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In this paper, we investigate a quintessence field with an exponential potential motivated by the suggestion of time-varying dark energy from the DESI galaxy survey. Assuming a kination epoch in the early Universe, we analytically derive…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-14 Naoto Maki , Kazunori Kohri

With a parametric form of the equation of state parameter of dark energy, a quintessence potential has been reconstructed. The potential is found to be a generalization of a double exponential potential. The constraints on the parameters…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Ankan Mukherjee , Narayan Banerjee

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 confront tracker field quintessence with observational data. The potentials considered in this paper include $V(\phi)\propto\phi^{-\alpha}$, $\exp(M_{p}/\phi)$, $\exp(M_{p}/\phi)-1$, $\exp(\beta M_{p}/\phi)$ and $\exp(\gamma…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Pao-Yu Wang , Chien-Wen Chen , Pisin Chen

We study late-time acceleration scenarios using a quintessence field initially trapped in a metastable false vacuum state. The false vacuum has non-zero vacuum energy and could drive exponential expansion if not coupled with gravity. Upon…

General Relativity and Quantum Cosmology · Physics 2025-04-29 Pradosh Keshav M. V. , Arun Kenath

We introduce a unified model of early and late dark energy. We call it {\it quintessential early dark energy} model where early and late dark energy are explained by a single scalar field {\it i.e.}, two different energy scales are related…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-19 Sk. Sohail , Sonej Alam , Shiriny Akthar , Md. Wali Hossain

In this work we determine the correspondence between quintessence and tachyon dark energy models with a constant dark energy equation of state parameter, $w_e$. Although the evolution of both the Hubble parameter and the scalar field…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 P. P. Avelino , L. Losano , J. J. Rodrigues

This paper uses the beta function formalism to extend the analysis of quintessence cosmological parameters to the logarithmic and exponential dark energy potentials. The previous paper (Thompson 2018) demonstrated the formalism using power…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-14 Rodger I. Thompson

Two variable $\Lambda$ models, viz. $\Lambda \sim (\dot a/a)^2$ and $\Lambda \sim \rho$ have been studied under the assumption that the equation of state parameter $\omega$ is a function of time. The selected $\Lambda$ models are found to…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Utpal Mukhopadhyay , Saibal Ray , Farook Rahaman

An alternative dark energy description based on a generalized K-essence scenario is here explored. In particular, we consider a \emph{quasi-quintessence} and/or \emph{quasi-phantom} field, whose pressure does not depend on the kinetic…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-19 Anna Chiara Alfano , Youri Carloni

This paper proposes two phenomenological quintessence potentials with parameters fitted to the presently observed ratio $\rat$ of smooth energy to clustered mass and limits on the equation of state parameter $w_Q(a)=P/\rhoq$, for which the…

Astrophysics · Physics 2015-06-24 S. A. Bludman

We use dynamical systems methods to study quintessence models in a spatially flat and isotropic spacetime with matter and a scalar field with potentials for which $\lambda(\varphi)=-V_{,\varphi}/V$ is bounded, thereby going beyond the…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Artur Alho , Claes Uggla , John Wainwright

We derive expressions for the first and second derivatives of the quintessence potential $V(\phi)$, in terms of $\lambda = -V^{\prime}/V$ and $\Gamma = (V^{\prime \prime}/V)/(V^\prime/V)^2$, as functions of the quintessence density fraction…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Saikat Chakraborty , Peter K. S. Dunsby , Robert J. Scherrer

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

The implications of seven popular models of quintessence based on supergravity or M/string theory for the transition from a decelerating to an accelerating universe are explored. All seven potentials can mimic the LambdaCDM model at low…

Astrophysics · Physics 2010-04-05 Carl L. Gardner

The recent observations of type Ia supernovae strongly support that the universe is accelerating now and decelerated in the recent past. By assuming a general relation between the quintessence potential and the quintessence kinetic energy,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Yungui Gong

As an alternative to the popular parametrisations of the dark energy equation of state, we construct a quintessence model where the scalar field has a linear dependence on the number of e-folds. Constraints on more complex models are…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-17 Vitor da Fonseca , Tiago Barreiro , Nelson J. Nunes

We propose a novel dark-energy equation-of-state parametrization, with a single parameter $\eta$ that quantifies the deviation from $\Lambda$CDM cosmology. We first confront the scenario with various datasets, from Hubble function (OHD),…

General Relativity and Quantum Cosmology · Physics 2024-06-04 J. K. Singh , Preeti Singh , Emmanuel N. Saridakis , Shynaray Myrzakul , Harshna Balhara

We investigate a scenario where a dark energy quintessence field $\phi$ with positive kinetic energy is coupled with dark matter. With two different self-interaction potentials for the field and a particular choice of the coupling function,…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-22 Amlan Chakraborty , Prolay K. Chanda , Subinoy Das , Koushik Dutta

We present a model for the present accelerating Universe and focus on the different important physical variables involved in the model under the phenomenological assumption $\Lambda \propto H^2$ with a prescription for equation of state…

General Physics · Physics 2011-07-15 Saibal Ray , Farook Rahaman , Utpal Mukhopadhyay , Ruby Sarkar