Statefinder diagnosis in a non-flat universe and the holographic model of dark energy

Abstract

In this paper, we study the holographic dark energy model in non-flat universe from the statefinder viewpoint. We plot the evolutionary trajectories of the holographic dark energy model for different values of the parameter $c$ as well as for different contributions of spatial curvature, in the statefinder parameter-planes. The statefinder diagrams characterize the properties of the holographic dark energy and show the discrimination between this scenario and other dark energy models. As we show, the contributions of the spatial curvature in the model can be diagnosed out explicitly by the statefinder diagrams. Furthermore, we also investigate the holographic dark energy model in the $w-w^{\prime }$ plane, which can provide us with a useful dynamical diagnosis complement to the statefinder geometrical diagnosis.

16 pages, 4 figures; final version

References in corpus (13)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Cosmological Evolution of a Quintom Model of Dark Energy
• Interacting holographic dark energy model in non-flat universe
• Interacting dark energy, holographic principle and coincidence problem
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Bulk-Brane Interaction and Holographic Dark Energy
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• A Tracker Solution for a Holographic Dark Energy Model
• Top ten accelerating cosmological models
• The Holographic Model of Dark Energy and Thermodynamics of Non-Flat Accelerated Expanding Universe
• Coupled Quintessence and Phantom Based On a Dilaton
• Geometrical Constraints on Dark Energy

Cited by in corpus (81)

• Dark Energy
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Holographic dark energy models: A comparison from the latest observational data
• Interacting holographic generalized Chaplygin gas model
• Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Statefinder Diagnosis for Ricci Dark Energy
• Instability of holographic dark energy models
• Holographic tachyon model of dark energy
• Restoring Holographic Dark Energy in Brane Cosmology
• Holographic Dark Energy in Braneworld Models with a Gauss-Bonnet Term in the Bulk. Interacting Behavior and the w =-1 Crossing
• Coupled oscillators as models of quintom dark energy
• Statefinder diagnosis for the interacting model of holographic dark energy
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Interacting generalized Chaplygin gas model in non-flat universe
• Correspondence between Holographic and Gauss-Bonnet dark energy models
• Phase-space analysis of interacting phantom cosmology
• Quintom model with O($N$) symmetry
• Agegraphic dark energy as a quintessence
• Holographic tachyon model
• Age Problem in the Holographic Dark Energy Model
• Holographic dark energy in a cyclic universe
• Thermodynamical Interpretation of the Interacting Holographic Dark Energy Model in a non-flat Universe
• Internal space structure generalization of the quintom cosmological scenario
• Non-minimally Coupled Quintom Model Inspired by String Theory
• A Modified Holographic Dark Energy Model with Infrared Infinite Extra Dimension(s)
• Dark energy model with higher derivative of Hubble parameter
• Holographic Dark Energy in Braneworld Models with Moving Branes and the w=-1 Crossing
• Theoretical Limits on the Equation-of-State Parameter of Phantom Cosmology
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Holographic dark energy with varying gravitational constant in Horava-Lifshitz cosmology
• Observational constraints on the interacting Ricci dark energy model
• Holographic dark energy in a universe with spatial curvature and massive neutrinos: a full Markov Chain Monte Carlo exploration
• Barrow HDE model for Statefinder diagnostic in FLRW Universe
• Possible theoretical limits on holographic quintessence from weak gravity conjecture
• Observational constraints on a holographic, interacting dark energy model
• Sandage-Loeb test for the new agegraphic and Ricci dark energy models
• Holographic Ricci dark energy in Randall-Sundrum braneworld: Avoidance of big rip and steady state future
• New agegraphic dark energy as a rolling tachyon
• Power-law solutions in $f(T)$ gravity
• Extended Chaplygin Gas in Horava-Lifshitz Gravity
• Holographic dark matter and dark energy with second order invariants
• 3-loop Yang-Mills Condensate Dark Energy Model And Its Cosmological Constraints
• An Axially Symmetric Transitioning models with Observational Constraints
• New Agegraphic Dark Energy in $f(R)$ Gravity
• Analysis of Generalized Ghost Pilgrim Dark Energy in Non-flat FRW Universe
• New Agegraphic Dark Energy in Brans-Dicke Theory
• Statefinder diagnostic and constraints on the Palatini f(R) gravity theories
• Revisiting the holographic dark energy in a non-flat universe: alternative model and cosmological parameter constraints
• Exploring interacting holographic dark energy in a perturbed universe with parameterized post-Friedmann approach
• Background cosmological dynamics in $f(R)$ gravity and observational constraints
• Diagnosing holographic dark energy models with statefinder hierarchy
• Dark energy and cosmic curvature: Monte-Carlo Markov Chain approach
• Modified Holographic Dark Energy in Non-flat Kaluza-Klein Universe with Varying G
• Statefinder diagnostic for cosmology with the abnormally weighting energy hypothesis
• First-order formalism for dark energy and dust
• Comparing holographic dark energy models with statefinder
• Tsallis holographic model of dark energy: Cosmic behaviour, statefinder analysis and ${\omega }_D-{\omega }_D^{\prime }$ pair in the non-flat universe
• Statefinder diagnosis for the extended holographic Ricci dark energy model without and with interaction
• The cosmological behaviour and the statefinder diagnosis for the New Tsallis agegraphic dark energy
• A New Type of Dark Energy Model
• Interacting Tsallis holographic dark energy: Cosmic behaviour, statefinder analysis and ${\omega }_D-{\omega }_D^{\prime }$ pair in the non-flat universe
• Generalized holographic Ricci dark energy and generalized second law of thermodynamics in Bianchi Type I universe
• Statefinder diagnostic in a torsion cosmology
• Statefinder hierarchy exploration of the extended Ricci dark energy
• Bouncing Universe with Non-minimally Coupled Quintom Matter
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• Interacting holographic dark energy in the scalar-Gauss-Bonnet gravity
• Modified holographic Ricci dark energy coupled to interacting relativistic and non-relativistic dark matter in the nonflat universe
• First-order formalism for the quintom model of dark energy
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Reconstructing quintom from WMAP 5-year observations: Generalized ghost condensate
• Effects of particle creation rate in two-fluid interacting cosmologies
• Constraining hybrid potential scalar field cosmological model in Lyra's geometry with recent observational data
• Generalized Ghost Pilgrim Dark Energy Fractal Cosmology with Observational Constraint
• A comprehensive analysis of Barrow holographic Chaplygin gas model reconstruction and its cosmological consequences
• Observational constraints in late time for an axially symmetric transitioning model with bulk viscous fluid
• Cosmological Dynamics of Interacting Logarithmic Entropy Corrected Holographic Dark Energy Model
• Statefinder diagnosis of nearly flat and thawing non-minimal quintessence
• Interacting tachyon with varying mass dark matter
• Holographic dark energy models with Interactions and entropy corrections for different cutoffs in the Brans-Dicke cosmology