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In this paper, we would like to examine whether stable de Sitter inflationary solutions appear within power-law extensions of the Starobinsky model. In particular, we will address general constraints for the existence along with the…

General Relativity and Quantum Cosmology · Physics 2024-08-01 Tuyen M. Pham , Duy H. Nguyen , Tuan Q. Do , W. F. Kao

Data on the cosmic microwave background (CMB) are discriminating between different models of inflation, disfavoring simple monomial potentials whilst being consistent with models whose predictions resemble those of the Starobinsky $R + R^2$…

High Energy Physics - Phenomenology · Physics 2025-04-21 Ignatios Antoniadis , John Ellis , Wenqi Ke , Dimitri V. Nanopoulos , Keith A. Olive

We review the status of the Starobinsky-like models for inflation beyond minimal gravity and discuss the unitarity problem due to the presence of a large non-minimal gravity coupling. We show that the induced gravity models allow for a…

High Energy Physics - Phenomenology · Physics 2018-01-24 Hyun Min Lee

A problematic feature of low energy scale inflationary models, such as Starobinsky inflation, in a spatially closed universe is the occurrence of a recollapse and a big crunch singularity before inflation can even set in. In a recent work…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Meysam Motaharfar , Parampreet Singh

We investigate the impact of curvature corrections to Starobinsky inflation in light of the latest observational results from the Atacama Cosmology Telescope (ACT). While the pure Starobinsky model remains a compelling candidate for cosmic…

General Relativity and Quantum Cosmology · Physics 2025-09-18 Andrea Addazi , Yermek Aldabergenov , Sergei V. Ketov

The Starobinsky model is a natural inflationary scenario in which inflation arises due to quantum effects of the massless matter fields. A modified version of the Starobinsky (MSt) model takes the masses of matter fields and the…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-27 Ana Pelinson

We propose a self-consistent scenario of new inflation in supergravity. Chaotic inflation first takes place around the Planck scale, which solves the longevity problem, namely, why the universe can live much beyond the Planck time, and also…

High Energy Physics - Phenomenology · Physics 2009-10-31 Masahide Yamaguchi , Jun'ichi Yokoyama

During inflation explicit perturbative computations of quantum field theories which contain massless, non-conformal fields exhibit secular effects that grow as powers of the logarithm of the inflationary scale factor. Starobinskii's…

General Relativity and Quantum Cosmology · Physics 2009-11-11 N. C. Tsamis , R. P. Woodard

General relativity allows for inhomogeneous and anisotropic universes with finite action. By contrast, in quadratic gravity such solutions obtain infinite action and are thus eliminated. What remains are homogeneous and isotropic solutions…

High Energy Physics - Theory · Physics 2023-12-22 Jean-Luc Lehners , K. S. Stelle

The Starobinsky model of cosmological inflation in four spacetime dimensions is reviewed with the emphasis on impact of quantum gravity corrections. As a specific example of the quantum corrections, the Grisaru-Zanon quartic curvature terms…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Shunsuke Toyama , Sergei V. Ketov

We propose an enhanced hyperbolic square-root (HSQRT) deformation of the Starobinsky model in the context of $f(R)$ gravity. The original HSQRT construction provided a globally regular modification of $R^2$ inflation, curing the…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Andrei Galiautdinov

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

We review the realization of Starobinsky-type inflation within induced-gravity Supersymmetric (SUSY) and non-SUSY models. In both cases, inflation is in agreement with the current data and can be attained for subplanckian values of the…

High Energy Physics - Phenomenology · Physics 2017-06-20 C. Pallis , N. Toumbas

The epochs of reheating and preheating are studied in a simple extension of the Starobinsky inflationary model, which consists of an $R^2$--correction to the Einstein--Hilbert action and an additional scalar field. We find that if the…

General Relativity and Quantum Cosmology · Physics 2017-11-22 C. van de Bruck , P. Dunsby , L. E. Paduraru

To explain the accelerated expansion of late universe, the 1/R correction to Einstein gravity is usually considered, where R is the Ricci scalar. This correction term is generally believed to be negligible in the early universe. However, if…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Shi Pi , Tower Wang

In this paper, we study inflation in the general covariant Ho\v{r}ava-Lifshitz gravity without the projectability condition. We write down explicitly the equations of the linear scalar perturbations of the FRW universe for a single scalar…

High Energy Physics - Theory · Physics 2014-11-10 Tao Zhu , Yongqing Huang , Anzhong Wang

We study a minimal two-field scalar-tensor completion of Starobinsky inflation motivated by the one-loop effective action of scalar-tensor gravity. The model admits an exact Starobinsky branch, but the relevant question is whether nearby…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Boris Latosh

Motivated by the recent observation of the B-mode signal in the cosmic microwave background by BICEP2, we stuty the Starobinsky-type inflation model in the framework of old-minimal supergravity, where the inflaton field in the original…

High Energy Physics - Phenomenology · Physics 2014-05-15 Koichi Hamaguchi , Takeo Moroi , Takahiro Terada

We develop an inflationary model without small parameters on the basis of multidimensional $f(R)$ gravity with a minimally coupled scalar field. The model is described by two stages of space expansion. The first one begins at energy scales…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Polina Petriakova , Sergey G. Rubin

The possibility of the resilience of the beginning of inflation under unfavorable conditions is examined by considering the initial state of the inflaton field to be in the form of a relativistic gas with some of its properties in close…

High Energy Physics - Theory · Physics 2023-04-05 Lasha Berezhiani , Mark Trodden
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