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We discuss an alternative approach to quintessence modifying the usual equation of state of the cosmological fluid in order to see if going further than the approximation of perfect fluid allows to better reproduce the available data. We…

Astrophysics · Physics 2008-11-26 S. Capozziello , V. F. Cardone , S. Carloni , S. De Martino , M. Falanga , A. Troisi , M. Bruni

A linear relationship between the Hubble expansion parameter and the time derivative of the scalar field is explored in order to derive exact cosmological, attractor-like solutions, both in Einstein's theory and in Brans-Dicke gravity with…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Olga Arias , Tame Gonzalez , Yoelsy Leyva , Israel Quiros

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

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

Cosmological scaling solutions, which give rise to a scalar-field density proportional to a background fluid density during radiation and matter eras, are attractive to alleviate the energy scale problem of dark energy. In the presence of…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Junko Ohashi , Shinji Tsujikawa

We investigate the quintom model of dark energy in the generalized case where the corresponding canonical and phantom fields possess O($N$) symmetries. Assuming exponential potentials we find that this O$(N)$ quintom paradigm exhibits novel…

High Energy Physics - Theory · Physics 2008-11-26 M. R. Setare , E. N. Saridakis

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

The recent observations support that our universe is flat and expanding with acceleration. A quintessence model with a general relation between the quintessence potential and the quintessence kinetic energy was proposed to explain the…

Astrophysics · Physics 2009-11-10 Yungui Gong

We extend the dynamical systems analysis of Scalar-Fluid interacting dark energy models performed in C. G. Boehmer et al, Phys. Rev. D 91, 123002 (2015), by considering scalar field potentials beyond the exponential type. The properties and…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Jibitesh Dutta , Wompherdeiki Khyllep , Nicola Tamanini

We study the classical and quantum models of a flat Friedmann-Robertson-Walker (FRW) space-time, coupled to a perfect fluid, in the context of the consensus and a gauge-fixed Lagrangian frameworks. It is shown that, either in the usual or…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Babak Vakili

We establish a Liouville type theorem for fully nonlinear uniformly elliptic equations in exterior domains in half spaces under quadratic boundary data and a quadratic growth condition, that is, any viscosity solution tends to a quadratic…

Analysis of PDEs · Mathematics 2026-05-28 Dongsheng Li , Rulin Liu

We study the nonlinear growth of cosmic structure in different dark energy models, using large volume N-body simulations. We consider a range of quintessence models which feature both rapidly and slowly varying dark energy equations of…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-13 Elise Jennings , Carlton M. Baugh , Raul E. Angulo , Silvia Pascoli

We determine analytically the dependence of the approach to thermal equilibrium of strongly coupled plasmas on the breaking of scale invariance. The theories we consider are the holographic duals to Einstein gravity coupled to a scalar with…

High Energy Physics - Theory · Physics 2016-02-17 Umut Gursoy , Matti Jarvinen , Giuseppe Policastro

A lagrangian for the $k-$ essence field is set up with canonical kinetic terms and incorporating the scaling relation of [1]. There are two degrees of freedom, {\it viz.},$q(t)= ln\enskip a(t)$ ($a(t)$ is the scale factor) and the scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Debashis Gangopadhyay , Somnath Mukherjee

In quintessence scalar field theories, the presence of scaling solutions are important during the radiation and matter epoch due to having their attractor character. Usually, it is assumed that the initial conditions of the quintessence…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Jaume Haro , Jaume Amorós , Supriya Pan

We propose a dynamical dark energy model based on a canonical scalar field with a hybrid potential of the form $V(\phi) = V_{0}e^{-\lambda\phi} + V_{1}\phi^{n}$. We constrain the model's 11-dimensional parameter space using a comprehensive…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-30 Arpit Kottur , Jui Mahajan , Raka Dabhade

Dynamical models for dark energy are an alternative to the cosmological constant. It is important to investigate properties of perturbations in these models and go beyond the smooth FRLW cosmology. This allows us to distinguish different…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-04 Manvendra Pratap Rajvanshi , J. S. Bagla

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

We reanalyze a new quintessence scenario in a brane world model, assuming that a quintessence scalar field is confined in our 3-dimensional brane world. We study three typical quintessence models : (1) an inverse-power-law potential, (2) an…

High Energy Physics - Phenomenology · Physics 2009-11-07 Shuntaro Mizuno , Kei-ichi Maeda

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