Linear Redshift Distortions: A Review

Hamilton, A.

doi:10.1007/978-94-011-4960-0_17

Cited by 383 publications

(376 citation statements)

References 118 publications

(237 reference statements)

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“…Seen in redshift-space, it is distorted along the line-of-sight direction (Hamilton 1998). We model the signal on the cartesian Fourier grid as (10) where µ ≡ k los /k and k = k 2 x + k 2 y + k 2 z .…”

Section: Power Spectrummentioning

confidence: 99%

The VIMOS Public Extragalactic Redshift Survey

Granett

Branchini

Guzzo

et al. 2015

A&A

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Aims. Using the VIMOS Public Extragalactic Redshift Survey (VIPERS) we aim to jointly estimate the key parameters that describe the galaxy density field and its spatial correlations in redshift space. Methods. We use the Bayesian formalism to jointly reconstruct the redshift-space galaxy density field, power spectrum, galaxy bias and galaxy luminosity function given the observations and survey selection function. The high-dimensional posterior distribution is explored using the Wiener filter within a Gibbs sampler. We validate the analysis using simulated catalogues and apply it to VIPERS data taking into consideration the inhomogeneous selection function. Results. We present joint constraints on the anisotropic power spectrum, and the bias and number density of red and blue galaxy classes in luminosity and redshift bins as well as the measurement covariances of these quantities. We find that the inferred galaxy bias and number density parameters are strongly correlated although they are only weakly correlated with the galaxy power spectrum. The power spectrum and redshiftspace distortion parameters are in agreement with previous VIPERS results with the value of the growth rate f σ 8 = 0.38 with 18% uncertainty at redshift 0.7.

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Section: Power Spectrummentioning

confidence: 99%

The VIMOS Public Extragalactic Redshift Survey

Granett

Branchini

Guzzo

et al. 2015

A&A

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“…These are referred to as redshift space distortions and are proportional to the growth rate f (see [4] for a review). In the linear limit the Kaiser formula [1] for the redshift space power spectrum P s is…”

Section: A Observablesmentioning

confidence: 99%

Testing dark matter clustering with redshift space distortions

Linder

2013

J. Cosmol. Astropart. Phys.

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The growth rate of large scale structure can probe whether dark matter clusters at gravitational strength or deviates from this, e.g. due to self interactions. Measurement of the growth rate through redshift space distortions in galaxy redshift surveys constrains the clustering strength, and its redshift dependence. We compare such effects on growth to those from high redshift deviations (e.g. early dark energy) or modified gravity, and give a simple, highly accurate analytic prescription. Current observations can constrain the dark matter clustering strength to F cl = 0.99 ± 0.02 of standard, if all other parameters are held fixed, but substantial covariances exist. Future galaxy redshift surveys may constrain an evolving clustering strength to 28%, marginalizing over the other parameters, or 4% if the dark energy parameters are held fixed while fitting for dark matter growth. Tighter constraints on the nature of dark matter could be obtained by combining cosmological and astrophysical probes.

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“…However, the multi-pole moments of the correlation function are significantly better behaved [27], and provide more robust constraints. Equation (1.1) shows that the first three even multi-pole moments of the power spectrum contain all of the information in the linear power spectrum, and the same holds for the correlation function [3]. There is therefore a strong argument for also considering these multi-pole moments when including the perturbations to equation (1.1) suggested above.…”

Section: Towards a Robust Analysismentioning

confidence: 93%

“…If we follow the 'plane-parallel' approximation that observed galaxies are sufficiently far away that their separations are small when compared with the distances between them, then assume that the linearized continuity equation holds and that we have scale-independent growth as predicted by GR then, to linear order [2,3],…”

Section: Linear Redshift-space Distortionsmentioning

confidence: 99%

Redshift-space distortions

Percival

Samushia

Ross

et al. 2011

Phil. Trans. R. Soc. A.

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Comparing measurements of redshift-space distortions (RSDs) with geometrical observations of the expansion of the Universe offers tremendous potential for testing general relativity on very large scales. The basic linear theory of RSDs in the distantobserver limit has been known for 25 years and the effect has been conclusively observed in numerous galaxy surveys. The next generation of galaxy survey will observe many millions of galaxies over volumes of many tens of Gpc 3 . They will provide RSD measurements of such exquisite precision that we will have to carefully analyse and correct for many systematic deviations from this simple picture in order to fully exploit the statistical precision obtained. We review RSD theory and show how ubiquitous RSDs actually are, and then consider a number of potential systematic effects, shamelessly highlighting recent work in which we have been involved. This review ends by looking ahead to the future surveys that will make the next generation of RSD measurements.Keywords: cosmology; cosmology observations; large-scale structure of Universe Linear redshift-space distortionsThe rate at which cosmological structure grows provides significant evidence to discriminate between cosmological models. In particular, dark energy models in which general relativity (GR) is unmodified predict formation rates that are different when compared with modified gravity models with the same background expansion [1].The overdensity field evolves through the motion of material within a comoving frame, and galaxies act as test particles following this peculiar velocity field. Galaxy redshifts depend on the relative velocity of galaxies with respect to the observer, and so include both the Hubble recession and the peculiar velocity. Consequently, if only the Hubble recession is assumed when converting from redshift to distance, then we recover a distorted field, with radial redshift-space distortions (RSDs) caused by coherent co-moving flows.If we follow the 'plane-parallel' approximation that observed galaxies are sufficiently far away that their separations are small when compared with the distances between them, then assume that the linearized continuity equation This journal is

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Linear Redshift Distortions: A Review

Cited by 383 publications

References 118 publications

The VIMOS Public Extragalactic Redshift Survey

The VIMOS Public Extragalactic Redshift Survey

Testing dark matter clustering with redshift space distortions

Redshift-space distortions

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