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Related papers: A 3D Phase Space Analysis of Scalar Field Potentia…

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We discuss the dynamics of a quintessence model involving two coupled scalar fields. The model presents two types of solutions, namely solutions that correspond to eternal and transient acceleration of the universe. In both cases, we obtain…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. C. Bento , O. Bertolami , N. C. Santos

The present work deals with a dynamical systems study of quintessence potentials leading to the present accelerated expansion of the universe. The principal interest is to check for late time attractors which give an accelerated expansion…

General Relativity and Quantum Cosmology · Physics 2014-02-28 Nandan Roy , Narayan Banerjee

We use phase space methods to investigate closed, flat, and open Friedmann-Robertson-Walker cosmologies with a scalar potential given by the sum of two exponential terms. The form of the potential is motivated by the dimensional reduction…

High Energy Physics - Theory · Physics 2009-11-10 Laur Jarv , Thomas Mohaupt , Frank Saueressig

We study the dynamics of a quintessence model based on two interacting scalar fields. The model can account for the (recent) accelerated expansion of the Universe suggested by astronomical observations. Acceleration can be permanent or…

Astrophysics · Physics 2010-05-28 M. C. Bento , O. Bertolami , N. C. Santos

We study the phase space for an scalar-tensor string inspired model of dark energy with non minimal kinetic and Gauss Bonnet couplings. The form of the scalar potential and of the coupling terms is of the exponential type, which give rise…

General Relativity and Quantum Cosmology · Physics 2016-10-12 L. N. Granda , E. Loaiza

The scalar field with an exponential potential allows a scaling solution where the the density of the field follows the density of the dominating fluid. Such a scaling regime is often used as an important ingredient in many models of…

Astrophysics · Physics 2010-03-02 J. Hwang , H. Noh

An attractive method of obtaining an effective cosmological constant at the present epoch is through the potential energy of a scalar field. Considering models with a perfect fluid and a scalar field, we classify all potentials for which…

Astrophysics · Physics 2009-07-09 Andrew R Liddle , Robert J Scherrer

We present a phase-space analysis of cosmology containing multiple scalar fields with positive and negative exponential potentials. We show that there exist power-law multi-kinetic-potential scaling solutions for sufficiently flat positive…

High Energy Physics - Theory · Physics 2009-11-10 Zong-Kuan Guo , Yun-Song Piao , Yuan-Zhong Zhang

In this paper, we discuss the dynamics of two- scalar-field cosmological models. Unlike in the situation of exponential potential, we find that there are late-time attractors in which one scalar field dominates the energy density of…

General Relativity and Quantum Cosmology · Physics 2017-11-09 Yu Li

We develop a framework to study the phase space of a system consisting of a scalar field rolling down an arbitrary potential with varying slope and a background fluid, in a cosmological setting. We give analytical approximate solutions of…

Astrophysics · Physics 2008-11-26 S. C. C. Ng , N. J. Nunes , F. Rosati

This study explores the dynamics and phase-space behavior of a multi-component dark energy model, where the dark sector consists of a minimally coupled canonical scalar field and the cosmological constant, using a dynamical system analysis…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Prasanta Sahoo , Nandan Roy , Himadri Shekhar Mondal

We derive a new \emph{regular} dynamical system on a 3-dimensional \emph{compact} state space describing linear scalar perturbations of spatially flat Robertson-Walker geometries for relativistic models with a minimally coupled scalar field…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Artur Alho , Claes Uggla , John Wainwright

One possible description for the current accelerated expansion of the universe is quintessence dynamics. The basic idea of quintessence consists of analyzing cosmological scenarios driven by scalar fields. In this work we present some…

General Relativity and Quantum Cosmology · Physics 2014-04-10 P. H. R. S. Moraes , J. R. L. Santos

We present general exact solutions for two classes of exponential potentials in scalar field models for quintessence. The coupling is minimal and we consider only dust and scalar field. To some extent, it is possible to reproduce…

Astrophysics · Physics 2008-11-26 C. Rubano , P. Scudellaro

Dynamical system analysis of a universe model which contains matter, radiation, and quintessence with exponential potential, $V \!(\phi)=V_{\!o} \, exp(-\alpha \kappa \phi) \,$, is studied in the light of recent observations and the…

General Relativity and Quantum Cosmology · Physics 2020-02-18 A. Savaş Arapoğlu , A. Emrah Yükselci

We have reinvestigated the quintessence model with minimally coupled scalar field in the context of recent Supernova observation at $z=1.7$. By assuming the form of the scale factor which gives both the early time deceleration and late time…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. A. Sen , S. Sethi

We study models of quintessence consisting of a number of scalar fields coupled to several dark matter components. In the case of exponential potentials the scaling solutions can be described in terms of a single field. The corresponding…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-15 Luca Amendola , Tiago Barreiro , Nelson J. Nunes

The main aim of this paper is to present the multi scalar field components as candidates to be the dark energy of the universe and their observational constraints. We start with the canonical Quintessence and Phantom fields with quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-12 J. Alberto Vázquez , David Tamayo , Gabriela Garcia-Arroyo , Isidro Gómez-Vargas , Israel Quiros , Anjan A. Sen

We present a phase-space analysis of cosmology containing multiple scalar fields with a positive or negative cross-coupling exponential potential. We show that there exist power-law kinetic-potential-scaling solutions for a sufficiently…

High Energy Physics - Theory · Physics 2007-05-23 Zong-Kuan Guo , Yun-Song Piao , Rong-Gen Cai , Yuan-Zhong Zhang

We perform a detailed study of the phase-space of the field equations of an Einstein-Gauss-Bonnet scalar field cosmology for a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime. For the scalar field potential, we consider…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Alfredo D. Millano , Genly Leon , Andronikos Paliathanasis
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