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In this work we consider a generalization of Starobinsky inflation obtained by combining power law ($R^\beta$), and $\alpha$-Starobinsky inflation ($E$-model). The Einstein frame potential for this model is that of power law Starobinsky…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-25 Saisandri Saini , Akhilesh Nautiyal

We describe an induced inflation, which refers to a class of inflationary models with a generalized non-minimal coupling $\xi g(\phi) R$ and a specific scalar potential. The defining property of these models is that the scalar field takes a…

High Energy Physics - Theory · Physics 2015-06-22 Renata Kallosh , Andrei Linde , Diederik Roest

We study the generalized $\alpha$ attractor model in the context of the late time cosmic acceleration. The model interpolates between the scaling freezing and thawing dark energy models. In the slow roll region, the original potential is…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-06 M. Shahalam , Ratbay Myrzakulov , Shynaray Myrzakul , Anzhong Wang

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

A generic outcome of theories with scalar-tensor coupling is the existence of inflationary attractors, either power-law or de Sitter. The fluctuations arising during this phase are Gaussian and their spectrum depends on the wavenumber $k$…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Luca Amendola , Diego Bellisai , Franco Occhionero , Rome Astronomical Observatory

In this work we shall study a new class of attractor models which we shall call generalized $R^p$-attractor models. This class of models is based on a generalization of the Einstein frame potential of $R^p$ $f(R)$ gravity models in the…

General Relativity and Quantum Cosmology · Physics 2023-02-08 S. D. Odintsov , V. K. Oikonomou

In this paper, we analyze the conditions for convergence toward General Relativity of scalar-tensor gravity theories defined by an arbitrary coupling function $\alpha$ (in the Einstein frame). We show that, in general, the evolution of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. Serna , J. -M. Alimi , A. Navarro

Cosmological $\alpha$-attractors stand out as particularly compelling models to describe inflation in the very early universe, naturally meeting tight observational bounds from cosmic microwave background (CMB) experiments. We investigate…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-22 Laura Iacconi , Hooshyar Assadullahi , Matteo Fasiello , David Wands

Recently we identified a new class of (super)conformally invariant theories which allow inflation even if the scalar potential is very steep in terms of the original conformal variables. Observational predictions of a broad class of such…

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

Evidence from the BICEP2 experiment for a significant gravitational-wave background has focussed attention on inflaton potentials $V(\phi) \propto \phi^\alpha$ with $\alpha=2$ ("chaotic" or "$m^2\phi^2$" inflation) or with smaller values of…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-30 Liang Dai , Marc Kamionkowski , Junpu Wang

We show that if the $\alpha$-attractor model is realized by the spontaneous breaking of the scale symmetry, then the stability and the dynamics of the vector field that gauges the scale symmetry can severely constrain the $\alpha$-parameter…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-17 Ozgur Akarsu , Sibel Boran , Emre O. Kahya , Nese Ozdemir , Mehmet Ozkan

We study flat FLRW $\alpha$-attractor $\mathrm{E}$- and $\mathrm{T}$-models by introducing a dynamical systems framework that yields regularized unconstrained field equations on two-dimensional compact state spaces. This results in both…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Artur Alho , Claes Uggla

Single-field models of $\alpha$-attractor quintessential inflation provide a unified picture of the two periods of early- and late-time cosmic acceleration, where both inflation and dark energy are described by a single scalar degree of…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-05 Yashar Akrami , Santiago Casas , Senwen Deng , Valeri Vardanyan

It is investigated the reconstruction during the slow-roll inflation in the most general class of scalar-torsion theories whose Lagrangian density is an arbitrary function $f(T,\phi)$ of the torsion scalar $T$ of teleparallel gravity and…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Manuel Gonzalez-Espinoza , Ramón Herrera , Giovanni Otalora , Joel Saavedra

Recent observations of cosmic microwave background (CMB) anisotropies combined with large-scale structure may point towards higher values of the scalar spectral index, $n_s$. This puts previously preferred inflationary models, such as…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-19 Laura Iacconi , Sukannya Bhattacharya , Matteo Fasiello , David Wands

An exponential kind of quintessential inflation potential motivated by supergravity is studied. This type belongs to the class of {\alpha}-attractor models. The model was studied for the first time by Dimopoulos and Owen in [J. Cosmol.…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-01 Llibert Aresté Saló , David Benisty , Eduardo I. Guendelman , Jaume de Haro

We propose a class of inflation models with potential V(\phi)=\alpha \phi^n exp(-\beta^m \phi^m). We show that such kind of inflaton potentials can be realized in supergravity theory with a small shift symmetry breaking term in the K\"ahler…

High Energy Physics - Phenomenology · Physics 2015-06-18 Tianjun Li , Zhijin Li , Dimitri V. Nanopoulos

Inflation models can be examined by the cosmological observations, WMAP, Planck, BICEP2 and so on. These observations directly constrain the spectral index, $n_s$, and the tensor-to-scalar ratio, $r$. Besides, from a theoretical point of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Tomohiro Inagaki , Ryota Nakanishi , Sergei D. Odintsov

Quintessential inflation models provide a framework that simultaneously describes inflation and dynamical dark energy, the latter of which has recently received growing support from DESI observations. A distinctive feature of these models…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-04 Changcheng Jing , George Alestas , Sachiko Kuroyanagi

Motivated by $\alpha$-attractor models, in this paper we consider a Gauss-Bonnet inflation with E-model type of potential. We consider the Gauss-Bonnet coupling function to be the same as the E-model potential. In the small $\alpha$ limit…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-02 Kourosh Nozari , Narges Rashidi