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We revise the stability of the tracking solutions and briefly review the potentials of quintessence models. We discuss the evolution of linear perturbations for $V(\phi) = V_{0} \exp(\lambda \phi^2/2)$ potential in which the scalar field is…

Astrophysics · Physics 2016-11-09 Seokcheon Lee

The phase space analysis of cosmological parameters $\Omega_{\phi}$ and $\gamma_{\phi}$ is given. Based on this, the well-known quintessence cosmology is studied with an exponential potential $V(\phi)=V_{0}\exp(-\lambda\phi)$. Given…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Jing-Zhao Qi , Ming-Jian Zhang , Wen-Biao Liu

We perform a comparison of the WMAP measurements with the predictions of quintessence cosmological models of dark energy. We consider a wide range of quintessence models, including: a constant equation-of-state; a simply-parametrized,…

Astrophysics · Physics 2007-05-23 Michael Doran

We use stellar structure dynamics arguments to extract bounds on the relevant parameters of scalar field models: the putative scalar field mediator of a fifth force with a Yukawa potential, the new variable mass particle (VAMP) models, and…

Astrophysics · Physics 2009-11-10 O. Bertolami , J. Paramos

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

An extremely light ($m_{\phi} \ll 10^{-33} {\rm eV}$), slowly-varying scalar field $\phi $ (quintessence) with a potential energy density as large as 60% of the critical density has been proposed as the origin of the accelerated expansion…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Horvat

The main aim of this paper is to analyse minimally-coupled scalar-fields -- quintessence and phantom -- as the main candidates to explain the accelerated expansion of the universe and compare its observables to current cosmological…

General Relativity and Quantum Cosmology · Physics 2021-02-10 J. Alberto Vázquez , David Tamayo , Anjan A. Sen , Israel Quiros

Many cosmological models invoke rolling scalar fields to account for the observed acceleration of the expansion of the universe. These theories generally include a potential V(phi) which is a function of the scalar field phi. Although…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Rodger I. Thompson , C. J. A. P. Martins , P. E. Vielzeuf

We examine the simplest inflection point quintessence model, with a potential given by $V(\phi) = V_0 + V_3 \phi^3$. This model can produce either asymptotic de Sitter expansion or transient acceleration, and we show that it does not…

General Relativity and Quantum Cosmology · Physics 2022-08-08 S. David Storm , Robert J. Scherrer

In this work we propose a new analytical method for determining the scalar field potential $V(\phi)$ in FRW type cosmologies containing a mixture of perfect fluid plus a quintessence scalar field. By assuming that the equation of state…

General Relativity and Quantum Cosmology · Physics 2008-06-23 J. A. Espichán Carrillo , J. M. Silva , J. A. S. Lima

We study the cosmological evolution of scalar fields that arise from a phase transition at some energy scale $\Lm_c$. We focus on negative power potentials given by $V=c\Lm_c^{4+n}\phi^{-n}$ and restrict the cosmological viable values of…

Astrophysics · Physics 2009-11-07 A. de la Macorra , C. Stephan-Otto

The framework for considering the astronomical and cosmological observations in the context of scalar-tensor quintessence in which the quintessence field also accounts for a time dependence of the gravitational constant is developed. The…

Astrophysics · Physics 2010-05-28 Alain Riazuelo , Jean-Philippe Uzan

We use some of the recently released observational data to test the viability of two classes of minimally coupled scalar field models of quintessence with exponential potentials for which exact solutions of the Einstein equations are known.…

Astrophysics · Physics 2009-11-10 M. Demianski , E. Piedipalumbo , C. Rubano , C. Tortora

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

We obtain constraints on quintessence models from magnitude-redshift measurements of 176 type Ia Supernovae. The considered quintessence models are ordinary quintessence, with Ratra-Peebles and SUGRA potentials, and extended quintessence…

Astrophysics · Physics 2009-11-10 Paolo Caresia , Sabino Matarrese , Lauro Moscardini

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 quest for understanding the late-time acceleration is haunted by an immense freedom in the analysis of dynamical models for dark energy in extended parameter spaces. Often-times having no prior knowledge at our disposal, arbitrary…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-12 Federico Tosone , Balakrishna S. Haridasu , Vladimir V. Luković , Nicola Vittorio

We constrain the scalar field dark energy model with an inverse power-law potential, i.e., $V(\phi)\propto {\phi}^{-\alpha}$ ($\alpha>0$), from a set of recent cosmological observations by compiling an updated sample of Hubble parameter…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-10 Yun Chen , Chao-Qiang Geng , Shuo Cao , Yu-Mei Huang , Zong-Hong Zhu

We consider a scenario where a scalar field has dynamics ruled by an exponential potential, such as those arising from some quintessence type models, and aim at obtaining phenomenological manifestations of this entity within our Solar…

Astrophysics · Physics 2008-11-26 J. Paramos , O. Bertolami

We confront two types of phantom dark energy potential with observational data. The models we consider are the power-law potential, $V\propto {\phi}^{\mu}$, and the exponential potential, $V\propto \exp({\lambda}{\phi}/{M_P})$. We fit the…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-03 Pao-Yu Wang , Chien-Wen Chen , Pisin Chen