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相关论文: Analytic extensions of Starobinsky model of inflat…

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We propose a one-parametric extension of the Starobinsky $R+R^2$ model by adding the $(R+m^2\beta^2)^{3/2}$ term. The parameter $m$ is the inflaton mass, which is determined in the same way as in the Starobinsky model, and $\beta$ is a…

广义相对论与量子宇宙学 · 物理学 2023-04-03 Ekaterina O. Pozdeeva , Sergey Yu. Vernov

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

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 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

Higher-order theories of gravity are a branch of modified gravity wherein the geometrodynamics of the four-dimensional Riemannian manifold is determined by field equations involving derivatives of the metric tensor of order higher than two.…

广义相对论与量子宇宙学 · 物理学 2024-04-19 R. R. Cuzinatto , L. G. Medeiros

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

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 investigate a standard minimally-coupled scalar-field inflationary scenario, which is based on a new potential, with suitably generalized plateau features, that leads to extra small tensor-to-scalar ratios. In particular, we consider a…

宇宙学与河外天体物理 · 物理学 2025-11-13 Gerasimos Kouniatalis , Emmanuel N. Saridakis

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

We consider a modified gravity framework for inflation by adding to the Einstein-Hilbert action a direct $f(\phi)T$ term, where $\phi$ is identified as the inflaton and $T$ is the trace of the energy-momentum tensor. The framework goes to…

广义相对论与量子宇宙学 · 物理学 2022-02-23 Xinyi Zhang , Che-Yu Chen , Yakefu Reyimuaji

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…

高能物理 - 唯象学 · 物理学 2020-05-05 Dhong Yeon Cheong , Hyun Min Lee , Seong Chan Park

We study inflation induced by (power-low) scalar curvature corrections to General Relativity. The class of inflationary scalar potentials $V(\sigma)\sim\exp[n\,\sigma]$, $n$ general parameter, is investigated in the Einsein frame and the…

广义相对论与量子宇宙学 · 物理学 2014-09-22 L. Sebastiani , G. Cognola , R. Myrzakulov , S. D. Odintsov , S. Zerbini

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…

宇宙学与河外天体物理 · 物理学 2022-03-14 G. Rodrigues-da-Silva , J. Bezerra-Sobrinho , L. G. Medeiros

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 $R+R^2$ 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

$F(R)$ inflationary models are analyzed without the Weyl transformation to the Einstein frame. Sufficient conditions for existence of global inflationary attractors in $F(R)$ models are provided. Following that, the procedure for…

广义相对论与量子宇宙学 · 物理学 2025-08-26 Vsevolod R. Ivanov

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…

广义相对论与量子宇宙学 · 物理学 2025-09-30 Jureeporn Yuennan , Farruh Atamurotov , Phongpichit Channuie

In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)], it has been demonstrated that theories of gravity in which the Lagrangian includes terms depending on the scalar curvature $R$ and its derivatives up to order $n$, i.e.…

广义相对论与量子宇宙学 · 物理学 2019-05-07 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

In this work, we studied the slow-roll approximation of cosmic inflation within the context of $f(R,T)$ gravity, where $R$ is the scalar curvature, and $T$ is the trace of the energy-momentum tensor. By choosing a minimal coupling between…

广义相对论与量子宇宙学 · 物理学 2021-01-12 Mauricio Gamonal
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