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From the assumption that the slow roll parameter $\epsilon$ has a Lorentzian form as a function of the e-folds number $N$, a successful model of a quintessential inflation is obtained, as succinctly studied in \cite{Benisty:2020xqm}. The…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-07 David Benisty , Eduardo I. Guendelman

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

A model consisting of quintessence scalar field interacting with cold dark matter is considered. Conditions required to reach $w_d=-1$ are discussed. It is shown that depending on the potential considered for the quintessence, reaching the…

General Relativity and Quantum Cosmology · Physics 2010-06-17 H. Mohseni Sadjadi

In this article we investigate the behavior of multi-matrix unitary invariant models under a potential $V_\beta=\beta U+W$ when the inverse temperature $\beta$ becomes very large. We first prove, under mild hypothesis on the functionals…

Probability · Mathematics 2025-01-10 Alice Guionnet , Édouard Maurel-Segala

We propose a new Dark Energy parametrization based on the dynamics of a scalar field. We use an equation of state $w=(x-1)/(x+1)$, with $x=E_k/V$, the ratio of kinetic energy $E_k=\dot\phi^2/2$ and potential $V$. The eq. of motion gives…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-09 Axel de la Macorra

We propose a new equation of state for the Dark Energy component of the Universe. It is modeled on the equation of state $p=w(\rho-\rho_{*})$ which can describe a liquid, for example water. We show that its energy density naturally…

Astrophysics · Physics 2007-05-23 Richard Holman , Siddartha Naidu

Quintessence models leading to a constant equation of state are studied in hyperbolic universes. General properties of the quintessence potentials V(phi) are discussed, and for some special cases also the exact analytic expressions for…

Astrophysics · Physics 2009-11-07 R. Aurich , F. Steiner

Numerous upcoming observations, such as WFIRST, BOSS, BigBOSS, LSST, Euclid, and Planck, will constrain dark energy (DE)'s equation of state with great precision. They may well find the ratio of pressure to energy density, $w$, is -1,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Zachary Slepian , J. Richard Gott , Joel Zinn

Recent results from Type Ia supernovae (SNe Ia) and baryon acoustic oscillations (BAO), in combination with cosmic microwave background (CMB) measurements, have focused renewed attention on dark energy models with a time-varying…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Anowar J. Shajib , Joshua A. Frieman

A $\Lambda$CDM model with dark matter that decays into inert relativistic energy on a timescale longer than the Hubble time will produce an expansion history that can be misinterpreted as stable dark matter with time-varying dark energy. We…

Cosmology and Nongalactic Astrophysics · Physics 2010-08-27 Sourish Dutta , Robert J. Scherrer

Dynamical system analysis of a universe model which contains matter, radiation, and quintessence with exponential potential, $V \!(\phi)=V_{\!o} \, exp(-\alpha \kappa \phi) \,$, is studied in the light of recent observations and the…

General Relativity and Quantum Cosmology · Physics 2020-02-18 A. Savaş Arapoğlu , A. Emrah Yükselci

The new Dark Energy Spectroscopic Instrument (DESI) DR2 results have strengthened the possibility that dark energy is dynamical, i.e., it has evolved over the history of the Universe. One simple, but theoretically well motivated and widely…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-14 Yashar Akrami , George Alestas , Savvas Nesseris

We examine the behavior of dark energy models in the plane defined by w (the equation of state parameter for the dark energy) and w' (the derivative of w with respect to the logarithm of the scale factor). For non-phantom barotropic fluids…

Astrophysics · Physics 2009-11-13 Robert J. Scherrer

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

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

We propose a dark energy model in which a quintessence field $\phi$ rolls near the vicinity of a local maximum of its potential characterized by the simplest $S$ self-dual form $V(\phi) = \Lambda \ {\rm sech}(\sqrt{2} \, \phi/M_p)$, where…

High Energy Physics - Theory · Physics 2025-06-04 Luis A. Anchordoqui , Ignatios Antoniadis , Dieter Lust

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 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 study quintessential inflation with an inverse hyperbolic type potential $V(\phi) = {V_0}/{\cosh \left( {\phi^n}/{\lambda^n} \right)}$, where $V_0$, $\lambda$ and "n" are parameters of the theory. We obtain a bound on $\lambda$ for…

General Relativity and Quantum Cosmology · Physics 2017-08-04 Abhineet Agarwal , R. Myrzakulov , M. Sami , Naveen K. Singh

We study the $\nu=1/2$ Chern-Simons system and consider a self-consistent field theory of the Singwi-Sj\"olander type which goes beyond the random phase approximation (RPA). By considering the Heisenberg equation of motion for the…

Strongly Correlated Electrons · Physics 2013-05-29 J. Dietel , W. Weller
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