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We study models of inflation where the scalar field $\phi$ that drives inflation is coupled non-minimally to gravity via $\xi \phi^2 R$, or where the gravity sector is enlarged by an $R^2$ term. We consider the original Higgs inflation,…

宇宙学与河外天体物理 · 物理学 2019-05-01 Tomo Takahashi , Tommi Tenkanen

We consider a cosmological inflation scenario based on a no-scale supergravity sector with $U(1)_R$ symmetry. It is shown that a tree level $U(1)_R$ symmetric superpotential alone does not lead to a slowly rolling scalar potential. A…

高能物理 - 唯象学 · 物理学 2019-05-29 Shaaban Khalil , Ahmad Moursy , Abhijit Kumar Saha , Arunansu Sil

We investigate the pre-inflationary dynamics of inflation with the Starobinsky potential, favored by recent data from the Planck mission, using techniques developed to study cosmological perturbations on quantum spacetimes in the framework…

广义相对论与量子宇宙学 · 物理学 2016-03-23 Béatrice Bonga , Brajesh Gupt

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 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

The first inflationary model conceived was the one proposed by Starobinsky which includes an additional term quadratic in the Ricci-scalar R in the Einstein-Hilbert action. The model is now considered a target for several future cosmic…

宇宙学与河外天体物理 · 物理学 2021-01-27 S. Santos da Costa , M. Benetti , R. M. P. Neves , F. A. Brito , R. Silva , J. S. Alcaniz

A self-consistent pre-inflationary extension of the inflationary scenario with the Starobinsky potential, favored by Planck data, is studied using techniques from loop quantum cosmology (LQC). The results are compared with the quadratic…

广义相对论与量子宇宙学 · 物理学 2016-05-25 Béatrice Bonga , Brajesh Gupt

We study Quadratic Inflation with the inflaton field $\phi$ coupled non-minimally to the curvature scalar $R$, so that the potential during inflation is of the form $V\propto m^2\phi^2+\xi R\phi^2$. We show that with a suitable choice of…

宇宙学与河外天体物理 · 物理学 2017-12-13 Tommi Tenkanen

Supersymmetric versions of induced-gravity inflation are formulated within Supergravity (SUGRA) employing two gauge singlet chiral superfields. The proposed superpotential is uniquely determined by applying a continuous R and a discrete Z_n…

高能物理 - 唯象学 · 物理学 2014-10-10 C. Pallis

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…

广义相对论与量子宇宙学 · 物理学 2022-11-22 Polina Petriakova , Sergey G. Rubin

We propose a derivation of the inflaton scalar potential from the higher $(D)$ dimensional $(R+\gamma R^n-2\Lambda)$ gravity, with the new coupling constant $\gamma$ and the cosmological constant $\Lambda$. We assume that a compactification…

高能物理 - 理论 · 物理学 2017-05-24 Sergei V. Ketov , Hiroshi Nakada

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

We study the implications of $R^n$ extension of Starobinsky model on dynamical instability of Vorticity-free axially symmetric gravitating body. The matter distribution is considered to be anisotropic for which modified field equations are…

广义相对论与量子宇宙学 · 物理学 2015-04-13 Ifra Noureen , Abdul Aziz Bhatti , M. Zubair

We propose a minimal model framework for physics below the Planck scale with the following features: (i) it is based on no-scale supergravity, as favoured in many string compactifications, (ii) it incorporates Starobinsky-like inflation,…

高能物理 - 唯象学 · 物理学 2014-02-12 John Ellis , Dimitri V. Nanopoulos , Keith A. Olive

Based on the current experimental data, the Standard Model predicts that the current vacuum state of the Universe is metastable, leading to a non-zero rate of vacuum decay through nucleation of bubbles of true vacuum. Our existence implies…

宇宙学与河外天体物理 · 物理学 2022-10-25 Andreas Mantziris , Tommi Markkanen , Arttu Rajantie

Based on the renormalizable theory of gravitation recently proposed by Horava, we present a simple scenario to generate almost scale-invariant, super-horizon curvature perturbations. The anisotropic scaling with dynamical critical exponent…

高能物理 - 理论 · 物理学 2010-03-12 Shinji Mukohyama

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 $\,~…

高能物理 - 理论 · 物理学 2015-01-28 A. B. Lahanas , K. Tamvakis

Recent analyses of low-redshift supernova and Cepheid data reveal localized shifts in the distance modulus, often interpreted as calibration anomalies or hints of new physics. We propose that these features may emerge naturally from…

宇宙学与河外天体物理 · 物理学 2025-11-20 Davood Momeni

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 propose an exact, analytic deformation of the Starobinsky model governed by the strictly positive derivative of its Lagrangian, $f'(R) = \alpha R + \sqrt{\alpha^2 R^2 + 1}$, with $\alpha > 0$. This geometric hyperbolic square-root ansatz…

广义相对论与量子宇宙学 · 物理学 2026-03-11 Andrei Galiautdinov