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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 propose and construct a two-parameter perturbative expansion around a Friedmann-Lema\^{i}tre-Robertson-Walker geometry that can be used to model high-order gravitational effects in the presence of non-linear structure. This framework…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Sophia R. Goldberg , Timothy Clifton , Karim A. Malik

We analyze the 2-point correlation function (2PCF) of galaxy groups identified from the 2-degree Field Galaxy Redshift Survey with the halo based group finder recently developed by Yang et al (2004b). With this group catalogue we are able…

Astrophysics · Physics 2009-11-10 Xiaohu Yang , H. J. Mo , Frank C. van den Bosch , Y. P. Jing

We have investigated the statistical clustering properties of galaxies by calculating the 2-point galaxy correlation function from the Durham/UKST Galaxy Redshift Survey. This survey is magnitude limited to bj = 17, contains 2500 galaxies…

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

The apparent anisotropies of the galaxy clustering in observable redshift space provide a unique opportunity to simultaneously probe cosmic expansion and gravity on cosmological scales via the Alcock--Paczynski effect and redshift-space…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-25 Yong-Seon Song , Atsushi Taruya , Akira Oka

We present new estimates of the spatial two-point correlation function of rich clusters of galaxies selected from the APM Galaxy Survey. We have measured redshifts for a sample of $364$ clusters out to a depth of $\sim 450\hmpc$. The…

Astrophysics · Physics 2016-06-08 G. B. Dalton , R. A. C. Croft , G. Efstathiou , W. J. Sutherland , S. J. Maddox , M. Davis

In this paper we calculate the linear perturbations of the cosmological redshift drift. We show explicitly that our expressions are gauge-invariant and compute the power spectrum of the redshift drift perturbations and its correlations with…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-30 Pedro Bessa , Ruth Durrer , Dennis Stock

We present a new method for consistent, joint analysis of the pre- and post-reconstruction two-point functions of the BOSS survey. The post-reconstruction correlation function is used to accurately measure the distance-redshift relation and…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-09 Shi-Fan Chen , Zvonimir Vlah , Martin White

Doppler lensing, a relativistic effect resulting from the peculiar velocities of galaxies along the line of sight, provides insight into the large-scale structure of the Universe. Relativistic simulations are essential for modeling Doppler…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-23 Mubtasim Fuad , Sonia Akter Ema , Md Rasel Hossen

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

Effects from nonstandard corrections to Newtonian gravity, at large scale, can be investigated using the cosmological structure formation. In particular, it is possible to show if and how a logarithmic correction (as that induced from…

General Relativity and Quantum Cosmology · Physics 2021-07-29 Salvatore Capozziello , Mir Faizal , Mir Hameeda , Behnam Pourhassan , Vincenzo Salzano

In recent years, deep learning approaches have achieved state-of-the-art results in the analysis of point cloud data. In cosmology, galaxy redshift surveys resemble such a permutation invariant collection of positions in space. These…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Sotiris Anagnostidis , Arne Thomsen , Tomasz Kacprzak , Tilman Tröster , Luca Biggio , Alexandre Refregier , Thomas Hofmann

General Relativity (GR) is consistent with a wide range of experiments/observations from millimeter scales up to galactic scales and beyond. However, there are reasons to believe that GR may need to be modified because it includes…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Leandros Perivolaropoulos , Lavrentios Kazantzidis

The next generation of cosmological surveys will operate over unprecedented scales, and will therefore provide exciting new opportunities for testing general relativity. The standard method for modelling the structures that these surveys…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Sophia R. Goldberg , Christopher Gallagher , Timothy Clifton

We compute the linear order, general relativistic corrections to angular redshift fluctuations (ARF), a new cosmological observable built upon density-weighted two-dimensional (2D) maps of galaxy redshifts. We start with an existing…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-21 Adal Lima-Hernández , Carlos Hernández-Monteagudo , Jonás Chaves-Montero

Consistency relations involving the soft limit of the (n + 1)-correlator functions of dark matter and galaxy overdensities can be obtained, both in real and redshift space, thanks to the symmetries enjoyed by the Newtonian equations of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Alexandros Kehagias , Jorge Noreña , Hideki Perrier , Antonio Riotto

We introduce the basic techniques used for the analysis of three dimensional and two dimensional galaxy samples. We report the correlation analysis of various redshift surveys which shows that the available data are consistent with each…

Astrophysics · Physics 2007-05-23 L. Pietronero , F. Sylos Labini , M. Montuori

We present the results of a study of the two-point correlation function for a sample of field galaxies taken from the CNOCI cluster survey. The sample consists of 144 galaxies within a contiguous region of space subtending 225 square…

Astrophysics · Physics 2007-05-23 C. W. Shepherd , R. G. Carlberg , H. K. C. Yee , E. Ellingson

Objects falling into an overdensity appear larger on its near side and smaller on its far side than other objects at the same redshift. This produces a dipolar pattern of magnification, primarily as a consequence of the Doppler effect. At…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-09 Camille Bonvin , Sambatra Andrianomena , David Bacon , Chris Clarkson , Roy Maartens , Teboho Moloi , Philip Bull

General relativity is exquisitely tested in strong-field regimes, yet its validity on cosmological scales remains largely unexplored. Upcoming wide and deep large-scale structure surveys will access the ultra-large, linear scales where…