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Wojtak {\it et al} have stacked 7,800 clusters from the SDSS survey in redshift space. They find a small net blue-shift for the cluster galaxies relative to the brightest cluster galaxies, which agrees quite well with the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Nick Kaiser

The mapping of galaxy clustering from real space to redshift space introduces the anisotropic property to the measured galaxy density power spectrum in redshift space, known as the redshift space distortion (RSD) effect. The mapping formula…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-12 Yi Zheng , Yong-Seon Song , Minji Oh

The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is indeed possible to understand the nonlinear clustering in terms of three well defined regimes:…

Astrophysics · Physics 2016-06-08 T. Padmanabhan

The clustering amplitude of galaxies depends on their intrinsic luminosity. We compare the properties of publicly available galaxy formation models with clustering measurements from the two-degree field galaxy redshift survey. The model…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Han Seek Kim , C. M. Baugh , S. Cole , C. S. Frenk , A. J. Benson

According to the Cosmological Principle an observer stationary with respect to the comoving coordinates of the expanding universe should find the redshift distribution of distant quasars to be isotropic. However, the observed redshift…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-01 Ashok K. Singal

We present a theoretical formalism to predict the two-point clustering statistics (the power spectrum and the two-point correlation function), simultaneously taking account of the linear velocity distortion, the nonlinear velocity…

Astrophysics · Physics 2015-06-24 Yasushi Suto , Hiromitsu Magira , Kazuhiro Yamamoto

Modifications to gravity can provide attractive alternatives to the dark components of the standard model of cosmology. These modifications to general relativity (GR) must be hidden at small scales where theory is well tested, and so one…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-06 Benjamin Bose

Since the appearance of the classical paper of Lifshitz almost half a century ago, linear stability analysis of cosmological models is textbook knowledge. Until recently, however, little was known about the behavior of higher than linear…

Astrophysics · Physics 2007-05-23 R. Juszkiewicz , F. R. Bouchet

Peculiar velocities induce apparent line of sight displacements of galaxies in redshift space, distorting the pattern of clustering in the radial versus transverse directions. On large scales, the amplitude of the distortion yields a…

Astrophysics · Physics 2015-06-24 A. J. S. Hamilton , M. Culhane

In the context of the CNOC1 cluster survey, redshifts were obtained for galaxies in 16 clusters. The resulting sample is ideally suited for an analysis of the internal velocity and mass distribution of clusters. Previous analyses of this…

Astrophysics · Physics 2009-10-31 R. P. van der Marel , J. Magorrian , R. G. Carlberg , H. K. C. Yee , E. Ellingson

The streaming model describes the mapping between real and redshift space for 2-point clustering statistics. Its key element is the probability density function (PDF) of line-of-sight pairwise peculiar velocities. Following a kinetic-theory…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-24 Joseph Kuruvilla , Cristiano Porciani

The non-Euclidean geometry of spacetime induces an anisotropy in the apparent correlation function of high-redshift quasars. This effect can constrain the cosmological constant \Lambda independent of any assumptions about evolution of…

Astrophysics · Physics 2009-10-30 Piotr A. Popowski , David H. Weinberg , Barbara S. Ryden , Patrick S. Osmer

We present cosmological simulations of galaxy clusters, with focus on the cluster outskirts. We show that large-scale cosmic accretion and mergers produce significant internal gas motions and inhomogeneous gas distribution ("clumpiness") in…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-10 Daisuke Nagai

We present the second-order general relativistic description of the observed galaxy number density in a cosmological framework. The observed galaxy number density is affected by the volume and the source effects, both of which arise due to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Jaiyul Yoo , Matias Zaldarriaga

We have run Monte Carlo simulations, for quasar clustering redshift distortions in the Two-Degree Field QSO Redshift Survey (2QZ), in order to elicit the power of redshift distortions (geometric Alcock-Paczynski and linear kinematic) to…

Astrophysics · Physics 2007-05-23 M. O. Calvao , J. R. T de Mello Neto , I. Waga

The general relativistic description of galaxy clustering provides a complete and unified treatment of all the effects in galaxy clustering such as the redshift-space distortion, gravitational lensing, Sachs-Wolfe effects, and their…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Jaiyul Yoo

The bispectrum provides a characteristic signature of gravitational instability that can be used to probe the Gaussianity of the initial conditions and the bias of the galaxy distribution. We study how this signature is affected by redshift…

Astrophysics · Physics 2009-10-30 Roman Scoccimarro , H. M. P. Couchman , Joshua A. Frieman

We investigate the cosmological implications of studying galaxy clustering using a tomographic approach applied to the final BOSS DR12 galaxy sample, including both auto- and cross-correlation functions between redshift shells. We model the…

Using a fully gauge-invariant approach, we compute for the first time in the literature relativistic effects on the redshift drift up to second order in cosmological perturbation theory. This is achieved by employing a set of light-cone…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-30 Pierre Béchaz , Giuseppe Fanizza , Giovanni Marozzi , Matheus R. Medeiros Silva

We extend the scale-dependent Gaussian Streaming Model (GSM) to produce analytical predictions for the anisotropic redshift-space correlation function for biased tracers in modified gravity models. Employing the Convolution Lagrangian…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-03 Georgios Valogiannis , Rachel Bean , Alejandro Aviles