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The most current observational data corroborate the Starobinsky model as one of the strongest candidates in the description of an inflationary regime. Motivated by such success, extensions of the Starobinsky model have been increasingly…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-14 G. Rodrigues-da-Silva , J. Bezerra-Sobrinho , L. G. Medeiros

We investigate the cosmological inflation in a class of supergravity models that are generalizations of non-supersymmetric $R^2$ models. Although such models have been extensively studied recently, especially after the launch of the PLANCK…

High Energy Physics - Theory · Physics 2015-06-23 G. A. Diamandis , B. C. Georgalas , K. Kaskavelis , P. Kouroumalou , A. B. Lahanas , G. Pavlopoulos

Supersymmetry is the most natural framework for physics above the TeV scale, and the corresponding framework for early-Universe cosmology, including inflation, is supergravity. No-scale supergravity emerges from generic string…

High Energy Physics - Phenomenology · Physics 2016-04-27 John Ellis , Marcos A. G. Garcia , Dimitri V. Nanopoulos , Keith A. Olive

The possibility to have singular accelerated evolution in the context of $F(R)$ bimetric gravity is investigated. Particularly, we study two singular models of cosmological evolution, one of which is a singular modified version of the…

General Relativity and Quantum Cosmology · Physics 2016-01-20 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

(Shortened abstract) While a featureless, nearly scale invariant, primordial scalar power spectrum fits the most recent CMB data rather well, certain features in the spectrum are known to lead to a better fit to the data (although, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Jerome Martin , L. Sriramkumar

We investigate the inflationary phenomenology of a marginally deformed Starobinsky model, motivated by quantum corrections to the $R^{2}$ term, in light of the latest cosmological observations. In this framework, the inflationary potential…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Jureeporn Yuennan , Farruh Atamurotov , Phongpichit Channuie

We study several extensions of the Starobinsky model of inflation, which obey all observational constraints on the inflationary parameters, by demanding that both the inflaton scalar potential in the Einstein frame and the $F(R)$ gravity…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Vsevolod R. Ivanov , Sergei V. Ketov , Ekaterina O. Pozdeeva , Sergey Yu. Vernov

We discuss the soundness of inflationary scenarios in theories beyond the Starobinsky model, namely a class of theories described by arbitrary functions of the Ricci scalar and the K-essence field. We discuss the pathologies associated with…

General Relativity and Quantum Cosmology · Physics 2016-06-09 Alvaro de la Cruz-Dombriz , Emilio Elizalde , Sergei D. Odintsov , Diego Saez-Gomez

Models of inflation are tightly constrained by the PLANCK satellite data. Among them, Starobinsky's model with an exponential type potential seems to be challenged by the recent BICEP2 results. The model is based on the existence of $\,~…

High Energy Physics - Theory · Physics 2015-01-28 A. B. Lahanas , K. Tamvakis

We single out the Starobinsky model and its extensions among generic $f(R)$ gravity as attractors at large field values for chaotic inflation. Treating a $R^3$ curvature term as a perturbation of the Starobinsky model, we impose the…

High Energy Physics - Phenomenology · Physics 2020-05-05 Dhong Yeon Cheong , Hyun Min Lee , Seong Chan Park

We review inflationary cosmology in modified gravity such as $R^2$ gravity with its extensions in order to generalize the Starobinsky inflation model. In particular, we explore inflation realized by three kinds of effects: modification of…

High Energy Physics - Theory · Physics 2015-03-11 Kazuharu Bamba , Sergei D. Odintsov

We consider the ghost-free higher order corrections to the Starobinsky model in the old minimal supergravity. In general, higher order corrections cannot be forbidden by symmetries, which likely violate the flatness of the scalaron…

High Energy Physics - Theory · Physics 2015-01-26 Kohei Kamada , Jun'ichi Yokoyama

We present constraints on the extended Starobinsky and Weyl gravity model of inflation using updated available observational data. The data includes cosmic microwave background (CMB) anisotropy measurements from Planck and BICEP/Keck 2018…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-22 Piyabut Burikham , Teeraparb Chantavat , Pongsapat Boonaom

We examine the power-law Starobinsky model, a generalized version of the Starobinsky inflation model, characterized by a power-law correction to Einstein gravity. Employing the $f(R)$ formalism, the scalar and tensor power spectra were…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-10 Saisandri Saini , Akhilesh Nautiyal

The $F(R)$ gravity models of inflation are revisited in light of the recent observations of cosmic microwave background radiation by Atacama Cosmology Telescope (ACT) and DESI Collaboration. A detailed study of the evolution equations in…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Sergei V. Ketov , Ekaterina O. Pozdeeva , Sergey Yu. Vernov

We study two homogeneous supersymmetric extensions for the $f(R)$ modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield $\mathcal{R}$ that contains the FLRW scalar curvature. One model…

General Relativity and Quantum Cosmology · Physics 2025-11-14 N. E. Martínez-Pérez , C. Ramírez , V. Vázquez-Báez

As is well known, the gravitational degrees of freedom contained in $R+\zeta R^{2}$ (super)gravity lead to Starobinsky's potential, in a one-field setting for inflationary Cosmology that appears favored by Planck data. In this letter we…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Andrea Addazi , Maxim Yu. Khlopov

The success of a given inflationary model crucially depends upon two features: its predictions for observables such as those of the Cosmic Microwave background (CMB) and its insensitivity to the unknown ultraviolet (UV) physics such as…

High Energy Physics - Phenomenology · Physics 2017-11-01 Mansi Dhuria , Gaurav Goswami , Jayanti Prasad

Starobinsky inflation is currently one of the best models concerning agreement with cosmological data. Despite this observational success, it is still lacking a robust embedding into a UV complete theory. Previous efforts to derive…

High Energy Physics - Theory · Physics 2024-01-18 Max Brinkmann , Michele Cicoli , Pietro Zito

We present a model of inflation based on the anomaly-induced effective action of gravity in the presence of a conformally invariant Hilbert-Einstein term. Our approach is based on the conformal representation of the fields action and on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ilya L. Shapiro , Joan Sola