The Stromlo-APM Redshift Survey III. Redshift Space Distortions, Omega and Bias

Abstract

Galaxy redshift surveys provide a distorted picture of the universe due to the non-Hubble component of galaxy motions. By measuring such distortions in the linear regime one can constrain the quantity $\beta ={\Omega }^{0.6}/b$ where $\Omega$ is the cosmological density parameter and $b$ is the (linear) bias factor for optically-selected galaxies. In this paper we apply two techniques for estimating $\beta$ from the Stromlo-APM redshift survey --- (1) measuring the anisotropy of the redshift space correlation function in spherical harmonics and (2) comparing the amplitude of the direction-averaged redshift space correlation function to the real space correlation function. We test the validity of these techniques, particularly whether the assumption of linear theory is justified, using two sets of large $N$-body simulations. We find that the first technique is affected by non-linearities on scales up to $\sim 30 \hMpc$. The second technique is less sensitive to non-linear effects and so is more useful for existing redshift surveys. The Stromlo-APM survey data favours a low value for $\beta$, with $β\simlt 0.6$. A bias parameter $b\approx 2$ is thus required if $\Omega \equiv 1$. However, higher-order correlations measured from the APM galaxy survey (Gaztañaga and Frieman 1994) indicate a low value for the bias parameter $b\approx 1$, requiring that $Ω\simlt 0.5$. We also measure the relative bias for samples of galaxies of various luminosity and morphological type and find that low-luminosity galaxies are roughly three times less biased than $L^{\ast }$ galaxies. For the galaxy population as a whole, we measure a real space variance of galaxy counts in $8 \hMpc$ spheres of $({\sigma }_8^2{)}_g=0.89\pm 0.05$.

Revised to accommodate referee's comments (added MDM simulation); accepted by ApJ 29 Feb 96. 32 pages, uuencoded, gzipped tar archive, includes all figures

Cited by in corpus (33)

• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Linear Redshift Distortions: A Review
• Southern Sky Redshift Survey: Clustering of Local Galaxies
• The Physical Origin of Scale Dependent Bias in Cosmological Simulations
• Redshift space correlations and scale-dependent stochastic biasing of density peaks
• Physical Bias of Galaxies From Large-Scale Hydrodynamic Simulations
• Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales
• The Galaxy Power Spectrum and Bispectrum in Redshift Space
• Time Evolution of Galaxy Formation and Bias in Cosmological Simulations
• Biased-estimations of the Variance and Skewness
• Tidal alignments as a contaminant of redshift space distortions
• COBE-DMR-Normalized Open CDM Cosmogonies
• The APM cluster-galaxy cross-correlation function : Constraints on Omega and galaxy bias
• UCSB South Pole 1994 CMB anisotropy measurement constraints on open and flat-Lambda CDM cosmogonies
• Quantifying the Redshift Space Distortion of the Bispectrum I: Primordial Non-Gaussianity
• Skewed exponential pairwise velocities from Gaussian initial conditions
• GaBoDS: The Garching-Bonn Deep Survey: VII. Probing galaxy bias using weak gravitational lensing
• How Stochastic is the Relative Bias Between Galaxy Types?
• Cosmological redshift distortion: deceleration, bias and density parameters from future redshift surveys of galaxies
• Reconstructing Cosmic Peculiar Velocities from the Mildly Nonlinear Density Field
• On the streaming model for redshift-space distortions
• A Radial Measurement of the Galaxy Tidal Alignment Magnitude with BOSS Data
• A New Statistic for Redshift Surveys: the Redshift Dispersion of Galaxies
• Quantifying the Redshift Space Distortion of the Bispectrum II: Induced Non-Gaussianity at Second Order Perturbation
• Measurement of Redshift Space Power Spectrum for BOSS galaxies and the Growth Rate at redshift 0.57
• Galaxy and Mass Assembly (GAMA): Small-scale anisotropic galaxy clustering and the pairwise velocity dispersion of galaxies
• The Angular Clustering of Galaxy Pairs
• Quantifying the redshift space distortion of the bispectrum III : Detection prospects of the multipole moments
• Redshift distortions in one-dimensional power spectra
• An Inversion Method for Measuring Beta in Large Redshift Surveys
• Towards breaking the Omega-bias degeneracy in density--velocity comparisons
• Anisotropies in the redshift-space correlations of galaxy groups and clusters I: Simulated catalogues
• The scaling relation of early-type galaxies in clusters. II: Spectroscopic data for galaxies in eight nearby clusters