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Large-scale redshift space distortions in modified gravity theories

Hernández-Aguayo, César; Hou, Jiamin; Li, Baojiu; Baugh, Carlton; Sánchez, Ariel G.

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César Hernández-Aguayo

Jiamin Hou

Carlton Baugh

Ariel G. Sánchez


Measurements of redshift space distortions (RSD) provide a means to test models of gravity on large-scales. We use mock galaxy catalogues constructed from large N-body simulations of standard and modified gravity models to measure galaxy clustering in redshift space. We focus our attention on two of the most representative and popular families of modified gravity models: the Hu & Sawicki f(R) gravity and the normal branch of the DGP model. The galaxy catalogues are built using a halo occupation distribution (HOD) prescription with the HOD parameters in the modified gravity models tuned to match with the number density and the real-space clustering of BOSS-CMASS galaxies. We employ two approaches to model RSD: the first is based on linear perturbation theory and the second models non-linear effects on small-scales by assuming standard gravity and including biasing and RSD effects. We measure the monopole to real-space correlation function ratio, the quadrupole to monopole ratio, clustering wedges and multipoles of the correlation function and use these statistics to find the constraints on the distortion parameter, β. We find that the linear model fails to reproduce the N-body simulation results and the true value of β on scales s < 40 h−1Mpc, while the non-linear modelling of RSD recovers the value of β on the scales of interest for all models. RSD on large scales (s ≳ 20 − 40 h−1Mpc) have been found to show significant deviations from the prediction of standard gravity in the DGP models. However, the potential to use RSD to constrain f(R) models is less promising, due to the different screening mechanism in this model.

Journal Article Type Article
Acceptance Date Feb 15, 2019
Online Publication Date Feb 20, 2019
Publication Date May 11, 2019
Deposit Date Dec 11, 2018
Publicly Available Date Feb 28, 2019
Journal Monthly Notices of the Royal Astronomical Society
Print ISSN 0035-8711
Electronic ISSN 1365-2966
Publisher Royal Astronomical Society
Peer Reviewed Peer Reviewed
Volume 485
Issue 2
Pages 2194-2213
Public URL
Related Public URLs


Accepted Journal Article (2.5 Mb)

Copyright Statement
© 2019 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society.

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