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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…

Astrophysics · Physics 2009-11-06 Somnath Bharadwaj

We compute a general expression for the contribution of vector perturbations to the redshift-space distortion of galaxy surveys. We show that they contribute to the same multipoles of the correlation function as scalar perturbations and…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-20 Camille Bonvin , Ruth Durrer , Nima Khosravi , Martin Kunz , Ignacy Sawicki

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Lawrence Dam , Camille Bonvin

We perform a comprehensive redshift-space distortion analysis based on cosmic voids in the large-scale distribution of galaxies observed with the Sloan Digital Sky Survey. To this end, we measure multipoles of the void-galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-12 Nico Hamaus , Marie-Claude Cousinou , Alice Pisani , Marie Aubert , Stéphanie Escoffier , Jochen Weller

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…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-27 Jorge Enrique García-Farieta , Federico Marulli , Lauro Moscardini , Alfonso Veropalumbo , Rigoberto A. Casas-Miranda

In order to best improve constraints on cosmological parameters and on models of modified gravity using current and future galaxy surveys it is necessary maximally exploit the available data. As redshift-space distortions mean statistical…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Donough Regan

Large ongoing and upcoming galaxy cluster surveys in the optical, X-ray and millimetric wavelengths will provide rich samples of galaxy clusters at unprecedented depths. One key observable for constraining cosmological models is the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Patrick Valageas , Nicolas Clerc

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-18 Lawrence Dam , Camille Bonvin

We have derived estimators for the linear growth rate of density fluctuations using the cross-correlation function of voids and haloes in redshift space, both directly and in Fourier form. In linear theory, this cross-correlation contains…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-10 Yan-Chuan Cai , Andy Taylor , John A. Peacock , Nelson Padilla

We show that correlations between the phases of the galaxy density field in redshift space provide additional information about the growth rate of large-scale structure that is complementary to the power spectrum multipoles. In particular,…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Joyce Byun , Felipe Oliveira Franco , Cullan Howlett , Camille Bonvin , Danail Obreschkow

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,…

Astrophysics · Physics 2009-06-16 S. J. Hatton , S. Cole

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…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-11 Seshadri Nadathur , Will J. Percival

The peculiar velocities of galaxies cause their redshift-space clustering to depend on the angle to the line-of-sight, providing a key test of gravitational physics on cosmological scales. These effects may be described using a multipole…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Chris Blake , Paul Carter , Jun Koda

We construct an analytic model for the void-galaxy cross-correlation function that enables theoretical predictions of the dipole signal produced dominantly by the gravitational redshift within voids for the first time. By extending a…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-30 Yue Nan , Kazuhiro Yamamoto

Galaxy clustering data can be used to measure the cosmic expansion history H(z), the angular-diameter distance D_A(z), and the linear redshift-space distortion parameter beta(z). Here we present a method for using effective multipoles of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Chia-Hsun Chuang , Yun Wang

The anisotropies in the galaxy two-point correlation function measured from redshift surveys exhibits deviations from the predictions of the linear theory of redshift space distortion on scales as large 20 Mpc/h where we expect linear…

Astrophysics · Physics 2009-11-10 Biswajit Pandey , Somnath Bharadwaj

The three-point correlation function (3PCF) can now be measured in large galaxy redshift surveys, but in three dimensions its interpretation is complicated by the presence of redshift-space distortions. I investigate the projected 3PCF,…

Astrophysics · Physics 2009-11-10 Zheng Zheng

We compute the dipole of the galaxy correlation function at 1-loop in perturbation theory by including all the relevant relativistic contributions. This provides a description and understanding of what the dipole truly measures, in…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-06 Enea Di Dio , Uros Seljak

We derive an analytical expression for a novel large-scale structure observable: the line correlation function. The line correlation function, which is constructed from the three-point correlation function of the phase of the density field,…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Richard Wolstenhulme , Camille Bonvin , Danail Obreschkow

The shapes of galaxy N-point correlation functions can be used as standard rulers to constrain the distance-redshift relationship and thence the expansion rate of the Universe. The cosmological density fields traced by late-time galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Lado Samushia , Zachary Slepian , Francisco Villaescusa-Navarro
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