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Exact analytic solutions for a class of scalar-tensor gravity theories with a hyperbolic scalar potential are presented. Using an exact solution we have successfully constructed a model of inflation that produces the spectral index, the…

High Energy Physics - Theory · Physics 2011-03-23 Itzhak Bars , Shih-Hung Chen

There is by now a large consensus in modern monetary policy. This consensus has been built upon a dynamic general equilibrium model of optimal monetary policy as developed by, e.g., Goodfriend and King (1997), Clarida et al. (1999),…

Chaotic Dynamics · Physics 2009-11-11 Orlando Gomes , Vivaldo M. Mendes , Diana A. Mendes , J. Sousa Ramos

We propose an extension of natural inflation, where the inflaton potential is a general periodic function. Specifically, we study elliptic inflation where the inflaton potential is given by Jacobi elliptic functions, Jacobi theta functions…

High Energy Physics - Phenomenology · Physics 2015-01-21 Tetsutaro Higaki , Fuminobu Takahashi

We discuss the issue of setting appropriate initial conditions for inflation. Specifically, we consider natural inflation model and discuss the fine tuning required for setting almost homogeneous initial conditions over a region of order…

High Energy Physics - Theory · Physics 2021-05-17 Partha Bagchi , Arpan Das , Shreyansh S. Dave , Srikumar Sengupta , Ajit M. Srivastava

Recently, a model of inflation using non-minimally coupled massive vector fields has been proposed. For a particular choice of non-minimal coupling parameter and for a flat FRW model, the model is reduced to the model of chaotic inflation…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Takeshi Chiba

We propose a class of inflation models in which the coefficient of the inflaton kinetic term rapidly changes with energy scale. This may occur especially if the inflaton moves over a long distance during inflation as in the case of…

High Energy Physics - Phenomenology · Physics 2014-11-21 Fuminobu Takahashi

A scalar field with an exponential potential has been proposed as a model of inflation (called power-law inflation). Although it admits an exact solution, the integrability of the system has not been shown.We uncover the hidden symmetries…

General Relativity and Quantum Cosmology · Physics 2024-08-22 Takeshi Chiba , Tsuyoshi Houri

We analyze the forces that explain inflation using a panel of 122 countries from 1997 to 2015 with 37 regressors. 98 models motivated by economic theory are compared to a gradient boosting algorithm, non-linearities and structural breaks…

Applications · Statistics 2022-09-01 Philipp F. M. Baumann , Enzo Rossi , Alexander Volkmann

We develop a medium-size semi-structural time series model of inflation dynamics that is consistent with the view - often expressed by central banks - that three components are important: a trend anchored by long-run expectations, a…

Econometrics · Economics 2025-03-12 Thomas Hasenzagl , Filippo Pellegrino , Lucrezia Reichlin , Giovanni Ricco

The economic shocks that followed the COVID-19 pandemic have brought to light the difficulty, both for academics and policy makers, of describing and predicting the dynamics of inflation. This paper offers an alternative modelling approach.…

General Economics · Economics 2025-05-20 Max Sina Knicker , Karl Naumann-Woleske , Jean-Philippe Bouchaud , Francesco Zamponi

We demonstrate that the intermediate inflation scenario, is a singular inflation cosmology, with the singularity at the origin $t=0$ being a pressure and energy density singularity and particularly a Type III singularity. Also, we show that…

General Relativity and Quantum Cosmology · Physics 2017-03-21 V. K. Oikonomou

The analyticity of response functions and scattering amplitudes implies powerful relations between low-energy observables and the underlying short-distance dynamics. These 'IR/UV' relations are rooted in basic physical principles, such as…

High Energy Physics - Theory · Physics 2016-02-03 Daniel Baumann , Daniel Green , Hayden Lee , Rafael A. Porto

We analyse several saddle point inflationary scenarios based on power-law $f(R)$ models. We investigate inflation resulting from $f(R) = R + \alpha_n M^{2(1-n)}R^n + \alpha_{n+1}M^{-2n}R^{n+1}$ and $f(R) = \sum_n^l \alpha_n M^{2(1-n)} R^n$…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Michal Artymowski , Zygmunt Lalak , Marek Lewicki

We investigate, in a model-independent way, the conditions required to obtain a satisfactory model of extended inflation in which inflation is brought to an end by a first-order phase transition. The constraints are that the correct present…

Astrophysics · Physics 2009-10-28 Anne M Green , Andrew R Liddle

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. We study in detail cosmological perturbations in IG and examine…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 A. Cerioni , F. Finelli , A. Tronconi , G. Venturi

Though entropy production is forbidden in standard FRW Cosmology, Berman and Som presented a simple inflationary model where entropy production by bulk viscosity, during standard inflation without ad hoc pressure terms can be accommodated…

General Physics · Physics 2008-11-26 Marcelo Samuel Berman , Murari M. Som

Inflationary models, especially those with plateau-type potentials, are consistent with the cosmological data, but inflation itself does not resolve the initial singularity. This singularity is resolved, for example, by the idea of the…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Hiroki Matsui , Alexandros Papageorgiou , Fuminobu Takahashi , Takahiro Terada

We consider slow-roll inflationary models in a class of modified theories of gravity which contains non-minimal curvature-inflaton couplings, i.e., the $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of the inflaton…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Che-Yu Chen , Yakefu Reyimuaji , Xinyi Zhang

This paper provides a rigorous and gap-free proof of the index theorem used in the theory of regular economy. In the index theorem that is the subject of this paper, the assumptions for the excess demand function are only several usual…

Theoretical Economics · Economics 2023-06-27 Yuhki Hosoya

The Journal Impact Factor (IF), as a core indicator of academic evaluation, has not been systematically studied in relation to its historical evolution and global macroeconomic environment. This paper employs a period-based regression…

Econometrics · Economics 2026-01-15 Alex Huang