Dynamics of holographic vacuum energy in the DGP model

Abstract

We consider the evolution of the vacuum energy in the DGP model according to the holographic principle under the assumption that the relation linking the IR and UV cut-offs still holds in this scenario. The model is studied when the IR cut-off is chosen to be the Hubble scale $H^{-1}$, the particle horizon $R_{\mathrm{ph}}$ and the future event horizon $R_{\mathrm{eh}}$, respectively. And the two branches of the DGP model are also taken into account. Through numerical analysis, we find that in the cases of $H^{-1}$ in the (+) branch and $R_{\mathrm{eh}}$ in both branches, the vacuum energy can play the role of dark energy. Moreover, when considering the combination of the vacuum energy and the 5D gravity effect in both branches, the equation of state of the effective dark energy may cross -1, which may lead to the Big Rip singularity. Besides, we constrain the model with the Type Ia supernovae and baryon oscillation data and find that our model is consistent with current data within $1\sigma$, and that the observations prefer either a pure holographic dark energy or a pure DGP model

arXiv comment11 pages, 18 figures, accepted for publication in Physical Review D

References in corpus (59)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The World as a Hologram
• Cosmological parameters from SDSS and WMAP
• 4D Gravity on a Brane in 5D Minkowski Space
• The Cosmological Constant
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• A Model of Holographic Dark Energy
• The 3D power spectrum of galaxies from the SDSS
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• The Second Data Release of the Sloan Digital Sky Survey
• The Fourth Data Release of the Sloan Digital Sky Survey
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• The First Data Release of the Sloan Digital Sky Survey
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Cosmology on a Brane in Minkowski Bulk
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• The Third Data Release of the Sloan Digital Sky Survey
• Braneworld models of dark energy
• Scrutinizing Exotic Cosmological Models Using ESSENCE Supernova Data Combined with Other Cosmological Probes
• Curvature quintessence matched with observational data
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Constraints on holographic dark energy from type Ia supernova observations
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• BVRI Light Curves for 29 Type Ia Supernovae
• Supernova Constraints on a holographic dark energy model
• Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• The Power of Brane-Induced Gravity
• Constraints on holographic dark energy from X-ray gas mass fraction of galaxy clusters
• Scales of Gravity
• Future supernovae data and quintessence models
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles, Data Processing, Radiometer Characterization and Systematic Error Limits
• Observational constraints on self-accelerating cosmology
• How a brane cosmological constant can trick us into thinking that w < -1
• Crossing the phantom divide without phantom matter
• Constraints on holographic dark energy models using the differential ages of passively evolving galaxies
• Observational constraints on phantom-like braneworld cosmologies
• Crossing $w=-1$ by a single scalar on a Dvali-Gabadadze-Porrati brane
• Critical comments on the paper "Crossing $\omega =-1$ by a single scalar field on a Dvali-Gabadadze-Porrati brane" by H Zhang and Z-H Zhu [Phys.Rev.D75,023510(2007)]
• Lookback time as a test for brane cosmology
• Constraints on the DGP Model from Recent Supernova Observations and Baryon Acoustic Oscillations
• Brane World Cosmologies and Statistical Properties of Gravitational Lenses
• Accelerating universe from gravitational leakage into extra dimensions: confrontation with SNeIa
• Chaplygin DGP cosmologies
• Age Constraints on Brane Models of Dark Energy
• Complementary Constraints on Brane Cosmology

Cited by in corpus (29)

• Holographic Dark Energy
• Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy
• Comparison of dark energy models: A perspective from the latest observational data
• Dark energy model with higher derivative of Hubble parameter
• Heal the world: Avoiding the cosmic doomsday in the holographic dark energy model
• The cosmology of an holographic induced gravity model with curvature effects
• Holographic Ricci dark energy: Interacting model and cosmological constraints
• Holographic Ricci dark energy in Randall-Sundrum braneworld: Avoidance of big rip and steady state future
• Sandage-Loeb test for the new agegraphic and Ricci dark energy models
• Using a phenomenological model to test the coincidence problem of dark energy
• The holographic induced gravity model with a Ricci dark energy: smoothing the little rip and big rip through Gauss-Bonnet effects?
• New Agegraphic Dark Energy in Brans-Dicke Theory
• Modified holographic dark energy in DGP brane world
• Self-interacting holographic dark energy
• Late time accelerated scaling attractors in DGP (Dvali-Gabadadze-Porrati) braneworld
• New holographic dark energy model inspired by the DGP braneworld
• Holographic dark energy and validity of the generalized second law of thermodynamics in the dgp brane world
• Cosmological constraints on Agegraphic dark energy in DGP braneworld gravity
• A 5D Holographic Dark Energy in DGP-Brane Cosmology
• Interacting Agegraphic Dark Energy Model in DGP Braneworld Cosmology: Dynamical System Approach
• Holographic Λ(t)CDM model in a non-flat universe
• Generalised second law of thermodynamics for interacting dark energy in the DGP brane world
• DGP Cosmological model with generalized Ricci dark energy
• Holographic dark energy in the DGP model
• Generalized Ghost Dark Energy in DGP Model
• Interacting and Non-interacting Reńyi Holographic Dark Energy Models in DGP Braneworld
• Cosmology on a Gravitational Wave Background
• Strengthening interacting agegraphic dark energy DGP constraints with local measurements and multimessenger forecastings
• Stability Analysis of DGP Brane-world Model with Agegraphic Dark Energy