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Related papers: Modified Starobinsky inflation by the $R\ln\left( …

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The scenario of constant-roll inflation is studied where the inflaton is a scalar field with modified kinetic term, known as non-canonical scalar field. This modification leads to some changes in the slow-roll parameters, and also by taking…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-23 Abolhassan Mohammadi , Khaled Saaidi , Haidar Sheikhahmadi

We show that adding a cosmological constant term to the Starobinsky model, it can be solved exactly without using the slow-roll approximation.

General Relativity and Quantum Cosmology · Physics 2019-05-29 P. Valtancoli

Using suitable Renormalization Group (RG) based re-summation of quantum corrections to $R^2$ term, a re-summed version of the effective Lagrangian can be obtained \cite{Demmel:2015oqa}. In the context of gravity as an Asymptotically Safe…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Phongpichit Channuie

The advancement in the observational cosmology of the early universe such as Cosmic Microwave Background (CMB) observations, puts severe constraints on the inflationary models. Many inflationary models have been ruled out by CMB,…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Yogesh , Mehnaz Zahoor , Kashif Ali Wani , Imtiyaz Ahmad Bhat

We study three types of the old-minimal higher-derivative supergravity theories extending the $f(R)$ gravity, towards their use for the inflationary model building in supergravity, by using both superfields and their field components. In…

High Energy Physics - Theory · Physics 2013-12-10 Sergei V. Ketov , Takahiro Terada

In the present paper, we study the inflationary phenomenology of a $k$-inflation corrected Einstein-Gauss-Bonnet theory. Non-canonical kinetic terms are known for producing Jean instabilities or superluminal sound wave velocities in the…

General Relativity and Quantum Cosmology · Physics 2021-02-24 S. D. Odintsov , V. K. Oikonomou , F. P. Fronimos

In this paper we will study $R^2$-like inflation in a non-local modification of gravity which contains quadratic in Ricci scalar and Weyl tensor terms with analytic infinite derivative form-factors in the action. It is known that the…

High Energy Physics - Theory · Physics 2020-07-08 Alexey S. Koshelev , K. Sravan Kumar , Anupam Mazumdar , Alexei A. Starobinsky

This paper studies the quantum corrections to the Higgs inflation model in the context of the Einstein-Cartan (E-C) gravity in the large-$ N $ limit with $N$ being the number of real scalar components in Higgs. Recently, it is realized that…

High Energy Physics - Phenomenology · Physics 2024-01-05 Minxi He , Kohei Kamada , Kyohei Mukaida

Observational consequences of inflationary cosmology in the holographic dual of the Randall-Sundrum type II braneworld scenario, as motivated by the AdS/CFT correspondence, are investigated. High energy corrections to the standard…

Astrophysics · Physics 2008-04-22 James E. Lidsey , David Seery

We examine the inflationary modes in the cubic curvature theories in the context of asymptotically safe gravity. On the phase space of the Hubble parameter, there exists a critical point which corresponds to the slow-roll inflation in…

General Relativity and Quantum Cosmology · Physics 2012-08-09 Sungwook E. Hong , Young Jae Lee , Heeseung Zoe

We here explore a specific class of scalar field, dubbed quasi-quintessence which exhibits characteristics akin to ordinary matter. Specifically, we investigate under which conditions this fluid can mitigate the classical cosmological…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Orlando Luongo , Tommaso Mengoni

We discuss the cosmological inflation in the context of $f(Q)$ non-metric gravity, where $Q$ is the non-metric scalar. After introducing conformal transformations for $f(Q)$ gravity, we first focus on the potential-slow-roll inflation by…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Salvatore Capozziello , Mehdi Shokri

Slow-roll inflation is analyzed in the context of modified gravity within the Palatini formalism. As shown in the literature, inflation in this framework requires the presence of non-traceless matter, otherwise it does not occur just as a…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Sabit Bekov , Kairat Myrzakulov , Ratbay Myrzakulov , Diego Sáez-Chillón Gómez

We investigate an ability of the exponential power-law inflation to be phenomenologically correct model of the early universe. GR scalar cosmology equations we study in Ivanov-Salopek-Bond (or Hamilton-Jacobi like) representation where the…

General Relativity and Quantum Cosmology · Physics 2025-01-22 I. V. Fomin , S. V. Chervon

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

In this work, we study several extensions of the higher curvature modification of $R^{2}$ inflation in the context of gravity's rainbow. We modify the $(R+R^{2})$ model by adding an $f_{1}R^3$-term, an $f_{2}R^4$-term, and an…

General Relativity and Quantum Cosmology · Physics 2024-08-05 Jureeporn Yuennan , Phongpichit Channuie , Davood Momeni

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…

High Energy Physics - Theory · Physics 2024-01-18 Max Brinkmann , Michele Cicoli , Pietro Zito

The $R^2$ inflation which is an extension of general relativity (GR) by quadratic scalar curvature introduces a quasi-de Sitter expansion of the early Universe governed by Ricci scalar being an eigenmode of d'Alembertian operator. In this…

High Energy Physics - Theory · Physics 2023-07-21 Alexey S. Koshelev , K. Sravan Kumar , Alexei A. Starobinsky

Nonminimal coupling between the inflaton and the Ricci scalar plays a crucial role in shaping the predictions of single-field inflationary models. While a quartic potential with such coupling represents one of the simplest realizations…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-24 Waqas Ahmed , Mansoor Ur Rehman

$F(R)$ 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…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Vsevolod R. Ivanov