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The time variation of the equation of state $w$ for quintessence scenario with a scalar field as dark energy is studied up to the third derivative ($d^3w/da^3$) with respect to the scale factor $a$, in order to predict the future…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-10 Tetsuya Hara

For two types of quintessence models having thawing and tracking properties, there exist analytic solutions for the dark energy equation of state w expressed in terms of several free parameters. We put observational bounds on the parameters…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-12 Takeshi Chiba , Antonio De Felice , Shinji Tsujikawa

The time evolution of the equation of state $w$ for quintessence models with a scalar field as dark energy is studied up to the third derivative ($d^3w/da^3$) with respect to the scale factor $a$, in order to predict the future observations…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-11 Yusuke Muromachi , Akira Okabayashi , Daiki Okada , Tetsuya Hara , Yutaka Itoh

The recent GW170817 measurement favors the simplest dark energy models, such as a single scalar field. Quintessence models can be classified in two classes, freezing and thawing, depending on whether the equation of state decreases towards…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-14 Jean-Baptiste Durrive , Junpei Ooba , Kiyotomo Ichiki , Naoshi Sugiyama

The thawing quintessence model with a nearly flat potential provides a natural mechanism to produce an equation of state parameter, w, close to -1 today. We examine the behavior of such models for the case in which the potential satisfies…

Astrophysics · Physics 2008-11-26 Robert J. Scherrer , A. A. Sen

Quintessence is a canonical scalar field introduced to explain the late-time cosmic acceleration. The cosmological dynamics of quintessence is reviewed, paying particular attention to the evolution of the dark energy equation of state w.…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Shinji Tsujikawa

New constraints on the expansion rate of the Universe seem to favor evolving dark energy in the form of thawing quintessence models, i.e., models for which a canonical, minimally coupled scalar field has, at late times, begun to evolve away…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-06 William J. Wolf , Carlos García-García , Deaglan J. Bartlett , Pedro G. Ferreira

We examine the evolution of quintessence models with potentials satisfying (V'/V)^2<<1 and V"/V<<1, in the case where the initial field velocity is nonzero. We derive an analytic approximation for the evolution of the equation of state…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Sourish Dutta , Robert J. Scherrer

We consider different classes of scalar field models including quintessence, and tachyon scalar fields with a variety of generic potential belonging to thawing type. Assuming the scalar field is initially frozen at $w=-1$, we evolve the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 S. Sen , A. A. Sen , M. Sami

Quintessence, a scalar field model, has been proposed to account for the acceleration of the Universe at present. We discuss how accurately quintessence models are discriminated by future cosmological surveys, which include experiments of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Yoshitaka Takeuchi , Kiyotomo Ichiki , Tomo Takahashi , Masahide Yamaguchi

We use a dynamical systems approach to study thawing quintessence models, using a multi-parameter extension of the exponential potential which can approximate the form of typical thawing potentials. We impose observational constraints using…

Astrophysics · Physics 2009-07-13 Timothy G Clemson , Andrew R Liddle

We derive slow-roll conditions for thawing quintessence. We solve the equation of motion of $\phi$ for a Taylor expanded potential (up to the quadratic order) in the limit where the equation of state $w$ is close to -1 to derive the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Takeshi Chiba

Thawing quintessence scalar field models with the various potential forms to explain the late-time cosmic acceleration are compared to the {\Lambda}CDM model in detail by analyzing cosmological parameters with a set of observational data…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-11 Fereshteh Felegary , Kazuharu Bamba

We study the evolution of spatial curvature for thawing class of dark energy models. We examine the evolution of the equation of state parameter, $w_\phi$, as a function of the scale factor $a$, for the case in which the scalar field $\phi$…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-27 Sergio del Campo , Victor H. Cardenas , Ramon Herrera

We look at observational constraints on the thawing class of scalar field models proposed to explain the late time acceleration of the universe. Using the recently introduced `Statefinder Hierarchy', we compare these thawing class of models…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Gaveshna Gupta , Subhabrata Majumdar , Anjan A Sen

Time-varying dark energy is often modeled in observational analyses through generic parameterizations of its equation of state $w(z)$, which typically use two free parameters $\{w_0, w_a\}$ to span a broad range of behaviors as a function…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-27 David Shlivko , Paul J. Steinhardt , Charles L. Steinhardt

Dark energy equation of state $w(z)$ parametrizations with two parameters and given monotonicity are generically either convex or concave functions. This makes them suitable for fitting either freezing or thawing quintessence models but not…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-11 G. Pantazis , S. Nesseris , L. Perivolaropoulos

We explore freezing dark energy, where the evolution of the field approaches that of a cosmological constant at late times. We propose two general, two parameter forms to describe the class of freezing field models, in analogy to ones for…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-22 Eric V. Linder

We investigate theoretical and observational aspects of a time-dependent parameterization for the dark energy equation of state (EoS) $w(z)$, which is a well behaved function of the redshift $z$ over the entire cosmological evolution, i.e.,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 E. M. Barboza , J. S. Alcaniz , B. Santos

The dark energy that appears to produce the accelerating expansion of the universe can be characterized by an equation of state p=w\rho with w<-1/3. A number of observational tests have been proposed to study the value or redshift…

Astrophysics · Physics 2009-11-07 Jens Kujat , Angela M. Linn , Robert J. Scherrer , David H. Weinberg
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