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The curvature perturbations produced during an early era of inflation are known to have quasi-Gaussian distribution functions close to their maximum, where they are well constrained by measurements of the cosmic microwave background…

宇宙学与河外天体物理 · 物理学 2020-09-08 Jose María Ezquiaga , Juan García-Bellido , Vincent Vennin

We conduct a thorough study of the comoving curvature perturbation $\mathcal{R}$ in single-field inflation with two stages, represented by a piecewise quadratic potential, where both the first and second derivatives are allowed to be…

宇宙学与河外天体物理 · 物理学 2025-06-23 Xinpeng Wang , Xiao-Han Ma , Misao Sasaki

We solve time-reversed stochastic inflation in the semi-infinite flat potential with a constant drift term and derive an exact expression for the probability distribution of the curvature fluctuations. It exhibits exponential decaying tails…

宇宙学与河外天体物理 · 物理学 2025-11-27 Baptiste Blachier , Christophe Ringeval

The tail of the distribution of primordial fluctuations (corresponding to the likelihood of realization of large fluctuations) is of interest, from both theoretical and observational perspectives. In particular, it is relevant for the…

宇宙学与河外天体物理 · 物理学 2023-05-31 Sina Hooshangi , Mohammad Hossein Namjoo , Mahdiyar Noorbala

We consider a class of multi-component hybrid inflation models whose evolution may be analytically solved under the slow-roll approximation. We call it multi-brid inflation (or $n$-brid inflation where $n$ stands for the number of inflaton…

天体物理学 · 物理学 2009-10-09 Misao Sasaki

We study the seemingly duality between large and small $\eta_H$ for the constant-roll inflation with the second slow-roll parameter $\eta_H$ being a constant. In the previous studies, only the constant-roll inflationary models with small…

广义相对论与量子宇宙学 · 物理学 2019-11-01 Qing Gao , Yungui Gong , Zhu Yi

We analyse field fluctuations during an Ultra Slow-Roll phase in the stochastic picture of inflation and the resulting non-Gaussian curvature perturbation, fully including the gravitational backreaction of the field's velocity. By working…

广义相对论与量子宇宙学 · 物理学 2021-10-04 Tomislav Prokopec , Gerasimos Rigopoulos

In classical general relativity the Cauchy horizon within a two-horizon black hole is unstable via a phenomenon known as mass inflation, in which the mass parameter (and the spacetime curvature) of the black hole diverges at the Cauchy…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Eric G. Brown , Robert B. Mann , Leonardo Modesto

The scenario of constant-roll inflation in the frame of the RSII brane gravity model is considered. Based on the scenario, the smallness of the second slow-roll parameter is released and it is assumed as a constant which could be of the…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Abolhassan Mohammadi , Tayeb Golanbari , Salah Nasri , Khaled Saaidi

We investigate the constant-roll inflation with non-minimally kinetic coupling to the Einstein tensor. With the slow-roll parameter $\eta_\phi = -\ddot{\phi}/(H\dot{\phi})$ being a constant, we calculate the power spectra for scalar and…

广义相对论与量子宇宙学 · 物理学 2024-07-22 Jie Liu , Yungui Gong , Zhu Yi

This paper considers warm inflation as an interesting application of multi-field inflation. Delta-N formalism is used for the calculation of the evolution of the curvature perturbations during warm inflation. Although the perturbations…

宇宙学与河外天体物理 · 物理学 2010-04-28 Tomohiro Matsuda

In constant-roll inflation, the scalar field that drives the accelerated expansion of the Universe is rolling down its potential at a constant rate. Within this framework, we highlight the relations between the Hubble slow-roll parameters…

宇宙学与河外天体物理 · 物理学 2018-05-08 Alexandros Karam , Luca Marzola , Thomas Pappas , Antonio Racioppi , Kyriakos Tamvakis

We consider models of inflation that contain a transient non-slow-roll stage and investigate the conditions under which a dip appears in the power spectrum of the curvature perturbation. Using the $\delta N$ formalism, we derive a general…

宇宙学与河外天体物理 · 物理学 2025-09-19 Tomohiro Fujita , Ryodai Kawaguchi , Misao Sasaki , Yuichiro Tada

We calculate the trispectrum T_\zeta of the primordial curvature perturbation \zeta, generated during a {\it slow-roll} inflationary epoch by considering a two-field quadratic model of inflation with {\it canonical} kinetic terms. We…

天体物理学 · 物理学 2010-04-15 Yeinzon Rodriguez , Cesar A. Valenzuela-Toledo

There has been considerable recent interest in a new class of non-slow roll inflationary solutions known as \textit{constant roll} inflation. Constant roll solutions are a generalization of the ultra-slow roll (USR) solution, where the…

宇宙学与河外天体物理 · 物理学 2019-10-09 Wei-Chen Lin , Michael J. P. Morse , William H. Kinney

We discuss the constant-roll inflation with constant $\epsilon_2$ and constant $\bar\eta$. By using the method of Bessel function approximation, the analytical expressions for the scalar and tensor power spectra, the scalar and tensor…

广义相对论与量子宇宙学 · 物理学 2018-03-12 Qing Gao

We study a model of two-field ultra-slow-roll (USR) inflation bounded by a curve in the field space. Curvature perturbations and non-Gaussianities can be enhanced both during the USR phase and from the inhomogeneities at the boundary. We…

宇宙学与河外天体物理 · 物理学 2022-09-05 Sina Hooshangi , Alireza Talebian , Mohammad Hossein Namjoo , Hassan Firouzjahi

In this paper we study canonical scalar field models with a varying second slow-roll parameter, that allow transitions between constant-roll eras. In the models with two constant-roll eras it is possible to avoid fine-tunings in the initial…

广义相对论与量子宇宙学 · 物理学 2017-07-26 S. D. Odintsov , V. K. Oikonomou

Slow roll solutions to inflationary potentials have been widely believed to be the only universal attractor. Over the last few years there has been growing interest in a new class of inflationary models known as Constant-Roll Inflation.…

宇宙学与河外天体物理 · 物理学 2018-06-20 Michael J. P. Morse , William H. Kinney

Chromo-Natural Inflation is the first worked example of a model of inflation in which slow-roll inflation is achieved by "magnetic drift" as opposed to Hubble friction. In this work, we give an account of the perturbations at linear order…

高能物理 - 理论 · 物理学 2015-06-15 Peter Adshead , Emil Martinec , Mark Wyman