda\phi^4 perfectly matches the observational data if one adds to it a tiny non-minimal coupling to gravity -\xi/2 \phi^2 R with \xi > 0.002. We describe…

High Energy Physics - Theory · Physics 2015-06-16 Renata Kallosh , Andrei Linde

The Starobinsky model, considered in the framework of the Palatini formalism, in contrast to the metric formulation, does not provide us with a model for inflation, due to the absence of a propagating scalar degree of freedom that can play…

General Relativity and Quantum Cosmology · Physics 2018-11-28 I. Antoniadis , A. Karam , A. Lykkas , K. Tamvakis

We consider the Gauss-Bonnet term coupled to the inflaton in the Palatini formulation of gravity. Unlike in the metric formulation, the Gauss-Bonnet term is not always a total derivative. We solve for the connection and insert it into the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Ali Hassan , Syksy Rasanen

We introduce a new class of models of chaotic inflation inspired by the superconformal approach to supergravity. This class of models allows a functional freedom of choice of the inflaton potential V = |f(\phi)|^2. The simplest model of…

High Energy Physics - Theory · Physics 2010-11-22 Renata Kallosh , Andrei Linde

In this paper, we investigate chaotic inflation from scalar field subjected to potential in the framework of $f(R^2, P, Q)$-gravity, where we add a correction to Einstein's gravity based on a function of the square of the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Shynaray Myrzakul , Ratbay Myrzakulov , Lorenzo Sebastiani

We investigate inflation within $f(R,\phi)$-theories, where a dynamical scalar field is coupled to gravity. A class of models which can support early-time acceleration with the emerging of an effective cosmological constant at high…

General Relativity and Quantum Cosmology · Physics 2018-12-13 R. Myrzakulov , L. Sebastiani , S. Vagnozzi

For axions present during inflation, it has been shown that a non-minimal coupling $\xi_\sigma$ of the inflaton to gravity worsens isocurvature bounds, while a non-minimal coupling $\xi_\rho$ of the radial Peccei-Quinn field can alleviate…

High Energy Physics - Phenomenology · Physics 2025-12-19 Claire Rigouzzo , Sebastian Zell

In the light of the new observational results we discuss the status of the exponential potentials driving inflation. We depart form the minimal scenario and study an inflaton kinetically coupled to the Einstein tensor. We find that in this…

High Energy Physics - Theory · Physics 2014-11-05 Iannis Dalianis , Fotis Farakos

In this work, we show the effect of the non-minimal coupling $\xi \phi^2 R$ on the inflationary parameters by considering the single-field inflation and present the inflationary predictions of the appealing potential for the particle…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-03 Nilay Bostan

A class of inflationary models with the nonminimal coupling term `K(phi)R' is considered. We show that the successful inflation can take place if the ratio between the square of the nonminimal coupling term and the potential for the scalar…

High Energy Physics - Phenomenology · Physics 2009-02-02 Seong Chan Park

We explore in the supergravity context the possibility that a Higgs scalar may drive inflation via a non-minimal coupling to gravity characterised by a large dimensionless coupling constant. We find that this scenario is not compatible with…

High Energy Physics - Phenomenology · Physics 2014-11-20 Martin B Einhorn , D R Timothy Jones

A period of rapidly accelerating expansion is expected in the early Universe implemented by a scalar field slowly rolling down along an asymptotically flat potential preferred by the current data. In this paper, we point out that this…

General Relativity and Quantum Cosmology · Physics 2022-09-01 Rong-Gen Cai , Yu-Shi Hao , Shao-Jiang Wang

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

Nonminimal coupling between the inflaton and the Ricci scalar plays a crucial role in shaping the predictions of single-field inflationary models. While a quartic potential with such coupling represents one of the simplest realizations…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-24 Waqas Ahmed , Mansoor Ur Rehman

Once quantum corrections are taken into account, the strong coupling limit of the $\xi$-attractor models (in metric gravity) might depart from the usual Starobinsky solution and move into linear inflation. Furthermore, it is well known that…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-18 Antonio Racioppi

Recently, a new type of constant Fayet-Iliopoulos (FI) terms was introduced in $\mathcal{N}=1$ supergravity, which do not require the gauging of the $R$-symmetry. We revisit and generalise these constructions, building a new class of…

High Energy Physics - Theory · Physics 2020-05-20 Ignatios Antoniadis , François Rondeau

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 Florian Bauer , Durmus A. Demir

In the framework of mixed Higgs-Starobinsky inflation, we consider the generation of Abelian gauge fields due to their nonminimal coupling to gravity (in two different formulations of gravity -- metric and Palatini). We couple the…

General Relativity and Quantum Cosmology · Physics 2022-12-29 R. Durrer , O. Sobol , S. Vilchinskii

We study extended theories of gravity where nonminimal derivative couplings of the form $R^{kl}\phi_{, k}\phi_{, l}$ are present in the Lagrangian. We show how and why the other couplings of similar structure may be ruled out and then…

General Relativity and Quantum Cosmology · Physics 2017-10-04 S. Capozziello , G. Lambiase , H. -J. Schmidt