scholarly journals COMPARISON OF FRAMES: JORDAN VERSUS EINSTEIN FRAME FOR A NON-MINIMAL DARK ENERGY MODEL

2009 ◽  
Vol 24 (38) ◽  
pp. 3143-3155 ◽  
Author(s):  
KOUROSH NOZARI ◽  
S. DAVOOD SADATIAN
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Conformal Transformation ◽  
Einstein Frame ◽  
Jordan Frame ◽  
Energy Component ◽  
Phantom Divide ◽  
Dark Energy Component ◽  
Phantom Divide Line ◽  
Line Crossing

We construct a dark energy model where a scalar field non-minimally coupled to gravity plays the role of the dark component. We compare cosmological consequences of this non-minimal coupling of the scalar field and gravity in the spirit of the dark energy paradigm in Jordan and Einstein frames. Some important issues such as phantom divide line crossing, existence of the bouncing solutions and the stability of the solutions are compared in these two frames. We show that while a non-minimally coupled scalar field in the Jordan frame is a suitable dark energy component with capability to realize phantom divide line crossing, its conformal transformation in the Einstein frame does not have this capability. The conformal transformation from Jordan frame to Einstein frame transforms the equation of state parameter of the dark energy component to its minimal form with a redefined scalar field and in this case it is impossible to realize a phantom phase with possible crossing of the phantom divide line.

INTERACTING GENERALIZED DARK ENERGY AND RECONSTRUCTION OF SCALAR FIELD MODELS

2013 ◽  
Vol 28 (38) ◽  
pp. 1350180 ◽  
Author(s):  
M. SHARIF ◽  
ABDUL JAWAD
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Dark Energy Model ◽  
Cold Dark Matter ◽  
Scalar Potential ◽  
Scalar Fields ◽  
Phantom Divide ◽  
Evolution Parameter ◽  
Scalar Field Models ◽  
Phantom Divide Line

In this paper, we consider the interacting generalized dark energy with cold dark matter and analyze the behavior of evolution parameter via dark energy and interacting parameters. It is found that the evolution parameter crosses the phantom divide line in most of the cases of integration constants. We also establish the correspondence of scalar field models (quintessence, k-essence and dilaton) with this dark energy model in which scalar fields show the increasing behavior. The scalar potential corresponds to attractor solutions in quintessence case.

scholarly journals CHAMELEON COSMOLOGY MODEL DESCRIBING THE PHANTOM DIVIDE LINE CROSSING

2011 ◽  
Vol 20 (02) ◽  
pp. 121-131 ◽  
Author(s):  
FRANCESCO CANNATA ◽  
ALEXANDER Y. KAMENSHCHIK
Keyword(s):  
Exact Solution ◽  
Scalar Field ◽  
Phantom Divide ◽  
Model Based ◽  
Independent Functions ◽  
Phantom Divide Line ◽  
Line Crossing

An exact solution describing the evolution of the type Bang-to-Rip with the phantom divide line crossing is constructed in the chameleon cosmology model, based on two independent functions of the scalar field.

A NOTE ON THE UNIFIED FIRST LAW IN f(R) GRAVITY THEORY

2012 ◽  
Vol 21 (04) ◽  
pp. 1250034 ◽  
Author(s):  
YI ZHANG ◽  
YUNGUI GONG ◽  
ZONG-HONG ZHU
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Conformal Transformation ◽  
Dynamical Equation ◽  
Einstein Frame ◽  
Jordan Frame ◽  
View Point ◽  
Minimal Coupling ◽  
Friedmann Equations ◽  
Dynamical Equivalence

Because of the dynamical equivalence between the f(R) gravity and the Brans-Dicke theory, the dynamical equation in the f(R) gravity is suggested to be derived from a view point of thermodynamics here. By a conformal transformation, the Brans–Dicke theory in the Jordan frame could be expressed as a minimal coupling scalar field theory in Einstein frame. Using the entropy-area relation [Formula: see text], the correct Friedmann equations could be gotten in both frames. Furthermore, we also discuss the corresponding generalized Misner–Sharp energies for theoretical consistence.

