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The Zeldovich approximation, 1st order Lagrangian perturbation theory, provides a good description of the clustering of matter and galaxies on large scales. The acoustic feature in the large-scale correlation function of galaxies imprinted…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Martin White

Simulations have become an indispensable tool for accurate modelling of observables measured in galaxy surveys, but can be expensive if very large dynamic range in scale is required. We describe how to combine Lagrangian perturbation theory…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-05 Nickolas Kokron , Shi-Fan Chen , Martin White , Joseph DeRose , Mark Maus

The contribution of line-of-sight peculiar velocities to the observed redshift of objects breaks the translational symmetry of the underlying theory, modifying the predicted 2-point functions. These `wide angle effects' have mostly been…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-11 Emanuele Castorina , Martin White

Redshift-space distortions (RSD) in galaxy redshift surveys generally break both the isotropy and homogeneity of galaxy distribution. While the former aspect is particularly highlighted as a probe of growth of structure induced by gravity,…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Atsushi Taruya , Shohei Saga , Michel-Andrès Breton , Yann Rasera , Tomohiro Fujita

Measurements of the power spectrum from large-scale structure surveys have to date assumed an equal-time approximation, where the full cross-correlation power spectrum of the matter density field evaluated at different times (or distances)…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-05 T. D. Kitching , A. F. Heavens

Among several analytic approximations for the growth of density fluctuations in the expanding Universe, Zel'dovich approximation in Lagrangian coordinate scheme is known to be unusually accurate even in mildly non-linear regime. This…

Astrophysics · Physics 2009-10-30 Takahiko Matsubara , Ayako Yoshisato , Masahiro Morikawa

Numerical simulations in cosmology require trade-offs between volume, resolution and run-time that limit the volume of the Universe that can be simulated, leading to sample variance in predictions of ensemble-average quantities such as the…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-15 Joseph DeRose , Shi-Fan Chen , Nickolas Kokron , Martin White

The strong equivalence principle is extended in application to averaged dynamical fields in cosmology to include the role of the average density in the determination of inertial frames. The resulting cosmological equivalence principle is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David L. Wiltshire

Redshift space distortions (RSD) in the void-galaxy correlation $\xi^s$ provide information on the linear growth rate of structure in low density environments. Accurate modelling of these RSD effects can also allow the use of voids in…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-17 Seshadri Nadathur , Paul Carter , Will Percival

We compare relativistic approximation methods, which describe gravitational instability in the expanding universe, in a spherically symmetric model. Linear perturbation theory, second-order perturbation theory, relativistic Zel'dovich…

Astrophysics · Physics 2014-10-13 Masaaki Morita , Kouji Nakamura , Masumi Kasai

Nonlinear approximation methods such as the Zeldovich approximation, and more recently the frozen flow and linear potential approximations, are sometimes used to simulate nonlinear gravitational instability in the expanding Universe. We…

Astrophysics · Physics 2009-10-22 D. Munshi , A. A. Starobinsky

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

Among various analytic approximations for the growth of density fluctuations in the expanding Universe, Zel'dovich approximation and its extensions in Lagrangian scheme are known to be accurate even in mildly non-linear regime. The aim of…

Astrophysics · Physics 2009-10-30 Ayako Yoshisato , Takahiko Matsubara , Masahiro Morikawa

The accumulation of redshifts provides a significant observational bottleneck when using galaxy cluster surveys to constrain cosmological parameters. We propose a simple method to allow the use of samples where there is a fraction of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 A. Bonaldi , R. A. Battye , M. L. Brown

We show how the Zel'dovich approximation and the second order displacement field of Lagrangian perturbation theory can be obtained from a general relativistic gradient expansion in \Lambda{}CDM cosmology. The displacement field arises as a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Cornelius Rampf , Gerasimos Rigopoulos

We present a control-variate method for reducing the variance of power spectrum covariance matrix estimates from simulations of large-scale structure. The key idea is to pair each mock simulation with a cheap Zeldovich-approximation…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-28 Boryana Hadzhiyska , Martin White

The standard cosmological model is based on the fundamental assumptions of a spatially homogeneous and isotropic universe on large scales. An observational detection of a violation of these assumptions at any redshift would immediately…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-15 S. Nesseris , D. Sapone , M. Martinelli , D. Camarena , V. Marra , Z. Sakr , J. Garcia-Bellido , C. J. A. P. Martins , C. Clarkson , A. Da Silva , P. Fleury , L. Lombriser , J. P. Mimoso , S. Casas , V. Pettorino , I. Tutusaus , A. Amara , N. Auricchio , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , V. Capobianco , C. Carbone , J. Carretero , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , L. Conversi , Y. Copin , L. Corcione , F. Courbin , M. Cropper , H. Degaudenzi , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , A. Ealet , S. Farrens , P. Fosalba , M. Frailis , E. Franceschi , M. Fumana , B. Garilli , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , F. Hormuth , K. Jahnke , S. Kermiche , A. Kiessling , T. Kitching , M. Kümmel , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , O. Mansutti , O. Marggraf , K. Markovic , F. Marulli , R. Massey , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , L. Moscardini , E. Munari , S. M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , M. Poncet , L. Popa , G. D. Racca , F. Raison , J. Rhodes , M. Roncarelli , R. Saglia , B. Sartoris , P. Schneider , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. -L. Starck , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , E. A. Valentijn , L. Valenziano , Y. Wang , N. Welikala , G. Zamorani , J. Zoubian , S. Andreon , M. Baldi , S. Camera , E. Medinaceli , S. Mei , A. Renzi

The clustering of galaxies observed in future redshift surveys will provide a wealth of cosmological information. Matching the signal at different redshifts constrains the dark energy driving the acceleration of the expansion of the…

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 Zeldovich approximation is applied to study the accretion of hot and cold dark matter onto moving long strings. It is assumed that such defects carry a substantial amount of small-scale structure, thereby acting gravitationally as a…

Astrophysics · Physics 2009-12-30 V. Zanchin , J. A. S. Lima , R. Brandenberger
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