Modelling redshift space distortions in hierarchical cosmologies

Abstract

The anisotropy of clustering in redshift space provides a direct measure of the growth rate of large scale structure in the Universe. Future galaxy redshift surveys will make high precision measurements of these distortions, and will potentially allow us to distinguish between different scenarios for the accelerating expansion of the Universe. Accurate predictions are needed in order to distinguish between competing cosmological models. We study the distortions in the redshift space power spectrum in $\Lambda$CDM and quintessence dark energy models, using large volume N-body simulations, and test predictions for the form of the redshift space distortions. We find that the linear perturbation theory prediction by Kaiser (1987) is a poor fit to the measured distortions, even on surprisingly large scales $k\ge 0.05h$Mpc${}^{-1}$. An improved model for the redshift space power spectrum, including the non-linear velocity divergence power spectrum, is presented and agrees with the power spectra measured from the simulations up to $k\sim 0.2h$Mpc${}^{-1}$. We have found a density-velocity relation which is cosmology independent and which relates the non-linear velocity divergence spectrum to the non-linear matter power spectrum. We provide a formula which generates the non-linear velocity divergence $P(k)$ at any redshift, using only the non-linear matter power spectrum and the linear growth factor at the desired redshift. This formula is accurate to better than 5% on scales $k<0.2h$Mpc${}^{-1}$ for all the cosmological models discussed in this paper. Our results will extend the statistical power of future galaxy surveys.

15 pages, 9 figures, appendix added, matches published version in MNRAS

References in corpus (50)

• The cosmological simulation code GADGET-2
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• 4D Gravity on a Brane in 5D Minkowski Space
• Cosmology and the Fate of Dilatation Symmetry
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cluster Abundance Constraints on Quintessence Models
• Cosmology with a Primordial Scaling Field
• Cosmic Growth History and Expansion History
• Reconstructing the linear power spectrum of cosmological mass fluctuations
• A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Quintessence arising from exponential potentials
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• Fingers of God
• The VIMOS VLT Deep Survey - First epoch VVDS-Deep survey: 11564 spectra with 17.5<=IAB<=24, and the redshift distribution over 0< z <=5
• Reconstructing the history of structure formation using redshift distortions
• Quintessence and Supergravity
• Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
• Non-Linear Evolution of the Bispectrum of Cosmological Perturbations
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• Testing cosmological structure formation using redshift-space distortions
• Crossing the Phantom Divide with Parameterized Post-Friedmann Dark Energy
• Early Dark Energy Cosmologies
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• A model independent approach to the dark energy equation of state
• Non-linear evolution of f(R) cosmologies I: methodology
• The power spectrum of galaxies in the 2dF 100k redshift survey
• Forecasting Cosmological Constraints from Redshift Surveys
• Fourier Analysis of Redshift Space Distortions and the Determination of Omega
• On The Validity of the Streaming Model for the Redshift-Space Correlation Function in the Linear Regime
• Cosmological parameter constraints from SDSS luminous red galaxies: a new treatment of large-scale clustering
• Non-gaussian CMB temperature fluctuations from peculiar velocities of clusters
• Quintessence models in Supergravity
• Differentiating dark energy and modified gravity with galaxy redshift surveys
• Redshift Distortions as a Probe of Gravity
• A comparison of the evolution of the density field in perturbation theory and numerical simulations - II Counts in cells analysis
• Modelling the redshift-space distortion of galaxy clustering
• SPACE: the SPectroscopic All-sky Cosmic Explorer
• Difficulties Distinguishing Dark Energy from Modified Gravity via Redshift Distortions
• Adding Long-Wavelength Power to N-body Simulations
• Dynamical Dark Energy simulations: high accuracy Power Spectra at high redshift
• Simulations of Quintessential Cold Dark Matter: beyond the cosmological constant
• Estimating beta from redshift-space distortions in the 2dF galaxy survey
• Weakly Nonlinear Density-Velocity Relation
• Extending the Gravitational Growth Framework
• The velocity-density relation in the spherical model

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• Geometric and dynamic distortions in anisotropic galaxy clustering
• Minkowski Tensors in Redshift Space -- Beyond the Plane Parallel Approximation
• Coherent Combination of Baryon Acoustic Oscillation Statistics and Peculiar Velocity Measurements from Redshift Survey
• Study on the mapping of halo clustering from real space to redshift space
• Can we distinguish early dark energy from a cosmological constant?
• Evolution mapping II: describing statistics of the non-linear cosmic velocity field
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• Power Spectrum Precision for Redshift Space Distortions
• Quantification of the multi-streaming effect in Redshift Space Distortion
• On the statistical theory of self-gravitating collisionless dark matter flow
• Chasing Unbiased Spectra of the Universe
• Bound Dark Matter (BDM) towards solving the Small Scale Structure Problem
• Numerical Simulations of the Dark Universe: State of the Art and the Next Decade
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• Direct Determination of Expansion History Using Redshift Distortions
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