Holographic dark energy in the DGP braneworld with GO cutoff

Abstract

We consider the holographic dark energy (HDE) model in the framework of DGP braneworld with Granda-Oliveros infrared (IR) cutoff, $L=(\alpha \dot{H}+\beta H^2{)}^{-1/2}$. With this choice for IR cutoff, we are able to derive evolution of the cosmological parameters such as the equation of state and the deceleration parameters, $w$ and $q$, as the functions of the redshift parameter $z$. As far as we know, most previous models of HDE presented in the literatures, do not gives analytically $\omega =\omega (z)$ and $q=q(z)$. We plot the evolution of these parameters versus $z$ and discuss that the results are compatible with the recent observations. With suitably choosing the parameters, this model can exhibit a transition from deceleration to the acceleration around $z\approx 0.6$. Then, we suggest a correspondence between the quintessence and tachyon scalar fields and HDE in the framework of DGP braneworld. This correspondence allows us to reconstruct the evolution of the scalar fields and the scalar potentials. We also investigate stability of the presented model by calculating the squared sound speed, $v_s^2$, whose sign determines the stability of the model. Our study shows that $v_s^2$ could be positive provided the parameters of the model are chosen suitably. In particular, for $\alpha >1$, $\beta >0$, and $\alpha <1$, $\beta <0$, we have $v_s^2>0$ during the history of the universe, and so the stable dark energy dominated universe can be achieved. This is in contrast to the HDE in standard cosmology, which is unstable against background perturbations and so cannot lead to a stable dark energy dominated universe.

arXiv comment13 pages

References in corpus (85)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• 4D Gravity on a Brane in 5D Minkowski Space
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmology and the Fate of Dilatation Symmetry
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Phantom Energy and Cosmic Doomsday
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• A Model of Holographic Dark Energy
• Essentials of k-essence
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Dark Energy Constraints from the Cosmic Age and Supernova
• Rolling Tachyon
• Tachyon Matter
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Accelerated expansion of the universe driven by tachyonic matter
• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• Brane cosmological evolution in a bulk with cosmological constant
• Cosmology on a Brane in Minkowski Bulk
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• A Covariant Entropy Conjecture
• Entropy Bounds and Dark Energy
• Dark Energy
• Holographic dark energy and cosmic coincidence
• Transition of the dark energy equation of state in an interacting holographic dark energy model
• Cosmological Evolution of the Rolling Tachyon
• A Dark Energy Model Characterized by the Age of the Universe
• Cosmology with tachyon field as dark energy
• A New Model of Agegraphic Dark Energy
• Tachyon Dynamics in Open String Theory
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Probable Values of the Cosmological Constant in a Holographic Theory
• Infrared cut-off proposal for the Holographic density
• The case for dynamical dark energy revisited
• T-duality and Actions for Non-BPS D-branes
• Uncorrelated Estimates of Dark Energy Evolution
• Dilatonic ghost condensate as dark energy
• Power-Law Inflation from the Rolling Tachyon
• New infrared cut-off for the holographic scalar fields models of dark energy
• Interacting holographic dark energy model in non-flat universe
• Constraints on the interacting holographic dark energy model
• Assisted inflation via tachyon condensation
• What is needed of a tachyon if it is to be the dark energy?
• Statefinder diagnostic for coupled quintessence
• Cosmological Constraints on New Agegraphic Dark Energy
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• Assisted Tachyonic Inflation
• Instability of holographic dark energy models
• Instability of agegraphic dark energy models
• Holographic tachyon model of dark energy
• New constraints on Coupled Dark Energy from Planck
• Interacting Agegraphic Dark Energy
• Coupled Quintessence in a Power-Law Case and the Cosmic Coincidence Problem
• Improved Constraints on the Acceleration History of the Universe and the Properties of the Dark Energy
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Cosmological constraints on interacting dark energy with redshift-space distortion after Planck data
• Interacting agegraphic dark energy models in non-flat universe
• Interacting tachyon dark energy in non-flat universe
• Holographic Scalar Fields Models of Dark Energy
• Instability of QCD ghost dark energy model
• Model independent analysis of dark energy I: Supernova fitting result
• New holographic scalar field models of dark energy in non-flat universe
• Interacting agegraphic tachyon model of dark energy
• Interacting HDE and NADE in Brans-Dicke Chameleon Cosmology
• Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy
• Interacting new agegraphic dark energy in non-flat Brans-Dicke cosmology
• Dark Energy Constraints after Planck
• Interacting entropy-corrected agegraphic-tachyon dark energy
• Constraints on Scalar-Field Dark Energy from Galaxy Cluster Gas Mass Fraction versus Redshift
• Interacting entropy-corrected new agegraphic tachyon, K-essence and dilaton scalar field models of dark energy in non-flat universe
• Observational constraints on dark energy model
• Reconstructing interacting entropy-corrected holographic scalar field models of dark energy in non-flat universe
• New agegraphic dark energy as a rolling tachyon
• Interacting new agegraphic viscous dark energy with varying $G$
• Holographic dark energy in Brans-Dicke cosmology with Granda-Oliveros cut-off
• Accelerating Universe and Cosmological Perturbation in the Ghost Condensate
• On the $c^2$ term in the holographic formula for dark energy
• Constraining the dynamical dark energy parameters: Planck-2013 vs WMAP9
• Sounds of instability from generalized QCD ghost dark energy
• Scalar Field Reconstruction of Power-Law Entropy-Corrected HDE
• Scalar Field, Four Dimensional Spacetime Volume and the Holographic Dark Energy

