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Dynamical systems methods are used to investigate cosmological model with non-minimally coupled scalar field. Existence of an asymptotically unstable de Sitter state distinguishes values of the non-minimal coupling constant parameter…

广义相对论与量子宇宙学 · 物理学 2017-05-31 Orest Hrycyna

Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. A. Coley

A homogeneous and isotropic quantum cosmological system (universe) initially filled with a uniform scalar field that has a potential in the power law representation is considered. Depending on the epoch, this scalar field yields barotropic…

广义相对论与量子宇宙学 · 物理学 2025-10-20 V. E. Kuzmichev , V. V. Kuzmichev

Within the framework of scalar-non-metricity gravity, we introduce a steep potential together with a power-law coupling function and investigate whether the acceleration phases of the universe can be consistently described by this model. In…

广义相对论与量子宇宙学 · 物理学 2025-10-06 Ghulam Murtaza , Avik De , Andronikos Paliathanasis

In this paper, we study the cosmological dynamics of scalar fields with O(N) symmetry in general potentials. We compare the phase space of the dynamical systems of the quintessence and phantom and give the conditions for the existence of…

天体物理学 · 物理学 2009-11-10 Jian-gang Hao , Xin-zhou Li

We investigate the cosmological dynamics of non-minimally coupled scalar field system described by $F(\phi)R$ coupling with $F(\phi)=(1-\xi\phi^N)R$($N\ge2$) and the field potential, $V(\phi)=V_0\phi^n$. We use a generic set of dynamical…

高能物理 - 理论 · 物理学 2013-05-30 M. Sami , M. Shahalam , M. Skugoreva , A. Toporensky

We consider a multiplicatively renormalizable higher-derivative scalar theory which is used as an effective theory for quantum gravity at large distances (infrared phase of quantum gravity). The asymptotic regimes (in particular, the…

高能物理 - 理论 · 物理学 2010-04-06 E. Elizalde , S. D. Odintsov , I. L. Shapiro

In this article, we investigate scalar field cosmology in the coincident $f(Q)$ gravity formalism. We calculate the motion equations of $f(Q)$ gravity under the flat Friedmann-Lema\^{i}tre-Robertson-Walker background in the presence of a…

广义相对论与量子宇宙学 · 物理学 2024-04-12 Sayantan Ghosh , Raja Solanki , P. K. Sahoo

Several isotropic, homogeneous cosmological models containing a self-interacting minimally coupled scalar field, a perfect fluid source and cosmological constant are solved. New exact, asymptotically stable solutions with an inflationary…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Luis P. Chimento , Alejandro S. Jakubi

We consider here the dynamics of some homogeneous and isotropic cosmological models with $N$ interacting classical scalar fields non-minimally coupled to the spacetime curvature, as an attempt to generalize some recent results obtained for…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. Brenig , A. Figueiredo , E. Gunzig , T. M. Rocha Filho , Alberto Saa

We study generic solutions in a non-minimally coupled to gravity scalar field cosmology. It is shown that dynamics for both canonical and phantoms scalar fields with the potential can be reduced to the dynamical system from which the exact…

宇宙学与河外天体物理 · 物理学 2010-11-11 Orest Hrycyna , Marek Szydlowski

We investigate the cosmological dynamics in a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker geometry in scalar-tensor and scalar-torsion theories where the nonminimally coupled scalar field is a complex field. We derive the…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Andronikos Paliathanasis

We present a detailed investigation of the dynamical behavior of mimetic gravity with a general potential for the mimetic scalar field. Performing a phase-space and stability analysis, we show that the scenario at hand can successfully…

广义相对论与量子宇宙学 · 物理学 2018-12-13 Jibitesh Dutta , Wompherdeiki Khyllep , Emmanuel N. Saridakis , Nicola Tamanini , Sunny Vagnozzi

We analyze the dynamics of dissipation and relaxation in the unbroken and broken symmetry phases of scalar theory in the nonlinear regime for large initial energy densities, and after linear unstabilities (parametric or spinodal) are…

高能物理 - 唯象学 · 物理学 2009-10-30 D. Boyanovsky , C. Destri , H. J. de Vega , R. Holman , J. F. J. Salgado

We explore a novel cosmological model based on coupled fields in the framework of scalar tensor theories, considering the specific interplay between gravity and scalar fields. The model further extends a recent axion-dilaton system by…

广义相对论与量子宇宙学 · 物理学 2025-11-25 Mihai Marciu

Scalar fields with inverse power-law effective potentials may provide a negative pressure component to the energy density of the universe today, as required by cosmological observations. In order to be cosmologically relevant today, the…

高能物理 - 唯象学 · 物理学 2016-09-06 Nicola Bartolo , Massimo Pietroni

We consider a dynamical approach to the cosmological constant. There is a scalar field with a potential whose minimum occurs at a generic, but negative, value for the vacuum energy, and it has a non-standard kinetic term whose coefficient…

高能物理 - 理论 · 物理学 2016-09-06 Shinji Mukohyama , Lisa Randall

We study the cosmology of a covariant scalar field respecting a Galilean symmetry in flat space-time. We show the existence of a tracker solution that finally approaches a de Sitter fixed point responsible for cosmic acceleration today. The…

宇宙学与河外天体物理 · 物理学 2014-11-21 Antonio De Felice , Shinji Tsujikawa

The dynamics of homogeneous Robertson--Walker cosmological models with a self-interacting scalar field source is examined here in full generality, requiring only the scalar field potential to be bounded from below and divergent when the…

广义相对论与量子宇宙学 · 物理学 2009-01-16 Roberto Giambó , Fabio Giannoni , Giulio Magli

In this paper we consider a scalar field system with a class of potentials given by the expression, $V(\phi)\propto \phi^m {\rm exp}({-\lambda \phi^n/{M^n_{Pl}}})$; $m\geqslant 0, n>1$ for which $\Gamma=V_{\phi \phi}V/V^2_{\phi}\to 1 $ as…

广义相对论与量子宇宙学 · 物理学 2019-08-14 M. A. Skugoreva , M. Sami , N. Jaman