scholarly journals LATE TIME ACCELERATION IN 3-BRANE BRANS–DICKE COSMOLOGY

2008 ◽  
Vol 23 (36) ◽  
pp. 3095-3111
Author(s):  
A. ERRAHMANI ◽  
T. OUALI
Keyword(s):  
Cosmological Parameters ◽  
Late Time ◽  
Observation Data ◽  
Energy Component ◽  
Phantom Divide ◽  
Big Rip ◽  
Dimensional Spacetime ◽  
Dark Energy Component ◽  
Phantom Divide Line ◽  
The Universe

In order to investigate more features of the Brans–Dicke cosmology in the five-dimensional spacetime, we explore the solutions of its dynamical systems. A behavior of the universe in its early and late time by means of the scale factor is considered. As a result, we show that it is possible to avoid the big rip singularity and to cross the phantom divide line. Furthermore, we review the dark energy component of the universe and its agreement with the observation data for this 3-brane Brans–Dicke cosmology by means of the cosmological parameters.

scholarly journals GHOST DARK ENERGY IN f(R) MODEL OF GRAVITY

2012 ◽  
Vol 21 (06) ◽  
pp. 1250057 ◽  
Author(s):  
KH. SAAIDI ◽  
A. AGHAMOHAMMADI ◽  
B. SABET ◽  
O. FAROOQ
Keyword(s):  
Dark Energy ◽  
Equation Of State ◽  
Dynamical Evolution ◽  
State Parameter ◽  
Jordan Frame ◽  
Density Parameter ◽  
Eos Parameter ◽  
Phantom Divide ◽  
Equation Of State Parameter ◽  
Phantom Divide Line

We study a correspondence between f(R) model of gravity in the Jordan frame and a phenomenological kind of dark energy (DE), which is known as QCD ghost DE. Since this kind of DE is not stable in the context of Einsteinian theory of gravity and Brans–Dicke model of gravity, we consider two kinds of correspondence between modified gravity and DE. By studding the dynamical evolution of model and finding relevant quantities such as, equation of state parameter, deceleration parameter, dimensionless density parameter, we show that the model can describe the present Universe and also the EoS parameter can cross the phantom divide line without needs to any kinetic energy with negative sign. Furthermore, by obtaining the adiabatic squared sound speed of the model for different cases of interaction, we show that this model is stable. Finally, we fit this model with supernova observational data in a noninteraction case and we find the best values of parameter at 1σ confidence interval as; [Formula: see text], [Formula: see text] and [Formula: see text]. These best-fit values show that DE equation of state parameter, ωd0, can cross the phantom divide line at the present time.

scholarly journals HOLOGRAPHIC CHAPLYGIN DGP COSMOLOGIES

2009 ◽  
Vol 18 (03) ◽  
pp. 419-427 ◽  
Author(s):  
M. R. SETARE
Keyword(s):  
Dark Energy ◽  
Extra Dimensions ◽  
Chaplygin Gas ◽  
Brane World ◽  
Holographic Model ◽  
Energy Component ◽  
Phantom Divide ◽  
Dark Energy Component

This paper, presents a model inspired by extra dimensions that is built on the DGP brane-world scenario. The dark energy component on the brane is then taken to be a Chaplygin gas. After that, a holographic model of the Chaplygin gas in the framework of DGP cosmology is considered. It is shown that the holographic Chaplygin gas can mimic a phantom fluid and cross the phantom divide in a DGP brane-world setup.

scholarly journals OBSERVATIONAL CONSTRAINTS ON THE GENERALIZED CHAPLYGIN GAS

2009 ◽  
Vol 18 (13) ◽  
pp. 2007-2022 ◽  
Author(s):  
SERGIO DEL CAMPO ◽  
J. R. VILLANUEVA
Keyword(s):  
Dark Energy ◽  
Cosmological Model ◽  
Chaplygin Gas ◽  
Observational Constraints ◽  
Energy Component ◽  
Generalized Chaplygin Gas ◽  
Astronomical Data ◽  
Astronomical Observations ◽  
Dark Energy Component ◽  
Two Parameters

In this paper we study a quintessence cosmological model in which the dark energy component is considered to be the generalized Chaplygin gas and the curvature of the three-geometry is taken into account. Two parameters characterize this sort of fluid: ν and α. We use different astronomical data for restricting these parameters. It is shown that the constraint ν ≲ α agrees well enough with the astronomical observations.

