Munshi, D. and Pratten, G. and Valageas, P. and Coles, Peter and Brax, P. (2016) Galaxy clustering in 3D and modified gravity theories. Monthly Notices of the Royal Astronomical Society, 456 (2). pp. 1627-1644. ISSN 0035-8711

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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) 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−1Mpc, and number density of galaxies N¯=10−4Mpc−3⁠, we use a χ2 analysis, and find that the lower order (ℓ ≤ 25) multipoles of Csℓ(k,k′) (with radial modes restricted to k < 0.2 h Mpc−1) can constraint the parameter 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
Keywords:	cosmological parameters; cosmology: theory; large-scale structure of Universe;
Academic Unit:	Faculty of Science and Engineering > Theoretical Physics
Item ID:	12503
Identification Number:	https://doi.org/10.1093/mnras/stv2724
Depositing User:	Peter Coles
Date Deposited:	03 Mar 2020 16:44
Journal or Publication Title:	Monthly Notices of the Royal Astronomical Society
Publisher:	The Royal Astronomical Society
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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