Cited by in corpus (36)

• Holographic Dark Energy
• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Holographic dark energy from nonadditive entropy: cosmological perturbations and observational constraints
• Tsallis holographic dark energy in the Brans-Dicke cosmology
• A Note on Tsallis Holographic Dark Energy
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Tsallis holographic dark energy in the brane cosmology
• Stability analysis of the Tsallis holographic dark energy model
• Cosmic evolution and thermal stability of Barrow holographic dark energy in nonflat Friedmann-Robertson-Walker Universe
• Barrow holographic dark energy in the Brans-Dicke cosmology
• A Generalized Interacting Tsallis Holographic Dark Energy Model and its thermodynamic implications
• New agegraphic dark energy in Brans-Dicke theory with logarithmic form of scalar field
• Kaniadakis holographic dark energy in Brans-Dicke cosmology
• Saez-Ballester gravity in Kantowski-Sachs Universe: a new reconstruction paradigm for Barrow Holographic Dark Energy
• Statefinder diagnosis for holographic dark energy in the DGP braneworld
• Generalized interacting Barrow Holographic Dark Energy: cosmological predictions and thermodynamic considerations
• On An Interacting New Holographic Dark Energy Model: observational constraints
• Holographic dark energy in modified Barrow cosmology
• Tsallis holographic model of dark energy: Cosmic behaviour, statefinder analysis and ${\omega }_D-{\omega }_D^{\prime }$ pair in the non-flat universe
• Interacting Tsallis holographic dark energy: Cosmic behaviour, statefinder analysis and ${\omega }_D-{\omega }_D^{\prime }$ pair in the non-flat universe
• Barrow Holographic Dark Energy Model with GO Cut-off -- An Alternative Perspective
• Lagrangian reconstruction of Barrow holographic dark energy in interacting tachyon model
• An interacting holographic dark energy model within an induced gravity brane
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Holographic Dark Energy from Acceleration of Particle Horizon
• Late cosmic acceleration in a vector--Gauss-Bonnet gravity model
• On the thermodynamics of reconciling quantum and gravity
• Quantum Entropy-Driven Modifications to Holographic Dark Energy in $f(G,T)$ Gravity
• Interacting Tsallis agegraphic dark energy in DGP Braneworld Cosmology
• Revisiting Holographic Dark Energy in Cyclic Cosmology
• A bound system in the expanding universe with modified holographic Ricci dark energy and dark matter
• Towards a Machine Learning Solution for Hubble Tension: Physics-Informed Neural Network (PINN) Analysis of Tsallis Holographic Dark Energy in Presence of Neutrinos
• Reconstruction of Tsallis Holographic Dark Energy via Modified Non-Metric Gravity: An $f(Q,C)$ Approach