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The phenomenon of the dark energy transition between the quintessence regime ($w > -1$) and the phantom regime ($w < -1$), also known as the cosmological constant boundary crossing, is analyzed in terms of the dark energy equation of state.…

Astrophysics · Physics 2009-11-13 Hrvoje Stefancic

In this paper, we have used the state finder hierarchy for Barrow holographic dark energy (BHDE) model in the system of the FLRW Universe. We apply two DE diagnostic tools to determine $\Lambda BHDE$ model to have various estimations of…

General Relativity and Quantum Cosmology · Physics 2021-08-02 Vinod Kumar Bhardwaj , Archana Dixit , Anirudh Pradhan

In this work, two completely different approaches, statefinder with error bars and Bayesian evidence, are used to distinguish and judge three time-dependent dark energy models. The parameters constrain for the three dark energy models are…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Hongchao Zhang , Enkun Li , Lixin Xu

We examine dark energy models in which a quintessence or a phantom field, $\phi$, rolls near the vicinity of a local minimum or maximum, respectively, of its potential $V(\phi)$. Under the approximation that $(1/V)(dV/d\phi) \ll 1$,…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-09 Sourish Dutta , Emmanuel N. Saridakis , Robert J. Scherrer

We consider cosmological model in 4+1 dimensions with variable scale factor in extra dimension and static external space. The time scale factor is changing. Variations of light velocity, gravity constant, mass and pressure are determined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. B. Belayev

We develop a theoretical method of constructing the quintessence potential directly from the effective equation of state function $w(z)$, which describes the properties of the dark energy. We apply our method to four parametrizations of…

Astrophysics · Physics 2008-11-26 Zong-Kuan Guo , Nobuyoshi Ohta , Yuan-Zhong Zhang

It is shown that any realistic model of quintessence should be based on Supergravity (SUGRA) since the value of the quintessence field on the attractor is approximately the Planck mass. Under very general assumptions, the typical shape of a…

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

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

A Five dimensional Kaluza-Klein space-time is considered in the presence of a perfect fluid source with variable G and $\Lambda$. An expanding universe is found by using a relation between the metric potential and an equation of state. The…

General Relativity and Quantum Cosmology · Physics 2011-03-07 R. K. Tiwari , Farook Rahaman , Saibal Ray

The main aim of this paper is to present the multi scalar field components as candidates to be the dark energy of the universe and their observational constraints. We start with the canonical Quintessence and Phantom fields with quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-12 J. Alberto Vázquez , David Tamayo , Gabriela Garcia-Arroyo , Isidro Gómez-Vargas , Israel Quiros , Anjan A. Sen

We give a full investigation on the dynamics of power-law kinetic quintessence $L(X, \phi)=V(\phi)(-X+X^2)$ by considering the potential related parameter $\Gamma$($=\frac{V V''}{V'^2}$) as a function of another potential parameter…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Wei Fang , Hong Tu , Ying Li , Jiasheng Huang , Chenggang Shu

We study the value of cosmological constant in de Sitter brane embedded in five dimensions with positive, vanishing and negative bulk cosmological constant. In the case of negative bulk cosmological constant, we show that not zero but tiny…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masato Ito

Dark energy equation of state can be effectively described by that of a barotropic fluid. The barotropic fluid model describes the background evolution and the functional form of the equation of state parameter is well constrained by the…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-31 Archana Sangwan , Ankan Mukherjee , H. K. Jassal

Almost in all interacting dark energy models present in the literature, the stability of the model becomes potentially sensitive to the dark energy equation of state parameter $w_x$, and a singularity arises at `$w_x = -1$'. Thus, it…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-02 Weiqiang Yang , Ankan Mukherjee , Eleonora Di Valentino , Supriya Pan

Models of cosmological scalar fields often feature "attractor solutions" to which the system evolves for a wide range of initial conditions. There is some tension between this well-known fact and another well-known fact: Liouville's theorem…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Grant N. Remmen , Sean M. Carroll

The dark energy crossing of the cosmological constant boundary (the transition between the quintessence and phantom regimes) is described in terms of the implicitly defined dark energy equation of state. The generalizations of the models…

Astrophysics · Physics 2009-11-13 Hrvoje Stefancic

We study the autonomous system for a scalar-tensor model of dark energy with Gauss-Bonnet and non-minimal couplings. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor…

General Relativity and Quantum Cosmology · Physics 2017-10-16 L. N. Granda , D. F. Jimenez

We develop here a relatively simple description of dark energy based on the dynamics of non-minimally coupled to gravity phantom scalar field which, in limit, corresponds to cosmological constant. The dark energy equation of state, obtained…

Astrophysics · Physics 2014-11-18 Aleksandra Kurek , Orest Hrycyna , Marek Szydlowski

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

In this article, we introduce an innovative parametric representation of the Hubble parameter, providing a model-independent means to explore the dynamics of an accelerating cosmos. The model's parameters are rigorously constrained through…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-16 M. Koussour , N. Myrzakulov , M. K. M. Ali