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Related papers: Inflationary dynamics in modified gravity models

200 papers

Supergravity provides the natural supersymmetric framework for early universe cosmology. A broad class of inflationary models in no-scale supergravity yields tree-level predictions for cosmic microwave background (CMB) observables that…

High Energy Physics - Phenomenology · Physics 2026-03-04 John Ellis , Tony Gherghetta , Kunio Kaneta , Wenqi Ke , Keith A. Olive

The bimetric theory of gravity is an extension of general relativity that describes a massive spin-$2$ particle in addition to the standard massless graviton. The theory is based on two dynamical metric tensors with their interactions…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

The Starobinsky model of inflation remains consistent with observation, forty years after its introduction. It provides a well motivated origin for the scalar inflaton, the "scaleron" with a mass of $O(10^{13})$ GeV, emerging as a graviton…

High Energy Physics - Theory · Physics 2021-07-07 Christopher T. Hill , Graham G. Ross

We discuss the soundness of inflationary scenarios in theories beyond the Starobinsky model, namely a class of theories described by arbitrary functions of the Ricci scalar and the K-essence field. We discuss the pathologies associated with…

General Relativity and Quantum Cosmology · Physics 2016-06-09 Alvaro de la Cruz-Dombriz , Emilio Elizalde , Sergei D. Odintsov , Diego Saez-Gomez

In literature there is a model of modified gravity in which the matter Lagrangian is coupled to the geometry via trace of the stress-energy momentum tensor $T=T_{\mu}^{\mu}$. This type of modified gravity is called as $f(R,T)$ in which $R$…

General Relativity and Quantum Cosmology · Physics 2016-08-30 M. J. S. Houndjo , M. E. Rodrigues , N. S. Mazhari , D. Momeni , R. Myrzakulov

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…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ioannis D. Gialamas , Theodoros Katsoulas , Kyriakos Tamvakis

We analyze the Starobinsky inflation model and the impact of curvature corrections, particularly a cubic $R^3$ term, to assess their behavior in light of the latest observational results from the Atacama Cosmology Telescope (ACT). With the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-30 J. Bezerra-Sobrinho , L. G. Medeiros

We revisit the old (fourth-order or quadratically generated) gravity model of Starobinsky in four space-time dimensions, and derive the (inflaton) scalar potential in the equivalent scalar-tensor gravity model via a Legendre-Weyl transform.…

High Energy Physics - Theory · Physics 2010-12-09 S. Kaneda , S. V. Ketov , N. Watanabe

In this work, we study the inflationary cosmology in modified gravity theory $f(R, T) = R + 2 \lambda T$ ($\lambda$ is the modified gravity parameter) with three distinct class of inflation potentials (i) $\phi^p e^{-\alpha\phi}$, (ii)…

General Relativity and Quantum Cosmology · Physics 2023-01-09 Ashmita , Payel Sarkar , Prasanta Kumar Das

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…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Mauricio Gamonal

The $R^2$ term in the Starobinsky inflationary model can be regarded as a leading quantum correction to the gravitational effective action. We assume that parity-preserving and parity-violating (axial) non-minimal couplings between…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 Oleg Savchenko , Yuri Shtanov

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

Analysis of PDEs · Mathematics 2014-12-30 Philippe G. LeFloch , Yue Ma

Inflationary era of our Universe can be characterized as semi-classical because it can be described in the context of four-dimensional Einsteins's gravity involving quantum corrections. These string motivated corrections originate from…

General Relativity and Quantum Cosmology · Physics 2021-08-25 S. A. Venikoudis , F. P. Fronimos

Higgs inflation and $R^2$-inflation (Starobinsky model) are two limits of the same quantum model, hereafter called Starobinsky-Higgs. We analyse the two-loop action of the Higgs-like scalar $\phi$ in the presence of: 1) non-minimal coupling…

High Energy Physics - Phenomenology · Physics 2018-12-05 D. M. Ghilencea

We review recent trends on inflationary dynamics in the context of viable modified gravity theories. After providing a general overview of the inflationary paradigm emphasizing on what problems of hot Big Bang theory inflation solves, and a…

General Relativity and Quantum Cosmology · Physics 2023-09-20 S. D. Odintsov , V. K. Oikonomou , I. Giannakoudi , F. P. Fronimos , E. C. Lymperiadou

We show that a new class of helical phase inflation models can be simply realized in minimal supergravity, wherein the inflaton is the phase component of a complex field and its potential admits a deformed helicoid structure. We find a new…

High Energy Physics - Theory · Physics 2015-10-19 Tianjun Li , Zhijin Li , Dimitri V. Nanopoulos

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…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Béatrice Bonga , Brajesh Gupt

We investigate the cosmological inflation in a class of supergravity models that are generalizations of non-supersymmetric $R^2$ models. Although such models have been extensively studied recently, especially after the launch of the PLANCK…

High Energy Physics - Theory · Physics 2015-06-23 G. A. Diamandis , B. C. Georgalas , K. Kaskavelis , P. Kouroumalou , A. B. Lahanas , G. Pavlopoulos

During inflation, higher derivative terms in the gravitational action may play a significant role. Building on new stable formulations of four-derivative scalar-tensor theories, we study the impact of these corrections in the case where the…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Sam E. Brady , Katy Clough , Pau Figueras , Áron D. Kovács

In this work, we study the $f(R)$ models of inflation in the context of gravity's rainbow theory. We choose three types of $f(R)$ models: $f(R)=R+\alpha (R/M)^{n},\,f(R)=R+\alpha R^{2}+\beta R^{2}\log(R/M^{2})$ and the Einstein-Hu-Sawicki…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Areef Waeming , Phongpichit Channuie