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In this letter we apply dynamical system methods to study all evolutional paths admissible for all initial conditions of the FRW cosmological model with a non-minimally coupled to gravity scalar field and a barotropic fluid. We choose…

天体物理学 · 物理学 2011-07-13 Marek Szydlowski , Orest Hrycyna

We consider the familiar problem of a minimally coupled scalar field with quadratic potential in flat Friedmann-Lema\^itre-Robertson-Walker cosmology to illustrate a number of techniques and tools, which can be applied to a wide range of…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Artur Alho , Claes Uggla

We consider a minimally coupled scalar field with a monomial potential and a perfect fluid in flat FLRW cosmology. We apply local and global dynamical systems techniques to a new three-dimensional dynamical systems reformulation of the…

广义相对论与量子宇宙学 · 物理学 2015-08-05 Artur Alho , Juliette Hell , Claes Uggla

It is an accepted practice in cosmology to invoke a scalar field with potential $V(\phi)$ when observed evolution of the universe cannot be reconciled with theoretical prejudices. Since one function-degree-of-freedom in the expansion factor…

高能物理 - 理论 · 物理学 2008-11-26 T. Padmanabhan

We study scaling symmetry in a class of non-minimally coupled scalar field in a background of Friedmann-Robertson-Walker (FRW) spacetime. We use a non-minimally coupling $R L^{(\varphi)}$. We find the corresponding conserved charge of that…

综合物理 · 物理学 2023-12-25 Malik Al Matwi

We investigate inflation within $f(R,\phi)$-theories, where a dynamical scalar field is coupled to gravity. A class of models which can support early-time acceleration with the emerging of an effective cosmological constant at high…

广义相对论与量子宇宙学 · 物理学 2018-12-13 R. Myrzakulov , L. Sebastiani , S. Vagnozzi

The Friedmann-Robertson-Walker (FRW) cosmology is analyzed with a general potential $\rm V(\phi)$ in the scalar field inflation scenario. The Bohmian approach (a WKB-like formalism) was employed in order to constraint a generic form of…

广义相对论与量子宇宙学 · 物理学 2019-05-01 Omar E. Núñez , J. Socorro , Rafael Hernández-Jiménez

An alternative to a cosmological constant is quintessence, defined as a slowly-varying scalar field potential V(\phi). If quintessence is observationally significant, an epoch of inflation is beginning at the present epoch, with \phi the…

高能物理 - 唯象学 · 物理学 2014-11-17 Christopher Kolda , David H. Lyth

In this paper, we investigate models where a scalar field driving inflation is minimally coupled with gravity and it is subjected to a scalar potential. We present several examples of coupling between the field and gravity, and we furnish…

广义相对论与量子宇宙学 · 物理学 2016-03-01 Shynaray Myrzakul , Ratbay Myrzakulov , Lorenzo Sebastiani

We discuss a model of gravity coupled to a scalar field that admits exact cosmological solutions displaying an inflationary behavior at early times and a power-law expansion at late times.

广义相对论与量子宇宙学 · 物理学 2015-06-19 S. Mignemi , N. Pintus

We investigate spatially flat isotropic cosmological models which contain a scalar field with an exponential potential and a perfect fluid with a linear equation of state. We include an interaction term, through which the energy of the…

天体物理学 · 物理学 2008-11-26 Andrew P. Billyard , Alan A. Coley

Exact models for Bianchi VI0 spacetimes with multiple scalar fields with exponential potentials have been derived and analysed. It has been shown that these solutions, when they exist, attract neighbouring solutions in the two cases…

广义相对论与量子宇宙学 · 物理学 2021-10-20 J. M. Aguirregabiria , P. Labraga , Ruth Lazkoz

Results of a general study on the dynamics of cosmological scalar fields with arbitrary potentials are presented. Exact and approximate attractor solutions are found, with applications to quintessence, moduli stabilization and inflation.

天体物理学 · 物理学 2007-05-23 F. Rosati

In Ref. [1], it was claimed that in the spatially flat cosmological case there exists a unique conserved measure (up to normalization) on the $(\phi,\dot{\phi})$ phase space for scalar field with $m^2\phi^2$ potential by finding a unique…

广义相对论与量子宇宙学 · 物理学 2025-10-31 Yu Han , Long Chen

Cosmological scaling solutions, which give rise to a scalar-field density proportional to a background fluid density during radiation and matter eras, are attractive to alleviate the energy scale problem of dark energy. In the presence of…

广义相对论与量子宇宙学 · 物理学 2010-03-25 Junko Ohashi , Shinji Tsujikawa

We examine models in which the accelerated expansion of the universe is driven by a scalar field rolling near an inflection point in the potential. For the simplest such models, in which the potential is of the form V(\phi) = V_0 + V_3…

宇宙学与河外天体物理 · 物理学 2013-10-30 Hui-Yiing Chang , Robert J. Scherrer

In this paper the scalar-tensor theory of gravity is assumed to describe the evolution of the universe and the gravitational scalar $\phi$ is ascribed to play the role of inflaton. The theory is characterized by the specified coupling…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Mian Wang

The present work is an extensive study of the viable stable solutions of chameleon scalar field models leading to possibilities of an accelerated expansion of the universe. It is found that for various combinations of the chameleon field…

广义相对论与量子宇宙学 · 物理学 2016-01-20 Nandan Roy , Narayan Banerjee

We study the late time evolution of flat and negatively curved FRW models with a perfect fluid matter source and a scalar field having an arbitrary non-negative potential function $V(\phi) .$ We prove using a dynamical systems approach four…

广义相对论与量子宇宙学 · 物理学 2009-11-10 John Miritzis

Several results related to flat Friedmann-Lema\^{\i}tre-Robertson-Walker models in the conformal (Einstein) frame of scalar-tensor gravity theories are extended. Scalar fields with arbitrary (positive) potentials and arbitrary coupling…

广义相对论与量子宇宙学 · 物理学 2014-10-14 Carlos R. Fadragas , Genly Leon