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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 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

It has been recently recognized that the observational relativistic effects, mainly arising from the light propagation in an inhomogeneous universe, induce the dipole asymmetry in the cross-correlation function of galaxies. In particular,…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Shohei Saga , Atsushi Taruya , Michel-Andrès Breton , Yann Rasera

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…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-25 Elena Giusarma , Shadab Alam , Hongyu Zhu , Rupert A. C. Croft , Shirley Ho

The recent measurement of the gravitational redshifts of galaxies in galaxy clusters by Wojtak et al. has opened a new observational window on dark matter and modified gravity. By stacking clusters this determination effectively used the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Rupert A. C. Croft

Large redshift surveys of galaxies and clusters are providing the first opportunities to search for distortions in the observed pattern of large-scale structure due to such effects as gravitational redshift. We focus on non-linear scales…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-25 Hongyu Zhu , Shadab Alam , Rupert A. C. Croft , Shirley Ho , Elena Giusarma

The observed galaxy distribution via galaxy redshift surveys appears distorted due to redshift-space distortions (RSD). While one dominant contribution to RSD comes from the Doppler effect induced by the peculiar velocity of galaxies, the…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-04 Shohei Saga , Atsushi Taruya , Michel-Andrès Breton , Yann Rasera

We study relativistic effects, arising from the light propagation in an inhomogeneous universe. We particularly investigate the effects imprinted in a cross-correlation function between galaxy positions and intrinsic galaxy shapes (GI…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Shohei Saga , Teppei Okumura , Atsushi Taruya , Takuya Inoue

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

Observing large scale structure in redshift space gives rise to the well known redshift space distortions whereby a spherical distribution of galaxies is distorted into an ellipsoid along the line of sight of the observer. This effect is…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-06 Pritha Paul , Chris Clarkson

The apparent distribution of large-scale structures in the universe is sensitive to the velocity/potential of the sources as well as the potential along the line-of-sight through the mapping from real space to redshift space (redshift-space…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-04 Michel-Andrès Breton , Yann Rasera , Atsushi Taruya , Osmin Lacombe , Shohei Saga

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

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

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

Redshift-space distortions are a sensitive probe of the growth of large-scale structure. In the linear regime, redshift-space distortions are fully described by the multipoles of the two-point correlation function. In the nonlinear regime,…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-11 Felipe O. Franco , Camille Bonvin , Danail Obreschkow , Kamran Ali , Joyce Byun

The light that we receive from clusters of galaxies is redshifted by the presence of the clusters' gravitational potential. This effect, known as gravitational redshift, was first detected from a sample of stacked clusters in 2011, by…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-29 Enea Di Dio , Sveva Castello , Camille Bonvin

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

We derive the expression for the observed redshift in the weak field limit in the observer's past light cone, including all relativistic terms up to second order in velocity. We then apply it to compute the cluster-galaxy cross-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-24 Yan-Chuan Cai , Nick Kaiser , Shaun Cole , Carlos Frenk

Recent analyses of large-scale structure and redshift surveys have reported significant dipolar anisotropies in the local Universe that are not straightforwardly attributable to a global kinematic boost. When interpreted within standard…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-05 Erick Pastén

We present a fully relativistic calculation of the observed galaxy number counts in the linear regime. We show that besides the density fluctuations and redshift-space distortions, various relativistic effects contribute to observations at…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Camille Bonvin
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