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Related papers: Generalized non-local $R^2$-like inflation

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A particular extension of Einstein's General Relativity up to and including quartic terms in the curvature tensor is minimal in the sense that it has a unique maximally symmetric vacuum and only a massless spin-2 excitation in its spectrum…

General Relativity and Quantum Cosmology · Physics 2024-12-12 Kerim Demirel , Bayram Tekin

In the framework of $f\left(R, T, R_{ab}T^{ab}\right)$ gravity theory, the slow-roll approximation of the cosmic inflation is investigated, where $T$ is the trace of the energy-momentum tensor $T^{ab}$, $R$ and $R_{ab}$ are the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Zhe Feng

Cosmological inflation is discussed in the framework of $F(R,{\cal G})$ gravity where $F$ is a generic function of the curvature scalar $R$ and the Gauss-Bonnet topological invariant $\cal G$. The main feature that emerges in this analysis…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Mariafelicia De Laurentis , Mariacristina Paolella , Salvatore Capozziello

Inflation is studied in the context of induced gravity (IG) $\gamma \sigma^2 R$, where $R$ is the Ricci scalar, $\sigma$ a scalar field and $\gamma$ a dimensionless constant, and diverse symmetry-breaking potentials $V(\sigma)$ are…

General Relativity and Quantum Cosmology · Physics 2014-11-21 A. Cerioni , F. Finelli , A. Tronconi , G. Venturi

We propose a novel scenario in which scalar perturbations, that seed the large scale structure of the Universe, are generated without relying on a scalar field (the inflaton). In this framework, inflation is driven by a de Sitter space-time…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-20 Daniele Bertacca , Raul Jimenez , Sabino Matarrese , Angelo Ricciardone

We investigate inflation within $f(R,\phi)$-theories, where a dynamical scalar field is coupled to gravity. A class of models which can support early-time acceleration with the emerging of an effective cosmological constant at high…

General Relativity and Quantum Cosmology · Physics 2018-12-13 R. Myrzakulov , L. Sebastiani , S. Vagnozzi

In the context of metric-affine gravity theories, where the metric and connection are independent, we examine actions involving quadratic terms in the Ricci scalar curvature and the Holst invariant. These actions are non-minimally coupled…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Ioannis D. Gialamas , Kyriakos Tamvakis

After reviewing the motivations for cosmological inflation formulated in the formalism of supersymmetry, we argue that the appropriate framework is that of no-scale supergravity. We then show how to construct within this framework…

High Energy Physics - Phenomenology · Physics 2021-02-24 John Ellis , Marcos A. G. Garcia , Natsumi Nagata , Dimitri V. Nanopoulos , Keith A. Olive , Sarunas Verner

In the general framework of Metric-Affine theories of gravity, where the metric and the connection are independent variables, we consider actions quadratic in the Ricci scalar curvature and the Holst invariant (the contraction of the…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Ioannis D. Gialamas , Kyriakos Tamvakis

In this paper we investigate the asymptotic dynamics of inflationary cosmological models that are based in scalar-tensor theories of gravity. Our main aim is to explore the global structure of the phase space in the framework of…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Israel Quiros , Tame Gonzalez , Roberto De Arcia , Ricardo García-Salcedo , Ulises Nucamendi , Joel F. Saavedra

We set up cosmological perturbation theory and study the cosmological implications of the so-called ``generalized Galileon'' developed in \cite{Deffayet:2011gz,horndeski}. This is the most general scalar field theory whose Lagrangian…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-26 Xian Gao , Daniele A. Steer

General Relativity (GR) exists in different formulations. They are equivalent in pure gravity but generically lead to distinct predictions once matter is included. After a brief overview of various versions of GR, we focus on metric-affine…

High Energy Physics - Theory · Physics 2023-11-09 Claire Rigouzzo , Sebastian Zell

In this letter we shall demonstrate that the viable $F(R)$ gravities can be classified mainly into two classes of inflationary attractors, either the $R^2$ attractors or the $\alpha$-attractors. To show this, we shall derive the most…

General Relativity and Quantum Cosmology · Physics 2020-08-26 S. D. Odintsov , V. K. Oikonomou

Considering the inflation model based on a $f(R)$ gravity theory, we obtain several important constraints from the large angular scale CMBR observations. First, the ordinary slow-roll assumption during the inflation together with…

Astrophysics · Physics 2013-06-11 Hyerim Noh

We analyze a two-field inflationary model consisting of the Ricci scalar squared ($R^2$) term and the standard Higgs field non-minimally coupled to gravity in addition to the Einstein $R$ term. Detailed analysis of the power spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-13 Minxi He , Alexei A. Starobinsky , Jun'ichi Yokoyama

We examine an inflationary model in $R + R^2$ gravity with torsion, where $R^2$ denotes five independent quadratic curvature invariants; it turns out that only two free parameters remain in this model. We show that the behavior of the scale…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Chih-Hung Wang , Yu-Huei Wu

It is believed that the recent detection of large tensor perturbations strongly favors the inflation scenario in the early universe. This common sense depends on the assumption that Einstein's general relativity is valid at the early…

High Energy Physics - Theory · Physics 2015-06-19 Mingzhe Li

We consider a generic model of quadratic gravity coupled to a single scalar and investigate the effects of gravitational degrees of freedom on inflationary parameters. We find that quantum corrections arising from the massive spin-2 ghost…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-30 Jisuke Kubo , Jeffrey Kuntz , Jonas Rezacek , Philipp Saake

We here investigate bulk-viscosity driven quasi de-Sitter inflation, that is, the period of accelerated expansion in the early universe during which $-\dot{H}\ll H^2$, with $H(t)$ being the Hubble expansion rate. We do so in the framework…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Sayantani Lahiri , Luciano Rezzolla

We consider inflation in the system containing a Ricci scalar squared term and a canonical scalar field with quadratic mass term. In the Einstein frame this model takes the form of a two-field inflation model with a curved field space, and…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-01 Taro Mori , Kazunori Kohri , Jonathan White