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In this paper, we explore the inflationary dynamics of the $\beta$-exponential potential model, where a scalar field couples to quadratic $(R + R^2)$ gravity. In this model, the inflaton is the field that determines the size of the extra…

广义相对论与量子宇宙学 · 物理学 2026-01-15 Ozan Sargın

In models like axion monodromy, temporal features during inflation which are not associated with its ending can produce scalar, and to a lesser extent, tensor power spectra where deviations from scale-free power law spectra can be as large…

宇宙学与河外天体物理 · 物理学 2015-08-31 Hayato Motohashi , Wayne Hu

We report on a new class of fast-roll inflationary models. In a huge part of its parameter space, inflationary perturbations exhibit quite unusual phenomena such as scalar and tensor modes freezing out at widely different times, as well as…

宇宙学与河外天体物理 · 物理学 2010-04-30 Pascal M. Vaudrevange , Dmitry I. Podolsky , Glenn D. Starkman

Stochastic inflation describes the global structure of the inflationary universe by modeling the super-Hubble dynamics as a system of matter fields coupled to gravity where the sub-Hubble field fluctuations induce a stochastic force into…

高能物理 - 理论 · 物理学 2008-11-26 Andrew J. Tolley , Mark Wyman

We investigate the slow-roll inflation in the nonminimal derivative coupling (NDC) model with exponential, quadric, and quartic potentials. It was known that this model provides an enhanced slow-roll inflation induced by gravitationally…

广义相对论与量子宇宙学 · 物理学 2015-10-14 Yun Soo Myung , Taeyoon Moon , Bum-Hoon Lee

We study the complete evolution of a flat and homogeneous universe dominated by tachyonic matter. We demonstrate the attractor behaviour of the tachyonic inflation using the Hamilton-Jacobi formalism. We else obtain analytical…

高能物理 - 唯象学 · 物理学 2007-05-23 Zong-Kuan Guo , Yun-Song Piao , Rong-Gen Cai , Yuan-Zhong Zhang

An extremely fast exponential expansion of the Universe is typical for the stable version of the inflationary model, based on the anomaly-induced action of gravity. The total amount of exponential $e$-folds could be very large, before the…

高能物理 - 理论 · 物理学 2021-08-05 Wagno Cesar e Silva , Ilya L. Shapiro

We study the entire coupled evolution of the inflaton and the scale factor for general initial conditions at a given initial time. The generic early universe evolution has three stages: decelerated fast-roll followed by inflationary fast…

宇宙学与河外天体物理 · 物理学 2010-04-30 C. Destri , H. J. de Vega , N. G. Sanchez

In this work, we study a constant-roll inflationary model in the Palatini formalism using modified gravity. Here our action consists a non-minimal coupling of a scalar field $\phi$ with Ricci scalar $R$ in a general form of $f(R,\phi)$.…

广义相对论与量子宇宙学 · 物理学 2023-04-19 Sukanta Panda , Arun Rana , Rahul Thakur

In this paper, we would like to examine whether stable de Sitter inflationary solutions appear within power-law extensions of the Starobinsky model. In particular, we will address general constraints for the existence along with the…

广义相对论与量子宇宙学 · 物理学 2024-08-01 Tuyen M. Pham , Duy H. Nguyen , Tuan Q. Do , W. F. Kao

The spectral index of scalar perturbations is an important observable that allows us to learn about inflationary physics. In particular, a detection of a significant deviation from a constant spectral index could enable us to rule out the…

宇宙学与河外天体物理 · 物理学 2019-11-06 J. P. P. Vieira , Christian T. Byrnes , Antony Lewis

In this article we study a constant-roll inflationary model in the context of brane-world cosmology caused by a quintessence scalar field for warm inflation with a constant dissipative parameter Q =$\Gamma$/3H. We determine the analytical…

广义相对论与量子宇宙学 · 物理学 2022-01-11 Mohammad Reza Setare , Arvin Ravanpak , Karam Bahari , Golnaz Farpour Fadakar

We extend previous classifications of inflationary models by means of their behaviour at large-N, where N is the number of e-foldings. In addition to the perturbative 1/N case, whose slow-roll parameters fall off as powers of 1/N, we…

宇宙学与河外天体物理 · 物理学 2015-06-18 Juan Garcia-Bellido , Diederik Roest

Dynamical systems studies of differential equations often focus on the behavior of solutions near critical points and on invariant manifolds, to elucidate the organization of the associated flow. In addition, effective methods, such as the…

动力系统 · 数学 2015-05-13 Judy Day , Jonathan Rubin , Carson C. Chow

In our paper we consider the validity of slow-roll approximations for Gauss-Bonnet inflation introduced in [1]. In contrast to the cited paper where the coupling function before the Gauss-Bonnet term have been chosen as a decaying function…

广义相对论与量子宇宙学 · 物理学 2026-02-02 Bogdan A. Rudenko , Maria A. Skugoreva , Alexey V. Toporensky

Slow roll reconstruction is derived from the Hamilton-Jacobi formulation of inflationary dynamics. It automatically includes information from sub-leading terms in slow roll, and facilitatesthe inclusion of priors based on the duration on…

天体物理学 · 物理学 2009-06-23 Peter Adshead , Richard Easther

As is well known, the non-Gaussianity parameter $f_{_{\rm NL}}$, which is often used to characterize the amplitude of the scalar bi-spectrum, can be expressed completely in terms of the scalar spectral index $n_{\rm s}$ in the squeezed…

宇宙学与河外天体物理 · 物理学 2015-06-23 V. Sreenath , Dhiraj Kumar Hazra , L. Sriramkumar

We study the one-loop corrections in power spectrum of long gravitational waves induced from small scale modes in the models of single field inflation undergoing a phase of ultra-slow-roll (USR). We show that the spectrum of long tensor…

宇宙学与河外天体物理 · 物理学 2024-12-05 Hassan Firouzjahi

Buoyancy-driven convection is likely the dominant driver of turbulent motions in the universe, and thus, is widely studied by physicists, engineers, geophysicists and astrophysicists. Maybe unsurprisingly, these different communities…

流体动力学 · 物理学 2020-09-09 Jonathan M. Aurnou , Susanne Horn , Keith Julien

We investigate in detail the implications of the constant-roll condition on the inflationary era of a scalar field coupled to a teleparallel $f(T)$ gravity. The resulting cosmological equations constitute a reconstruction technique which…

广义相对论与量子宇宙学 · 物理学 2018-07-17 A. Awad , W. El Hanafy , G. G. L. Nashed , S. D. Odintsov , V. K. Oikonomou