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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…

广义相对论与量子宇宙学 · 物理学 2022-03-30 Vsevolod R. Ivanov , Sergei V. Ketov , Ekaterina O. Pozdeeva , Sergey Yu. Vernov

We consider an extension of the Starobinsky model, whose parameters are functions of an extra scalar field. Our motivation is to test the robustness (or sensitivity) of the Starobinsky inflation against mixing scalaron with another (matter)…

高能物理 - 理论 · 物理学 2016-02-17 Sho Kaneda , Sergei V. Ketov

An extension of the Starobinsky model is proposed. Besides the usual Starobinsky Lagrangian, a term proportional to the derivative of the scalar curvature, $\nabla_{\mu}R\nabla^{\mu}R$, is considered. The analyzis is done in the Einstein…

广义相对论与量子宇宙学 · 物理学 2019-03-04 R. R. Cuzinatto , L. G. Medeiros , P. J. Pompeia

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…

宇宙学与河外天体物理 · 物理学 2025-02-10 Saisandri Saini , Akhilesh Nautiyal

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…

广义相对论与量子宇宙学 · 物理学 2018-11-28 I. Antoniadis , A. Karam , A. Lykkas , K. Tamvakis

We consider a power law $\frac{1}{M^2}R^{\beta}$ correction to Einstein gravity as a model of inflation. The interesting feature of this form of generalization is that small deviations from the Starobinsky limit $\beta=2$ can change the…

高能物理 - 唯象学 · 物理学 2015-06-11 Girish Kumar Chakravarty , Subhendra Mohanty

Starobinsky has suggested an inflation model which is obtained from the vacuum Einstein's equations modified by the one-loop corrections due to quantized matter fields. Although the one-loop gravitational action is not known for a general…

宇宙学与河外天体物理 · 物理学 2018-04-06 Seokcheon Lee

In this work we revisit $\alpha$-Starobinsky inflation, also know as $E$-model, in the light of current CMB and LSS observations. The inflaton potential in the Einstein frame for this model contains a parameter $\alpha$ in the exponential,…

宇宙学与河外天体物理 · 物理学 2025-07-11 Saisandri Saini , Akhilesh Nautiyal

Superstring/M-theory is the theory of quantum gravity that can provide the UV-completion to viable inflation models. We modify the Starobinsky inflation model by adding the Bel-Robinson tensor $T^{\mu\nu\lambda\rho}$ squared term proposed…

广义相对论与量子宇宙学 · 物理学 2023-02-06 Sergei V. Ketov , Ekaterina O. Pozdeeva , Sergey Yu. Vernov

In this work we revisit power law, $\frac{1}{M^2}R^\beta$, inflation to find the deviations from $R^2$ inflation allowed by current CMB and LSS observations. We compute the power spectra for scalar and tensor perturbations numerically and…

宇宙学与河外天体物理 · 物理学 2023-11-16 Saisandri Saini , Akhilesh Nautiyal

In the new-minimal supergravity formulation we present the embedding of the $R+R^2$ Starobinsky model of inflation. Starting from the superspace action we perform the projection to component fields and identify the Starobinsky model in the…

高能物理 - 理论 · 物理学 2015-09-02 Fotis Farakos

The $R+R^2$ model of gravity with the corresponding shallow potential in the Einstein frame is consistent with the observations. Recently, many efforts have been made to generalize the $R+R^2$ (Starobinsky) model of inflation or use other…

广义相对论与量子宇宙学 · 物理学 2023-02-08 Masud Chaichian , Amir Ghal'e , Markku Oksanen

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…

宇宙学与河外天体物理 · 物理学 2026-02-25 Saisandri Saini , Akhilesh Nautiyal

We consider the simplest extension to the Starobinsky model, by allowing an extra scalar field to help drive inflation. We perform our analysis in the Einstein frame and calculate the power spectra at the end of inflation to second order in…

高能物理 - 理论 · 物理学 2015-10-21 Carsten van de Bruck , Laura Elena Paduraru

The standard Starobinsky inflation has been extended to the $R + \alpha R^n - \beta R^{2-n}$ model to obtain a stable minimum of the Einstein frame scalar potential of the auxiliary field. As a result we have obtained obtain a scalar…

高能物理 - 理论 · 物理学 2014-12-24 Michal Artymowski , Zygmunt Lalak

We show that the universal $\alpha$-attractor models of inflation can be realized by including an auxiliary vector field $A_{\mu}$ for the Starobinsky model with the Lagrangian $f(R)=R+R^2/(6M^2)$. If the same procedure is applied to…

宇宙学与河外天体物理 · 物理学 2015-07-24 Mehmet Ozkan , Yi Pang , Shinji Tsujikawa

We analyse $f(R)$ theories of gravity from a dynamical system perspective, showing how the $R^2$ correction in Starobinsky's model plays a crucial role from the viewpoint of the inflationary paradigm. Then, we propose a modification of…

广义相对论与量子宇宙学 · 物理学 2016-11-17 Júlio C. Fabris , Tays Miranda , Oliver F. Piattella

We introduce a modification of the Starobinsky model in the form of an additional cubic Ricci scalar curvature term $\sim \alpha R^3$, scaled by a dimensionless parameter $\alpha$, with the resulting inflaton potential being the standard…

广义相对论与量子宇宙学 · 物理学 2025-09-23 Ioannis D. Gialamas , Theodoros Katsoulas , Kyriakos Tamvakis

The Palatini formulation of the Starobinsky model does not yield a propagating scalaron that can assume the role of the inflaton field as in the conventional metric formulation. In the so-called Palatini-${R}^2$ models this role is assumed…

广义相对论与量子宇宙学 · 物理学 2021-09-01 Angelos Lykkas , Kyriakos Tamvakis

The BICEP2 collaboration has recently released data showing that the scalar-to-tensor ratio $r$ is much larger than expected. The immediate consequence, in the context of $f(R)$ gravity, is that the Starobinsky model of inflation is ruled…

广义相对论与量子宇宙学 · 物理学 2014-08-07 Massimiliano Rinaldi , Guido Cognola , Luciano Vanzo , Sergio Zerbini
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