Imprint of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>gravity on nonlinear structure formation

Achitouv, Ixandra; Baldi, Marco; Puchwein, Ewald; Weller, J.

doi:10.1103/physrevd.93.103522

Cited by 39 publications

(55 citation statements)

References 93 publications

(133 reference statements)

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“…(A20), from the Markovian f 0 , Eq. (A15) from which the corresponding conditional mass function (A17) can be easily obtained for moving barriers, see [60,87]. Another way to understand halo bias, besides the peak-background split, is in terms of the peak model [13], which takes into account that proto-halos are high (low) density peaks, which are naturally (anti-)clustered in a Gaussian random field.…”

Section: A Halo Mass Functionmentioning

confidence: 99%

“…IV. In the next subsections we introduce and calibrate the bias model, developed in [52] and extended in [60].…”

Section: B Streaming Model Ingredients From Clptmentioning

confidence: 99%

“…For a standard ΛCDM Universe, κ ∼ 0.65. In [60] the solution was extended to a diffusive barrier with general shape. Using a simple drifting term, the multiplicity function to first order in κ is given by…”

Section: A Halo Mass Functionmentioning

confidence: 99%

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Gaussian streaming with the truncated Zel’dovich approximation

2016

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We calculate the dark matter halo correlation function in redshift space using the Gaussian streaming model (GSM). To determine the scale dependent functions entering the streaming model we use local Lagrangian bias together with Convolution Lagrangian perturbation theory (CLPT) which constitutes an approximation to the Post-Zel'dovich approximation. On the basis of N-body simulations we demonstrate that a smoothing of the initial conditions with the Lagrangian radius improves the Zel'dovich approximation and its ability to predict the displacement field of proto-halos. Based on this observation we implement a "truncated" CLPT by smoothing the initial power spectrum and investigate the dependence of the streaming model ingredients on the smoothing scale. We find that the real space correlation functions of halos and their mean pairwise velocity are optimised if the coarse graining scale is chosen to be 1 Mpc/h at z = 0, while the pairwise velocity dispersion is optimised if the smoothing scale is chosen to be the Lagrangian size of the halo. We compare theoretical results for the halo correlation function in redshift space to measurements within the Horizon Run 2 N-body simulation halo catalog. We find that this simple two-filter smoothing procedure in the spirit of the truncated Zel'dovich approximation significantly improves the GSM+CLPT prediction of the redshift space halo correlation function over the whole mass range from large galaxy to galaxy cluster-sized halos.

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Section: A Halo Mass Functionmentioning

confidence: 99%

“…IV. In the next subsections we introduce and calibrate the bias model, developed in [52] and extended in [60].…”

Section: B Streaming Model Ingredients From Clptmentioning

confidence: 99%

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Gaussian streaming with the truncated Zel’dovich approximation

2016

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“…[13]), measuring their abundance or their density profiles (e.g. [1,[14][15][16]) or looking at the clustering of matter in underdense environments [17,18].…”

Section: Introductionmentioning

confidence: 99%

“…We apply this method to an f (R) modified gravity model and recover the N-body simulation results of [1] for the void profiles and their deviation from GR. This method can potentially be extended to study other properties of the large scale structures such as the abundance of voids or overdense environments.…”

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confidence: 99%

Testing the imprint of nonstandard cosmologies on void profiles using Monte Carlo random walks

Achitouv

2016

Phys. Rev. D

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Using a Monte Carlo random walks of a log-normal distribution, we show how to qualitatively study void properties for non-standard cosmologies. We apply this method to an f (R) modified gravity model and recover the N-body simulation results of [1] for the void profiles and their deviation from GR. This method can potentially be extended to study other properties of the large scale structures such as the abundance of voids or overdense environments. We also introduce a new way to identify voids in the cosmic web, using only a few measurements of the density fluctuations around random positions. This algorithm allows to select voids with specific profiles and radii. As a consequence, we can target classes of voids with higher differences between f (R) and standard gravity void profiles. Finally we apply our void criteria to galaxy mock catalogues and discuss how the flexibility of our void finder can be used to reduce systematics errors when probing the growth rate in the galaxy-void correlation function.

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Cosmology and fundamental physics with the Euclid satellite

Amendola¹,

Appleby²,

Avgoustidis³

et al. 2018

Living Rev Relativ

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Euclid is a European Space Agency medium-class mission selected for launch in 2020 within the cosmic vision 2015–2025 program. The main goal of Euclid is to understand the origin of the accelerated expansion of the universe. Euclid will explore the expansion history of the universe and the evolution of cosmic structures by measuring shapes and red-shifts of galaxies as well as the distribution of clusters of galaxies over a large fraction of the sky. Although the main driver for Euclid is the nature of dark energy, Euclid science covers a vast range of topics, from cosmology to galaxy evolution to planetary research. In this review we focus on cosmology and fundamental physics, with a strong emphasis on science beyond the current standard models. We discuss five broad topics: dark energy and modified gravity, dark matter, initial conditions, basic assumptions and questions of methodology in the data analysis. This review has been planned and carried out within Euclid’s Theory Working Group and is meant to provide a guide to the scientific themes that will underlie the activity of the group during the preparation of the Euclid mission.

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Imprint off(R)gravity on nonlinear structure formation

Cited by 39 publications

References 93 publications

Gaussian streaming with the truncated Zel’dovich approximation

Gaussian streaming with the truncated Zel’dovich approximation

Testing the imprint of nonstandard cosmologies on void profiles using Monte Carlo random walks

Cosmology and fundamental physics with the Euclid satellite

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