MASS INHOMOGENEITIES AND THE ANGULAR SIZE-REDSHIFT RELATION

2004 ◽  
Vol 13 (07) ◽  
pp. 1309-1313 ◽  
Author(s):  
JAILSON S. ALCANIZ ◽  
JOSÉ A. S. LIMA ◽  
RAIMUNDO SILVA
Keyword(s):  
Dark Energy ◽  
Angular Size ◽  
Matter Density ◽  
Radio Sources ◽  
Density Parameter ◽  
Energy Component ◽  
Dark Energy Component ◽  
Smoothness Parameter ◽  
Best Fit ◽  
Size Data

We investigate the influence of mass inhomogeneities on the angular size-redshift test through a statistical analysis of angular size data for a large sample of milliarcsecond radio sources. The results are based on flat models driven by nonrelativistic matter plus a dark energy component in the form of a relic cosmological constant. To model the mass inhomogeneities we use the Zeldovich–Kantowski distance formula (also known as Dyer–Roeder distance redshift relation) which is characterized by the smoothness parameter α. Marginalizing over the characteristic angular size l and assuming a Gaussian prior on the matter density parameter, i.e., Ωm=0.35±0.07, the best fit model occurs at Ωm=0.35 and α=0.8. For an analysis without priors and minimizing χ2 for the parameters l, Ωm and α we find that a conventional homogeneous scenario (α=1) with Ωm=0.2 and D=22.6h-1 pc constitutes the best fit model for the present angular size data.

scholarly journals NETWORKS OF COSMOLOGICAL HISTORIES, CROSSING OF THE PHANTOM DIVIDE LINE AND POTENTIALS WITH CUSPS

2007 ◽  
Vol 16 (10) ◽  
pp. 1683-1704 ◽  
Author(s):  
FRANCESCO CANNATA ◽  
ALEXANDER Y. KAMENSHCHIK
Keyword(s):  
Scalar Field ◽  
Equations Of Motion ◽  
Space Time ◽  
Cosmological Models ◽  
Mechanical Analogy ◽  
Phantom Divide ◽  
Phantom Divide Line

We discuss the phenomenon of the smooth dynamical gravity induced crossing of the phantom divide line in a framework of simple cosmological models where it appears to occur rather naturally, provided the potential of the unique scalar field has some kind of cusp. The behavior of cosmological trajectories in the vicinity of the cusp is studied in some detail and a simple mechanical analogy is presented. The phenomenon of certain complementarity between the smoothness of the space–time geometry and matter equations of motion is elucidated. We introduce a network of cosmological histories and qualitatively describe some of its properties.

GRAVITATIONAL LENSING CONSTRAINT ON THE COSMIC EQUATION OF STATE

2003 ◽  
Vol 12 (05) ◽  
pp. 953-962 ◽  
Author(s):  
DEEPAK JAIN ◽  
ABHA DEV ◽  
N. PANCHAPAKESAN ◽  
S. MAHAJAN ◽  
V. B. BHATIA
Keyword(s):  
Dark Energy ◽  
Equation Of State ◽  
Gravitational Lensing ◽  
Energy Component ◽  
Distance Measurements ◽  
Dark Energy Component ◽  
Highly Sensitive ◽  
Type Ia ◽  
Image Separation ◽  
Ia Supernovae

Recent redshift-distance measurements of Type Ia supernovae (SNe Ia) at cosmological distances suggest that two-third of the energy density of the universe is dominated by dark energy component with an effective negative pressure. This dark energy component is described by the equation of state px= wρx(w ≥ - 1). We use gravitational lensing statistics to constrain the equation of state of this dark energy. We use n(Δθ), the image separation distribution function of lensed quasars, as a tool to probe w. We find that for the observed range of Ωm~ 0.2–0.4, w should lie between -0.8 ≤ w ≤ -0.4 in order to have five lensed quasars in a sample of 867 optical quasars. This limit is highly sensitive to lens and Schechter parameters and the evolution of galaxies.

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