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The theory of General Relativity was established on a spacetime manifold equipped with a metric tensor, $(\mathcal{M}_4,\text{g})$, and the connection on $\mathcal{M}_4$ identified with the Levi-Civita one. Even though there are valid…

广义相对论与量子宇宙学 · 物理学 2022-02-24 Angelos Lykkas

In this work, we perform a numerical study of three Starobinsky--type inflationary scenarios: the $\alpha$--Starobinsky inflationary model, the power--law Starobinsky inflationary model, and the power--law $\alpha$--Starobinsky inflationary…

宇宙学与河外天体物理 · 物理学 2026-05-12 Jordan Zambrano , Ángel Rodríguez , Melisa Alvear , Clara Rojas

We consider an inflationary model motivated by quantum effects of gravitational and matter fields near the Planck scale. Our Lagrangian is a re-summed version of the effective Lagrangian recently obtained by Demmel, Saueressig and…

广义相对论与量子宇宙学 · 物理学 2018-08-15 Lei-Hua Liu , Tomislav Prokopec , Alexei A. Starobinsky

The ACT data shows an enhancement in the value of the scalar spectral index, as $n_s = 0.9743 \pm 0.0034$, leading to disfavoring many inflationary models, including the Starobinsky model. To satisfy the constraint made by ACT, we will…

宇宙学与河外天体物理 · 物理学 2025-05-09 Yogesh , Abolhassan Mohammadi , Qiang Wu , Tao Zhu

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…

高能物理 - 理论 · 物理学 2024-01-18 Max Brinkmann , Michele Cicoli , Pietro Zito

The aim of this paper is to provide a more precise description of the paradigm of corpuscular slow-roll inflation, which was previously introduced by Casadio et al. in [1]. Specifically, we start by expanding the Starobinsky theory on a…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Andrea Giugno , Andrea Giusti

We have found numerically initial conditions in the $(R, H)$ plane leading to a successful Starobinsky inflation in $R+R^2$ gravity for a isotropic metrics with positive spatial curvature. Trajectories can reach inflation regime either…

广义相对论与量子宇宙学 · 物理学 2023-11-03 Daniel Müller , Alexey Toporensky

In canonical scalar field inflation, the Starobinsky model (with a linear potential but discontinuous slope) is remarkable in that though slow-roll is violated, both the power-spectrum and bi-spectrum can be calculated exactly analytically.…

高能物理 - 理论 · 物理学 2015-06-15 Santiago Avila , Jerome Martin , Daniele Steer

In the context of effective theories of gravity, a minimalist bottom-up approach which takes into account $1$-loop quantum corrections leads to modifications in the Einstein-Hilbert action through the inclusion of four extra terms: $R^{2}$,…

广义相对论与量子宇宙学 · 物理学 2023-01-27 J. Bezerra-Sobrinho , L. G. Medeiros

We consider a non-canonic field in the context of Starobinsky inflation. We work in Einstein-frame. In this frame, the gravitational part of the action is equivalent to the Hilbert-Einstein action, plus a scalar field called scalaron. We…

广义相对论与量子宇宙学 · 物理学 2021-04-28 Salomeh Khoeini-Moghaddam

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

The recent Planck data of Cosmic Microwave Background (CMB) temperature anisotropies support the Starobinsky theory in which the quadratic Ricci scalar drives cosmic inflation. We build up a multi-dimensional quantum consisted ultraviolet…

高能物理 - 理论 · 物理学 2014-01-30 Fabio Briscese , Leonardo Modesto , Shinji Tsujikawa

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…

宇宙学与河外天体物理 · 物理学 2024-08-22 Piyabut Burikham , Teeraparb Chantavat , Pongsapat Boonaom

Alexei Alexandrovich Starobinsky was one of the greatest cosmologists of all times, who made fundamental contributions to gravitational theory and cosmology based on geometrical ideas in physics, in the spirit of Einstein. One of his big…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Sergei V. Ketov

This paper focuses on the Starobinsky model of inflation. We derive solutions for various cosmological observables, such as the scalar spectral index $n_s$, the tensor-to-scalar ratio $r$ and their runnings, as well as the number of…

宇宙学与河外天体物理 · 物理学 2024-03-22 Gabriel German , Juan Carlos Hidalgo , Luis E. Padilla

We investigate the early universe evolution in the context of brane inflation driven by a supergravity-inspired $\arctan$ potential. We performed a slow-roll and a semi-analytical reheating analyses and obtained constraints on the…

高能物理 - 理论 · 物理学 2022-07-18 R. M. P. Neves , S. Santos da Costa , F. A. Brito , J. S. Alcaniz

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

In the present letter we find that Starobinsky's inflationary solution is also valid in the Dvali-Gabadadze-Porrati (DGP) model where a 3-brane is embedded in 5-dimensional Minkowski bulk. We show that such a solution is typically not…

高能物理 - 理论 · 物理学 2008-11-26 Olindo Corradini , Alberto Iglesias

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

The recent CMB data from Planck and BICEP2 observations have opened a new window for inflationary cosmology. In this Essay we compare three Starobinsky-like inflationary scenarios: (i) the original Starobinsky proposal; (ii) a family of…

宇宙学与河外天体物理 · 物理学 2015-06-19 S. Basilakos , J. A. S. Lima , J. Solà