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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 present a new parameterization of quintessence potentials for dark energy based directly upon the dynamical properties of the equations of motion. Such parameterization arises naturally once the equations of motion are written as a…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Nandan Roy , Alma X. Gonzalez-Morales , L. Arturo Urena-Lopez

Considerable work has been devoted to the question of how to best parameterize the properties of dark energy, in particular its equation of state w. We argue that, in the absence of a compelling model for dark energy, the parameterizations…

Astrophysics · Physics 2009-09-29 Dragan Huterer , Glenn Starkman

We introduce a set of two-parameter models for the dark energy equation of state (EOS) $w(z)$ to investigate time-varying dark energy. The models are classified into two types according to their boundary behaviors at the redshift…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Qing-Jun Zhang , Yue-Liang Wu

We present a general parametrization for energy density of a quintessence field, a minimally coupled canonical scalar field which rolls down slowly during the late time. This parametrization can mimic all classes of quintessence dynamics,…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-09 Shiriny Akthar , Md. Wali Hossain

Mapping the behaviour of dark energy is a pressing task for observational cosmology. Phenomenological classification divides dynamical dark energy models into freezing and thawing, depending on whether the dark energy equation of state is…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-11 J. M. A. Vilas Boas , D. M. N. Magano , C. J. A. P. Martins , A. Barbecho , C. Serrano

We propose a new approach to the consistency test of dark energy models with observations. To test a category of dark energy models, we suggest introducing a characteristic Q(z) that in general varies with the redshift z but in those models…

Astrophysics · Physics 2009-11-25 Je-An Gu , Chien-Wen Chen , Pisin Chen

In this paper we investigate a new phenomenological parameterization for unified dark matter and dark energy based on the polynomial expansion of the barotropic equation of state parameter $w$. Our parameterization provides well-behaving…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Zahra Davari , Mohammad Malekjani , Michal Artymowski

An important issue in cosmology is reconstructing the effective dark energy equation of state directly from observations. With so few physically motivated models, future dark energy studies cannot only be based on constraining a dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Chris Clarkson , Caroline Zunckel

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 propose a model-independent parametrization of dark energy motivated by thermodynamics. To this aim, we consider Pad\'e polynomials to reconstruct the form of deceleration parameter adequate to describe different epochs of cosmic history…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-24 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

Nearly all proposed tests for the nature of dark energy measure some combination of four fundamental observables: the Hubble parameter H(z), the distance-redshift relation d(z), the age-redshift relation t(z), or the linear growth factor…

Astrophysics · Physics 2009-11-13 David H. Weinberg

A comparative study of various parametrizations of the dark energy equation of state $w(z)$ and its variation with the redshift is made. Astrophysical constraints from 'integrated tracking' are laid down to test the physical viability and…

Astrophysics · Physics 2007-05-23 Vinod B. Johri

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 have calculated constraints on the evolution of the equation of state of the dark energy, w(z), from a joint analysis of data from the cosmic microwave background, large scale structure and type-Ia supernovae. In order to probe the…

Astrophysics · Physics 2009-11-10 Steen Hannestad , Edvard Mortsell

Observational constraints on time-varying dark energy ({\it e.g.}, quintessence) are commonly presented on a $w_0$-$w_a$ plot that assumes the equation of state of dark energy strictly satisfies $w(z)= w_0+ w_a z/(1+z)$ as a function of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 David Shlivko , Paul Steinhardt

In this work we discuss observational aspects of three time-dependent parameterisations of the dark energy equation of state $w(z)$. In order to determine the dynamics associated with these models, we calculate their background evolution…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-09 Celia Escamilla-Rivera , Luciano Casarini , Julio C. Fabris , Jailson S. Alcaniz

The formalism of dark energy based on modeling speed of sound as a function of equation of state parameter is elaborated. A specific model which allows detailed study of cosmological constant boundary crossing is introduced and analytical…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Dalibor Perkovic , Hrvoje Stefancic

The absence of compelling theoretical model requires the parameterizing the dark energy to probe its properties. The parametrization of the equation of state of the dark energy is a common method. We explore the theoretical optimization of…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-11 Seokcheon Lee

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
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