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We review inflationary cosmology in modified gravity such as $R^2$ gravity with its extensions in order to generalize the Starobinsky inflation model. In particular, we explore inflation realized by three kinds of effects: modification of…

High Energy Physics - Theory · Physics 2015-03-11 Kazuharu Bamba , Sergei D. Odintsov

Recently, the nonperturbative quantization scheme of loop quantum gravity has been extended to the Brans-Dicke theory and the corresponding loop quantum Brans-Dicke cosmology has been derived, which provides an essential platform to explore…

General Relativity and Quantum Cosmology · Physics 2019-02-15 Wei-Jian Jin , Yongge Ma , Tao Zhu

In order to draw out the essential behavior of the universe, investigations of early universe cosmology often reduce the complex system to a simple integrable system. Inflationary models are of this kind as they focus on simple scalar field…

Astrophysics · Physics 2009-10-28 Neil J. Cornish , Janna J. Levin

The theory of inflation is one of the fundamental and revolutionary developments of modern cosmology that became able to explain many issues of early universe in the context of the standard cosmological model (SCM). However, the initial…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Jaume de Haro , Supriya Pan

We study the evironment-induced decoherence of cosmological perturbations in an inflationary background. Splitting our spectrum of perturbations into two distinct sets characterized by their wavelengths (super and sub-Hubble), we identify…

Astrophysics · Physics 2008-11-26 P. Martineau

We propose an open hybrid inflation scenario that produces an open universe with a `tilted' n>1 spectrum of metric perturbations. The model contains a symmetry breaking field that tunnels to its true vacuum, producing a single bubble inside…

Astrophysics · Physics 2009-09-29 Juan Garcia-Bellido , Andrei Linde

We consider primordial fluctuations in thermal inflation scenario. Since the thermal inflation drives about 10 $e$-folds after the standard inflation, the time of horizon-exit during inflation corresponding to the present observational…

High Energy Physics - Theory · Physics 2010-02-18 Masahiro Kawasaki , Tomo Takahashi , Shuichiro Yokoyama

We develop a model for correlations of cosmic microwave background anisotropy on the largest angular scales, based on standard causal geometrical relationships in slow-roll inflation. Unlike standard models based on quantized field modes,…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Craig Hogan , Stephan S. Meyer , Nathaniel Selub , Frederick Wehlen

The predictive power of cosmic inflation hinges on the existence of a conserved quantity at very large scales, called the primordial curvature perturbation, which is therefore insensitive to the details of reheating and the physics of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Matteo Braglia , Lucas Pinol

The behaviour of quantum metric perturbations produced during inflation is considered at the stage after the second Hubble radius crossing. It is shown that the classical correlation between amplitude and momentum of a perturbation mode,…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Claus Kiefer , Julien Lesgourgues , David Polarski , Alexei A. Starobinsky

Several major open problems in cosmology, including the nature of inflation, dark matter, and dark energy, share a common structure: they involve spacetime-filling media with unknown microphysics, and can be probed so far only through their…

High Energy Physics - Theory · Physics 2026-02-24 Santiago Agüí Salcedo , Thomas Colas , Lennard Dufner , Enrico Pajer

The big bang model and the history of the early universe according to the grand unified theories are introduced. The shortcomings of big bang are discussed together with their resolution by inflationary cosmology. Inflation, the subsequent…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Lazarides

Starobinsky's $R^2$ inflation manifests a best-fit scenario for the power spectrum of primordial density fluctuations. Observables derived from the slow-roll picture of the $R^2$ model in the Einstein frame relies on the conformal…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-02 Yi-Peng Wu

After a brief summary of decoherence and quantum to classical transition in cosmology we focus on the study of quantum decoherence of cosmological perturbations in inflationary universe, that does not rely on any environment. This is what…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Jen-Tsung Hsiang , Bei-Lok Hu

In order to shed light on the quantum-to-classical transition of the primordial perturbations in single field inflation, we investigate the decoherence and associated quantum corrections to the correlation functions of superhorizon scalar…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-01 Francescopaolo Lopez , Nicola Bartolo

The curvaton and the inhomogeneous reheating scenarios for the generation of the cosmological curvature perturbation on large scales represent an alternative to the standard slow-roll scenario where the observed density perturbations are…

Astrophysics · Physics 2009-11-10 L. Pilo , A. Riotto , A. Zaffaroni

Inflationary cosmology provides a natural mechanism for the generation of primordial perturbations which seed the formation of observed cosmic structure and lead to specific signals of anisotropy in the cosmic microwave background…

Astrophysics · Physics 2011-07-19 Salman Habib , Andreas Heinen , Katrin Heitmann , Gerard Jungman

We investigate the inhomogeneous inflation, in which the space exponentially expands with inhomogeneities, and its cosmological perturbations. The inhomogeneous inflation is realized by introducing scalar fields with spacelike gradients…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-11 Xian Gao , Chao Kang

We carry out a comprehensive analysis of the simplest curvaton model, which is based on two non-interacting massive fields. Our analysis encompasses cases where the inflaton and curvaton both contribute to observable perturbations, and…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-13 Christian T. Byrnes , Marina Cortês , Andrew R. Liddle

We study how the initial inhomogeneities of the spatial curvature affect the onset of inflation in the closed universe. We consider a cosmological model which contains a radiation and a cosmological constant. In order to treat the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 O. Iguchi , H. Ishihara , J. Soda