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Related papers: The Correlation Function in Redshift Space: Genera…

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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…

Astrophysics · Physics 2015-06-24 Karl B. Fisher , Marc Davis , Michael A. Strauss , Amos Yahil , John Huchra

A theoretical formulation for the two-point correlation function on a light-cone is developed in the redshift space. On the basis of the previous work by Yamamoto & Suto (1999), in which a theoretical formula for the two-point correlation…

Astrophysics · Physics 2009-10-31 Hiroaki Nishioka , Kazuhiro Yamamoto

We explore linear redshift distortions in wide angle surveys from the point of view of symmetries. We show that the redshift space two-point correlation function can be expanded into tripolar spherical harmonics of zero total angular…

Astrophysics · Physics 2009-11-10 Istvan Szapudi

In the near future, cosmology will enter the wide and deep galaxy survey area allowing high-precision studies of the large scale structure of the universe in three dimensions. To test cosmological models and determine their parameters…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-11 J. -E. Campagne , S. Plaszczynski , J. Neveu

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

We study wide-angle correlations in the galaxy power spectrum in redshift space, including all general relativistic effects and the Kaiser Rocket effect in general relativity. We find that the Kaiser Rocket effect becomes important on large…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Daniele Bertacca

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

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

This paper and the others in the series challenge the standard model of the effects of gravitational lensing on observations at large distances. We show that due to the cumulative effect of lensing, areas corresponding to an observed solid…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Nazeem Mustapha , B. A. Bassett , Charles Hellaby , G. F. R. Ellis

We have investigated the redshift space distortions in the optically selected Durham/UKST Galaxy Redshift Survey using the 2-point galaxy correlation function perpendicular and parallel to the observer's line of sight. We present results…

Astrophysics · Physics 2009-10-30 A. Ratcliffe , T. Shanks , R. Fong , Q. A. Parker

We investigate the cosmological dependence and the constraining power of large-scale galaxy correlations, including all redshift-distortions, wide-angle, lensing and gravitational potential effects on linear scales. We analyze the…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Alvise Raccanelli , Francesco Montanari , Daniele Bertacca , Olivier Doré , Ruth Durrer

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…

Astrophysics · Physics 2009-10-30 Takahiro T. Nakamura , Takahiko Matsubara , Yasushi Suto

Relativistic aberration influences apparent luminosities of objects moving with relativistic relative velocities. The superluminosity or dimming of incoming or receding jets ejected from Active Galactic Nuclei is believed to be the…

Astrophysics · Physics 2007-05-23 Oleg Semyonov

We examine the effects of the linear and the cosmological redshift-space distortions on the power spectrum of cosmological objects on a light cone. We develop theoretical formulae for the power spectrum in linear theory of density…

Astrophysics · Physics 2009-10-31 Hiroaki Nishioka , Kazuhiro Yamamoto

We present an analytical approximation formula for the luminosity distance in spatially flat cosmologies with dust and a cosmological constant. Apart from the overall factor, the effect of non-zero cosmological constant in our formula is…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-03 Masaru Adachi , Masumi Kasai

We use the formalism of Szapudi(2004} to derive full explicit expressions for the linear two-point correlation function, including redshift space distortions and large angle effects. We take into account a non-perturbative geometric term in…

Astrophysics · Physics 2010-12-16 Peter Papai , Istvan Szapudi

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

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

Cosmological redshift z grows as the Universe expands and is conventionally viewed as a third form of redshift, beyond the more traditional Doppler and gravitational effects seen in other applications of general relativity. In this paper,…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-26 Fulvio Melia

I examine the interpretation of photon redshifts in curved spacetime, as being gravitational or Doppler in origin. In Friedmann-Lema\^itre-Robertson-Walker spacetime, redshifts between comoving observers are often attributed to "expanding…

General Relativity and Quantum Cosmology · Physics 2019-11-14 Colin MacLaurin