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A general formula for the correlation function in redshift space is derived in linear theory. The formula simultaneously includes wide-angle effects and cosmological distortions. The formula is applicable to any pair with arbitrary angle…

天体物理学 · 物理学 2009-10-31 Takahiko Matsubara

Galaxy clustering on very large scales can be probed via the 2-point correlation function in the general case of wide and deep separations, including all the lightcone and relativistic effects. Using our recently developed formalism, we…

宇宙学与河外天体物理 · 物理学 2016-06-08 Alvise Raccanelli , Daniele Bertacca , Roy Maartens , Chris Clarkson , Olivier Doré

Galaxy power spectrum and bispectrum signals are distorted by peculiar velocities and other relativistic effects arising from a perturbed spacetime background. In addition, study of correlation functions of tracers in Fourier space is often…

宇宙学与河外天体物理 · 物理学 2023-04-27 Milad Noorikuhani , Roman Scoccimarro

Planned efforts to probe the largest observable distance scales in future cosmological surveys are motivated by a desire to detect relic correlations left over from inflation, and the possibility of constraining novel gravitational…

宇宙学与河外天体物理 · 物理学 2021-01-11 Caroline Guandalin , Julian Adamek , Philip Bull , Chris Clarkson , L. Raul Abramo , Louis Coates

Distances in cosmology are usually inferred from observed redshifts - an estimate that is dependent on the local peculiar motion - giving a distorted view of the three dimensional structure and affecting basic observables such as the…

天体物理学 · 物理学 2008-12-18 J. Richard Shaw , Antony Lewis

We present a method to obtain a high-significance detection of relativistic effects on cosmological scales. Measurements of such effects would be instrumental for our understanding of the Universe, as they would provide a further…

宇宙学与河外天体物理 · 物理学 2024-07-19 Federico Montano , Stefano Camera

We study the power spectrum dipole of an N-body simulation which includes relativistic effects through ray-tracing and covers the low redshift Universe up to $z_{\rm max} = 0.465$ (RayGalGroup simulation). We model relativistic corrections…

宇宙学与河外天体物理 · 物理学 2020-08-05 Florian Beutler , Enea Di Dio

We study the two-point cross-correlation function between two populations of galaxies: for instance a bright population and a faint population. We show that this cross-correlation is asymmetric under the exchange of the line-of-sight…

宇宙学与河外天体物理 · 物理学 2014-05-08 Camille Bonvin , Lam Hui , Enrique Gaztanaga

We present new results on the gravitational lensing shear and magnification power spectra obtained from numerical simulations of a flat cosmology with a cosmological constant. These results are of considerable interest since both the shear…

天体物理学 · 物理学 2009-11-07 Andrew J. Barber , A. N. Taylor

We present FuGa3D, a code for fast computation of correlation functions and power spectra for galaxy survey observables, including galaxy clustering and cosmic shear. We define the redshift-space correlation function (RCF) as the…

宇宙学与河外天体物理 · 物理学 2026-05-06 Elina Keihänen , Jani Haapala , Valtteri Lindholm , Martin Reinecke , Susan Rissanen , Jussi Valiviita , Akke Viitanen

Deep multi-color galaxy surveys with photometric redshifts will provide a large number of two-point correlation observables: galaxy-galaxy angular correlations, galaxy-shear cross correlations, and shear-shear correlations between all…

天体物理学 · 物理学 2008-11-26 Wayne Hu , Bhuvnesh Jain

The angular correlation function \wth of faint galaxies is affected both by nonlinear gravitational evolution and by magnification bias due to gravitational lensing. We compute the resulting \wth for different cosmological models and show…

天体物理学 · 物理学 2020-11-25 R. Moessner , B. Jain , J. V. Villumsen

It is usually assumed that the ellipticity power spectrum measured in weak lensing observations can be expressed as an integral over the underlying matter power spectrum. This is true at second order in the gravitational potential. We…

宇宙学与河外天体物理 · 物理学 2015-05-14 Elisabeth Krause , Christopher M. Hirata

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

Current and future galaxy surveys cover a large fraction of the entire sky with a significant redshift range, and the recent theoretical development shows that general relativistic effects are present in galaxy clustering on very large…

宇宙学与河外天体物理 · 物理学 2015-06-16 Jaiyul Yoo , Uros Seljak

We investigate the corrections which relativistic light-cone computations induce on the correlation of the tangential shear with galaxy number counts, also known as galaxy-galaxy lensing. The standard-approach to galaxy-galaxy lensing…

宇宙学与河外天体物理 · 物理学 2018-06-15 Basundhara Ghosh , Ruth Durrer , Elena Sellentin

We present a formalism for analyzing galaxy clustering on the lightcone with the 2-point correlation in the Spherical Fourier-Bessel (SFB) formalism, which is a natural choice to account for all wide-angle and relativistic (GR) effects. We…

宇宙学与河外天体物理 · 物理学 2025-01-15 Federico Semenzato , Daniele Bertacca , Alvise Raccanelli

We describe the effects of weak gravitational lensing by cosmological large scale structure on the diffuse emission of 21 centimeter radiation from neutral hydrogen at high redshifts during the era of reionization. The ability to observe…

天体物理学 · 物理学 2010-11-11 Kaisey S. Mandel , Matias Zaldarriaga

We present analyses of the two-point correlation function derived from an all-sky redshift survey of 5313 galaxies extracted from the Infrared Astronomical Satellite (IRAS) database. The redshift space correlation function \xi(s) is well…

天体物理学 · 物理学 2015-06-24 Karl B. Fisher , Marc Davis , Michael A. Strauss , Amos Yahil , John Huchra

Context. Weak gravitational lensing is a powerful probe of large-scale structure and cosmology. Most commonly, second-order correlations of observed galaxy ellipticities are expressed as a projection of the matter power spectrum,…

宇宙学与河外天体物理 · 物理学 2010-08-25 Martin Kilbinger