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We consider a situation where the density and peculiar velocities in real space are linear, and we calculate \xi_s the two-point correlation function in redshift space, incorporating all non-linear effects which arise as a consequence of…

天体物理学 · 物理学 2009-11-06 Somnath Bharadwaj

The radial component of the peculiar velocities of galaxies cause displacements in their positions in redshift space. We study the effect of the peculiar velocities on the linear redshift space two point correlation function. Our analysis…

天体物理学 · 物理学 2009-10-31 Somnath Bharadwaj

The relation between the galaxy correlation function in real and redshift-space is derived in the linear regime by an appropriate averaging of the joint probability distribution of density and velocity. The derivation recovers the familiar…

天体物理学 · 物理学 2009-10-22 Karl B. Fisher

We use a set of large, high-resolution cosmological N-body simulations to examine the redshift-space distortions of galaxy clustering on scales of order 10-200h^{-1} Mpc. Galaxy redshift surveys currently in progress will, on completion,…

天体物理学 · 物理学 2009-06-16 S. J. Hatton , S. Cole

Gravitational redshift imprints a slight asymmetry in the observed clustering of galaxies, producing odd multipoles (e.g.\ the dipole) in the cross-correlation function. But there are other sources of asymmetry which must also be considered…

宇宙学与河外天体物理 · 物理学 2025-07-18 Lawrence Dam , Camille Bonvin

The observed two-point correlation functions of galaxies in redshift space become anisotropic due to the geometry of the universe as well as due to the presence of the peculiar velocity field. On the basis of linear perturbation theory, we…

天体物理学 · 物理学 2009-10-30 Takahiro T. Nakamura , Takahiko Matsubara , Yasushi Suto

We derive the exact relationship, including all non-linearities, between real-space and redshift-space two-point statistics through the pairwise velocity distribution function. We show using numerical simulations that the pairwise velocity…

天体物理学 · 物理学 2009-11-10 Roman Scoccimarro

Redshift-space clustering distortions provide one of the most powerful probes to test the gravity theory on the largest cosmological scales. We perform a systematic validation study of the state-of-the-art statistical methods currently used…

Direct measurements of peculiar velocities of galaxies and clusters of galaxies can in principle provide explicit information on the three dimensional mass distribution, but this information is modulated by the fact that velocity field is…

宇宙学与河外天体物理 · 物理学 2015-06-18 Teppei Okumura , Uros Seljak , Zvonimir Vlah , Vincent Desjacques

The peculiar velocities of galaxies distort the pattern of galaxy clustering in redshift space, making the redshift space power spectrum anisotropic. In the linear regime, the strength of this distortion depends only on the ratio $\beta…

天体物理学 · 物理学 2015-06-24 Shaun Cole , Karl B. Fisher , David H. Weinberg

We derive an analytic expression for the two-point correlation function in redshift space which (i) is nonlinear; (ii) is valid on the full sky, i.e. the distant-observer limit is not assumed; (iii) can account for the effect of…

宇宙学与河外天体物理 · 物理学 2023-11-08 Lawrence Dam , Camille Bonvin

We study the asymmetry in the two-point cross-correlation function of two populations of galaxies focusing in particular on the relativistic effects that include the gravitational redshift. We derive the cross-correlation function on small…

宇宙学与河外天体物理 · 物理学 2017-09-25 Elena Giusarma , Shadab Alam , Hongyu Zhu , Rupert A. C. Croft , Shirley Ho

We investigate the ability of state-of-the-art redshift-space distortions models for the galaxy anisotropic two-point correlation function \xi(r_p, \pi), to recover precise and unbiased estimates of the linear growth rate of structure f,…

宇宙学与河外天体物理 · 物理学 2015-06-04 Sylvain de la Torre , Luigi Guzzo

Redshift space distortions within voids provide a unique method to test for environmental dependence of the growth rate of structures in low density regions, where effects of modified gravity theories might be important. We derive a linear…

宇宙学与河外天体物理 · 物理学 2018-12-11 Seshadri Nadathur , Will J. Percival

Starting from first principles, we derive the fundamental equations that relate the $n$-point correlation functions in real and redshift space. Our result generalises the so-called `streaming model' to higher-order statistics: the full…

宇宙学与河外天体物理 · 物理学 2020-07-22 Joseph Kuruvilla , Cristiano Porciani

We study the reliability of the reconstruction method which uses a modelling of the redshift distortions of the two-point correlation function to estimate the pairwise peculiar velocity dispersion of galaxies. In particular, the dependence…

天体物理学 · 物理学 2009-10-30 Y. P. Jing , G. Boerner

We investigate the impact of different observational effects affecting a precise and accurate measurement of the growth rate of fluctuations from the anisotropy of clustering in galaxy redshift surveys. We focus on redshift measurement…

宇宙学与河外天体物理 · 物理学 2012-10-23 Federico Marulli , Davide Bianchi , Enzo Branchini , Luigi Guzzo , Lauro Moscardini , Raul E. Angulo

We examine the cosmological redshift-space distortion effect on the power spectrum of the objects at high-redshifts, which is an unavoidable observational contamination in general relativistic cosmology. In particular, we consider the…

天体物理学 · 物理学 2009-10-31 Hiromitsu Magira , Y. P. Jing , Yasushi Suto

As a step towards a more accurate modelling of redshift-space distortions in galaxy surveys, we develop a general description of the probability distribution function of galaxy pairwise velocities within the framework of the so-called…

宇宙学与河外天体物理 · 物理学 2015-02-04 Davide Bianchi , Matteo Chiesa , Luigi Guzzo

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…

宇宙学与河外天体物理 · 物理学 2010-10-28 Elise Jennings , Carlton M. Baugh , Silvia Pascoli
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