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Slow-roll inflation is analyzed in the context of modified gravity within the Palatini formalism. As shown in the literature, inflation in this framework requires the presence of non-traceless matter, otherwise it does not occur just as a…

广义相对论与量子宇宙学 · 物理学 2020-11-30 Sabit Bekov , Kairat Myrzakulov , Ratbay Myrzakulov , Diego Sáez-Chillón Gómez

We extend a previous analysis concerning cosmological fluids with generalized equations of state in order to study inflationary scenarios. In the framework of the slow-roll approximation we find the expressions for the perturbation…

天体物理学 · 物理学 2009-10-28 G. Mangano , G. Miele , C. Stornaiolo

We study single field slow-roll inflation in the presence of $F(R)$ gravity in the Palatini formulation. In contrast to metric $F(R)$, when rewritten in terms of an auxiliary field and moved to the Einstein frame, Palatini $F(R)$ does not…

广义相对论与量子宇宙学 · 物理学 2022-07-12 Christian Dioguardi , Antonio Racioppi , Eemeli Tomberg

In this work, we studied the slow-roll approximation of cosmic inflation within the context of $f(R,T)$ gravity, where $R$ is the scalar curvature, and $T$ is the trace of the energy-momentum tensor. By choosing a minimal coupling between…

广义相对论与量子宇宙学 · 物理学 2021-01-12 Mauricio Gamonal

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…

广义相对论与量子宇宙学 · 物理学 2024-11-01 Zhe Feng

In this letter we shall provide a formal derivation of the inflationary slow-roll indices for $F(R)$ gravity from the power spectrum without the condition $\dot{\epsilon}_1=0$, frequently used in the literature, where…

广义相对论与量子宇宙学 · 物理学 2020-08-26 V. K. Oikonomou

We consider a generic class of the so-called inflationary $-\alpha$ attractor models and compute the cosmological observables in the Einstein and Jordan frames, of the corresponding $F(R)-$gravity theory. We find that the two sets coincide…

高能物理 - 理论 · 物理学 2017-09-06 A. Kuiroukidis

By using the relations between the slow-roll parameters and the power spectrum for the single field slow-roll inflation, we derive the scalar spectral tilt $n_s$ and the tensor to scalar ratio $r$ for the constant slow-roll inflation and…

宇宙学与河外天体物理 · 物理学 2017-09-06 Qing Gao

We consider the classical wave equation with a thermal and Starobinsky-Vilenkin noise which in a slow-roll and long wave approximation describes the quantum fluctuations of the graviton-inflaton system in an expanding metric. We investigate…

广义相对论与量子宇宙学 · 物理学 2019-11-13 Z. Haba

We revisit the notion of slow-roll in the context of general single-field inflation. As a generalization of slow-roll dynamics, we consider an inflaton $\phi$ in an attractor phase where the time derivative of $\phi$ is determined by a…

宇宙学与河外天体物理 · 物理学 2015-06-17 Jinn-Ouk Gong , Misao Sasaki

As an extension of our previous study, we derive slow-roll conditions for multiple scalar fields which are non-minimally coupled with gravity and for generalized gravity theories of the form $f(\phi,R)$. We provide simple formulae of the…

天体物理学 · 物理学 2009-11-18 Takeshi Chiba , Masahide Yamaguchi

The viability of slow-roll approximation is examined by considering the structure of phase spaces in scalar-tensor theories of gravitation and the analysis is exemplified with a nonminimally coupled scalar field to the spacetime curvature.…

广义相对论与量子宇宙学 · 物理学 2020-07-22 Kemal Akın , A. Savaş Arapoğlu , A. Emrah Yükselci

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…

广义相对论与量子宇宙学 · 物理学 2022-11-07 Che-Yu Chen , Yakefu Reyimuaji , Xinyi Zhang

In this article, we explore the concept of cosmological inflation within the framework of the $f (T,\mathcal{T})$ theory of gravity, where $f$ is a general function of the Torsion scalar $T$ and the trace, $\mathcal{T}$, of the…

广义相对论与量子宇宙学 · 物理学 2023-11-14 Aaqid Bhat , Sanjay Mandal , P. K. Sahoo

$F(R)$ inflationary models are analyzed without the Weyl transformation to the Einstein frame. Sufficient conditions for existence of global inflationary attractors in $F(R)$ models are provided. Following that, the procedure for…

广义相对论与量子宇宙学 · 物理学 2025-08-26 Vsevolod R. Ivanov

Many alternatives to canonical slow-roll inflation have been proposed over the years, one of the main motivations being to have a model, capable of generating observable values of non-Gaussianity. In this work, we (re-)explore the physical…

高能物理 - 理论 · 物理学 2016-07-06 David Pirtskhalava , Luca Santoni , Enrico Trincherini

The previously introduced class of two-parametric phenomenological inflationary models in General Relativity in which the slow-roll assumption is replaced by the more general, constant-roll condition is generalized to the case of $f(R)$…

宇宙学与河外天体物理 · 物理学 2017-08-15 Hayato Motohashi , Alexei A. Starobinsky

In [arXiv:1102.1513] we introduced an inflationary scenario, Non-Abelian Gauge Field Inflation or gauge-flation for short, in which slow-roll inflation is driven by non-Abelian gauge field minimally coupled to gravity. We present a more…

高能物理 - 唯象学 · 物理学 2015-03-18 A. Maleknejad , M. M. Sheikh-Jabbari

In this paper we consider the $\alpha-$attractor model and study inflation under a non-slow-roll dynamics. More precisely, we follow the approach recently proposed by Gong and Sasaki \cite{Gong:2015ypa} by means of assuming…

广义相对论与量子宇宙学 · 物理学 2016-04-05 K. Sravan Kumar , João Marto , Paulo Vargas Moniz , Suratna Das

We consider a formulation of gauge field theory where the gauge field $A_\alpha$ and the field strength $F_{\alpha\beta}$ are independent variables, as in the Palatini formulation of gravity. For the simplest gauge field action, this is…

宇宙学与河外天体物理 · 物理学 2023-01-30 Syksy Rasanen , Yosef Verbin
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