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- W1916633054 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 |${cal C}^{rm s}_{ell }(k_1,k_2)$| 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 |$varphi (r)propto exp (-{r^2/r^2_0}), r_0=150h^{-1},$|Mpc, and number density of galaxies |$bar{it N} =10^{-4};{rm Mpc}^{-3}$|, we use a χ2 analysis, and find that the lower order (ℓ ≤ 25) multipoles of |${cal C}^{rm s}_ell (k,k^{prime })$| (with radial modes restricted to k < 0.2 h Mpc−1) can constraint the parameter |$f_{R_0}$| 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." @default.
- W1916633054 created "2016-06-24" @default.
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- W1916633054 date "2015-12-24" @default.
- W1916633054 modified "2023-09-25" @default.
- W1916633054 title "Galaxy clustering in 3D and modified gravity theories" @default.
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- W1916633054 doi "https://doi.org/10.1093/mnras/stv2724" @default.
- W1916633054 hasPublicationYear "2015" @default.
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