Growth of Matter Perturbations in the Bi-Galileons Field Model

Abstract

We study a dark energy cubic bi-Galileons field model based on truncation of the recently proposed generalized covariant multi-Galileons model. We investigate the cosmological dynamic of the model by the theory of dynamical systems through the analysis of the properties of the fixed points in each cosmological epoch. We show the existence of two tracker solutions, one of which is that of the cubic single Galileon model and the other solution is the signature of the second Galileon field. Exploiting the competition between the two Galileon fields, we find a dark energy solution that avoids the approach to the tracker solution with dark energy equation of state $w_{DE}=-2$ during the matter epoch which is disfavored by the observational data. We study also the growth rate of matter perturbations. Using recent $f{\sigma }_8$ redshift space distortion (RSD) and model-independent observational Hubble (OHD) data sets, we place observational constraints on the coupling constant and cosmological parameters of the bi-Galileons model through Monte Carlo numerical method based on the Metropolis-Hastings algorithm. We find that the amplitude of growth matter fluctuations is consistent with the Planck15 data and ease the tension between early and later clustering, and fits better the data from the DES survey over the data from KiDS-450 survey. We also find that the best fit value for the Hubble constant is compatible with new measurements of Cepheid-supernovae distance scale. Finally, we perform a model selection through the Bayes factor and found that the bi-Galileons model is disfavored in comparison to the $\Lambda$CDM model, but slightly preferred to $w$CDM model.

arXiv comment22 pages, 9 figures, 4 tables

References in corpus (91)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• The galileon as a local modification of gravity
• Essentials of k-essence
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Constraints on the redshift dependence of the dark energy potential
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Covariant Galileon
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch
• BVRI Light Curves for 22 Type Ia Supernovae
• The trouble with $H_0$
• Quintessence: A Review
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Milky Way Cepheid Standards for Measuring Cosmic Distances and Application to Gaia DR2: Implications for the Hubble Constant
• Horndeski theory and beyond: a review
• G-inflation: inflation driven by the Galileon field
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Reconstructing the history of structure formation using redshift distortions
• Interpreting large-scale redshift-space distortion measurements
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Galaxy clustering and redshift-space distortions at z=0.8 in the first data release
• Cosmology of a covariant Galileon field
• Combined analysis of the integrated Sachs-Wolfe effect and cosmological implications
• The Clustering of the SDSS Main Galaxy Sample II: Mock galaxy catalogues and a measurement of the growth of structure from Redshift Space Distortions at $z=0.15$
• Cosmic flows in the nearby universe from Type Ia Supernovae
• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• Galaxy And Mass Assembly (GAMA): improved cosmic growth measurements using multiple tracers of large-scale structure
• Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models
• Evolution of the $f{\sigma }_8$ tension with the Planck15/$\Lambda$CDM determination and implications for modified gravity theories
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): The growth of structures at $0.5<z<1.2$ from redshift-space distortions in the clustering of the PDR-2 final sample
• Local Gravity versus Local Velocity: Solutions for $\beta$ and nonlinear bias
• Galileon Gravity in Light of ISW, CMB, BAO and $H_0$ data
• Generalized Galileon cosmology
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples
• Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
• The growth rate of cosmic structure from peculiar velocities at low and high redshifts
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Testing $\Lambda$CDM at the lowest redshifts with SN Ia and galaxy velocities
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from CMASS anisotropic galaxy clustering
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: structure growth rate measurement from the anisotropic quasar power spectrum in the redshift range $0.8<z<2.2$
• Observational constraints on Galileon cosmology
• Bi-galileon theory I: motivation and formulation
• Measurements of H(z) and D_A(z) from the Two-Dimensional Two-Point Correlation Function of Sloan Digital Sky Survey Luminous Red Galaxies
• Matter perturbations in Galileon cosmology
• Observational Constraints on Quintessence: Thawing, Tracker, and Scaling models
• Constraining Anisotropic Baryon Oscillations
• Growth rate of cosmological perturbations at z ~ 0.1 from a new observational test
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measuring structure growth using passive galaxies
• The significance of the integrated Sachs-Wolfe effect revisited
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Gravity test from the combination of redshift-space distortions and galaxy-galaxy lensing at $0.5<z<1.2$
• The VIMOS Public Extragalactic Redshift Survey: Measuring the growth rate of structure around cosmic voids
• 2MTF VI. Measuring the velocity power spectrum
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. II. A Spectroscopic Catalog of Red Galaxies in Galaxy Clusters
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: anisotropic clustering analysis in configuration-space
• Covariant multi-galileons and their generalisation
• Coupled quintessence with a $\Lambda$CDM background: removing the ${\sigma }_8$ tension
• Cosmological constraints on extended Galileon models
• Mapping the Real Space Distributions of Galaxies in SDSS DR7: II. Measuring the growth rate, clustering amplitude of matter and biases of galaxies at redshift $0.1$
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: a tomographic analysis of structure growth and expansion rate from anisotropic galaxy clustering
• Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity
• Cosmological data favor Galileon ghost condensate over $\Lambda$CDM
• Observational Constraints on Kinetic Gravity Braiding from the Integrated Sachs-Wolfe Effect
• Experimental constraints on the uncoupled Galileon model from SNLS3 data and other cosmological probes
• Cosmology at at Crossroads: Tension with the Hubble Constant
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): An unbiased estimate of the growth rate of structure at $⟨\mathbf{z}⟩=0.85$ using the clustering of luminous blue galaxies
• Multi-field G-inflation
• Speed from light: growth rate and bulk flow at z ~ 0.1 from improved SDSS DR13 photometry
• Constraining the $\Lambda$CDM and Galileon models with recent cosmological data
• Constraints on massive vector dark energy models from integrated Sachs-Wolfe-galaxy cross-correlations
• Nonlinear bulk viscosity and the stability of accelerated expansion in FRW spacetime
• Cosmological Scaling Solutions for Multiple Scalar Fields
• Behavior of perturbations on spherically symmetric backgrounds in multi-Galileon theory
• Observational status of the Galileon model general solution from cosmological data and gravitational waves
• Bounds from ISW-galaxy cross-correlations on generalized covariant Galileon models

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