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In the context of quintessence, the concept of tracking solutions allows to address the fine-tuning and coincidence problems. When the field is on tracks today, one has $Q\approx m_{\rm Pl}$ demonstrating that, generically, any realistic…

Astrophysics · Physics 2009-10-31 Philippe Brax , Jerome Martin

Tracking quintessence, in a spatially flat and isotropic space-time with a minimally coupled canonical scalar field and an asymptotically inverse power-law potential $V(\varphi)\propto\varphi^{-p}$, $p>0$, as $\varphi\rightarrow0$, is…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Artur Alho , Claes Uggla , John Wainwright

In this paper two tracker solutions for conformally coupled quintessence model is obtained. The first solution is determined by dividing the evolution of the universe to matter and dark energy dominated epochs and then the allowed bound on…

General Relativity and Quantum Cosmology · Physics 2015-06-16 F. Shojai , R. Moti , F. Najdat

The role of the quintessence field as a probable candidate for the repulsive dark energy, the conditions for tracking and the requisites for tracker fields are examined. The concept of `integrated tracking' is introduced and a new criterion…

Astrophysics · Physics 2009-10-31 Vinod B. Johri

It is demonstrated that any realistic model of quintessence should be based on Supergravity since, when the scalar field is on tracks today, $Q\approx m_{\rm Pl}$. This improves the agreement between theoretical predictions and the current…

Astrophysics · Physics 2007-05-23 Philippe Brax , Jerome Martin

We extend the concept of quintessence to a flat nonminimally coupled scalar - tensor theories of gravity. By means of Noether's symmetries for the cosmological pointlike Lagrangian L, it is possible to exhibit exact solutions for a class of…

High Energy Physics - Theory · Physics 2009-09-25 R. de Ritis , A. A. Marino , C. Rubano , P. Scudellaro

Quintessence field is a widely-studied candidate of dark energy. There is "tracker solution" in quintessence models, in which evolution of the field $\phi$ at present times is not sensitive to its initial conditions. When the energy density…

Astrophysics · Physics 2014-11-18 Mingxing Luo , Qiping Su

We report a significant finding in Quintessence theory that the the scalar fields with tracker potentials have a model-independent scaling behaviour in the expanding universe. So far widely discussed exponential,power law or hyperbolic…

Astrophysics · Physics 2009-11-07 Vinod B. Johri

We study quintessence models using low energy supergravity inspired from string theory. We consider effective supergravity with two scales m_S, the string scale, and m_PL, the Planck scale and show that quintessence naturally arises from a…

High Energy Physics - Phenomenology · Physics 2011-07-28 Philippe Brax , Jerome Martin , Alain Riazuelo

In this paper we propose a quintessence model with the potential $V(\Phi )=V_{o}[ \sinh {(\alpha \sqrt{\kappa_{o}}\Delta \Phi})] ^{\beta}$, which asymptotic behavior corresponds to an inverse power-law potential at early times and to an…

Astrophysics · Physics 2010-04-06 L. A. Urena-Lopez , T. Matos

A substantial fraction of the energy density of the universe may consist of quintessence in the form of a slowly-rolling scalar field. Since the energy density of the scalar field generally decreases more slowly than the matter energy…

Astrophysics · Physics 2009-09-15 Paul J. Steinhardt , Limin Wang , Ivaylo Zlatev

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 show that a general, exact cosmological solution, where dynamics of scalar field is assigned by an exponential potential, fulfils all the issues of dark energy approach, both from a theoretical point of view and in comparison with…

Astrophysics · Physics 2008-11-26 C. Rubano , P. Scudellaro , E. Piedipalumbo , S. Capozziello , M. Capone

We derive new approximations for quintessence solutions that are simpler and an order of magnitude more accurate than anything available in the literature, which from an observational perspective \emph{makes numerical calculations…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Artur Alho , Claes Uggla

The scalar field with an exponential potential allows a scaling solution where the the density of the field follows the density of the dominating fluid. Such a scaling regime is often used as an important ingredient in many models of…

Astrophysics · Physics 2010-03-02 J. Hwang , H. Noh

The rapid oscillating scalar field is considered as the quintessence in the framework of nonminimal kinetic coupling model. The scalar field behaves like a perfect fluid with a variable equation of state parameter which can be expressed as…

General Relativity and Quantum Cosmology · Physics 2014-12-24 H. Mohseni Sadjadi

An attractive method of obtaining an effective cosmological constant at the present epoch is through the potential energy of a scalar field. Considering models with a perfect fluid and a scalar field, we classify all potentials for which…

Astrophysics · Physics 2009-07-09 Andrew R Liddle , Robert J Scherrer

Dark Energy models with slowly-rolling cosmological scalar field provide a popular alternative to the standard, time-independent cosmological constant model. We study simultaneous evolution of background expansion and growth in the scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Olga Avsajanishvili , Natalia A. Arkhipova , Lado Samushia , Tina Kahniashvili

We study the cosmological evolution of the universe when quintessence is modeled within supergravity, supersymmetry is broken in a hidden sector, and we also include observable matter in a third independent sector. We find that the presence…

Astrophysics · Physics 2009-11-11 Philippe Brax , Jerome Martin

Good tracking requires significant quintessence energy fraction, even in the past, but a potential that is not yet truly slow-rolling. The supernova bound on cosmic acceleration excludes constant equation of state and inverse power…

Astrophysics · Physics 2007-05-23 Sidney Bludman
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