Cosmic Constraint to DGP Brane Model: Geometrical and Dynamical Perspectives

Abstract

In this paper, the Dvali-Gabadadze-Porrati (DGP) brane model is confronted by current cosmic observational data sets from geometrical and dynamical perspectives. On the geometrical side, the recent released Union2 $557$ of type Ia supernovae (SN Ia), the baryon acoustic oscillation (BAO) from Sloan Digital Sky Survey and the Two Degree Galaxy Redshift Survey (transverse and radial to line-of-sight data points), the cosmic microwave background (CMB) measurement given by the seven-year Wilkinson Microwave Anisotropy Probe observations (shift parameters $R$, $l_a(z_{\ast })$ and redshift at the last scatter surface $z_{\ast }$), ages of high redshifts galaxies, i.e. the lookback time (LT) and the high redshift Gamma Ray Bursts (GRBs) are used. On the dynamical side, data points about the growth function (GF) of matter linear perturbations are used. Using the same data sets combination, we also constrain the flat $\Lambda$CDM model as a comparison. The results show that current geometrical and dynamical observational data sets much favor flat $\Lambda$CDM model and the departure from it is above $4\sigma$($6\sigma$) for spatially flat DGP model with(without) SN systematic errors. The consistence of growth function data points is checked in terms of relative departure of redshift-distance relation.

14 pages, 5 figures, 2 tables, accepted for publication in Physical Review D

References in corpus (21)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• The 2dF-SDSS LRG and QSO Survey: QSO clustering and the L-z degeneracy
• Testing LCDM with the Growth Function δ(a): Current Constraints
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• The acceleration of the universe and the physics behind it
• Model-Independent Distance Measurements from Gamma-Ray Bursts and Constraints on Dark Energy
• Observational signatures of Jordan-Brans-Dicke theories of gravity
• N-Body Simulations of Alternate Gravity Models
• Growth Index of DGP Model and Current Growth Rate Data
• Lookback time as a test for brane cosmology
• First Cosmological Constraints on Dark Energy from the Radial Baryon Acoustic Scale
• Bayesian Analysis and Constraints on Kinematic Models from Union SNIa
• Age constraints on the cosmic equation of state
• Probing the nature of cosmic acceleration
• The Ep,i - Eiso correlation and Fermi Gamma-Ray Bursts

Cited by in corpus (25)

• Observational information for f(T) theories and Dark Torsion
• Revisiting Generalized Chaplygin Gas as a Unified Dark Matter and Dark Energy Model
• Modified Chaplygin Gas as a Unified Dark Matter and Dark Energy Model and Cosmic Constraints
• Unified Dark Fluid with Constant Adiabatic Sound Speed and Cosmic Constraints
• Exploring the Latest Union2 SNIa Dataset by Using Model-Independent Parametrization Methods
• Revising the Hubble constant, spatial curvature and dark energy dynamics with the latest observations of quasars
• Implications from simulated strong gravitational lensing systems: constraining cosmological parameters using Gaussian Processes
• Testing nonstandard cosmological models with SNLS3 supernova data and other cosmological probes
• Observational constraints on new generalized Chaplygin gas model
• Observational Constraints on Interacting Dark Matter Model Without Dark Energy
• Global behavior of cosmological dynamics with interacting Veneziano ghost
• Viscous Generalized Chaplygin Gas as a Unified Dark Fluid: Including Perturbation of Bulk Viscosity
• Confronting DGP Braneworld Gravity with Cosmic Observations after Planck Data
• Unified Dark Fluid with Constant Adiabatic Sound Speed: Including Entropic Perturbations
• Comparison of cosmological models using standard rulers and candles
• Constraints to Holographic Dark Energy Model via Type Ia Supernovae, Baryon Acoustic Oscillation and WMAP
• Cosmological Constraints on the DGP braneworld model with Gamma-ray bursts
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Revisiting Friedmann-like cosmology with torsion: newest constraints from high-redshift observations
• Revisiting Cardassian Model and Cosmic Constraint
• Unified dark fluid with fast transition: including entropic perturbations
• Cosmological Model with Cosmic transit behaviour in Brans-Dicke Theory
• Probing Lambda-DGP Braneworld Model
• Testing the Consistence of Gamma Ray Burst Data-set and Supernovae Union2
• Cosmological Constraints on the DGP Model in light of DESI DR2 2025 Data