Galaxy clustering in 3D and modified gravity theories

Munshi, D., Pratten, G., Valageas, P., Coles, P. ORCID: https://orcid.org/0000-0002-5535-2850 and Brax, P. 2016. Galaxy clustering in 3D and modified gravity theories. Monthly Notices of the Royal Astronomical Society 456 (2) , pp. 1627-1644. 10.1093/mnras/stv2724

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Abstract

We study Modified Gravity (MG) theories by modelling the redshifted matter power spectrum in a spherical Fourier–Bessel basis. We use a fully non-linear description of the real-space matter power spectrum and include the lowest order redshift-space correction (Kaiser effect), taking into account some additional non-linear contributions. Ignoring relativistic corrections, which are not expected to play an important role for a shallow survey, we analyse two different MG scenarios, namely the generalized Dilaton scalar–tensor theories and the f (R) models in the large curvature regime. We compute the 3D power spectrum Csℓ(k1,k2) Cℓs(k1,k2) for various such MG theories with and without redshift-space distortions, assuming precise knowledge of background cosmological parameters. Using an all-sky spectroscopic survey with Gaussian selection function φ(r)∝exp(−r2/r20),r0=150h−1 φ(r)∝exp⁡(−r2/r02),r0=150h−1 Mpc, and number density of galaxies N¯=10−4Mpc−3 N¯=10−4Mpc−3 , we use a χ2 analysis, and find that the lower order (ℓ ≤ 25) multipoles of Csℓ(k,k′) Cℓs(k,k′) (with radial modes restricted to k < 0.2 h Mpc−1) can constraint the parameter fR0 fR0 at a level of 2 × 10−5(3 × 10−5) with 3σ confidence for n = 1(2). Combining constraints from higher ℓ > 25 modes can further reduce the error bars and thus in principle make cosmological gravity constraints competitive with Solar system tests. However this will require an accurate modelling of non-linear redshift-space distortions. Using a tomographic β(a)–m(a) parametrization we also derive constraints on specific parameters describing the Dilaton models of MG.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	Oxford University Press
ISSN:	0035-8711
Funders:	STFC
Date of First Compliant Deposit:	31 May 2017
Date of Acceptance:	18 November 2015
Last Modified:	05 May 2023 08:27
URI:	https://orca.cardiff.ac.uk/id/eprint/101026

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