Modeling the Nonlinear Clustering in Modified Gravity Models. I. A Fitting Formula for the Matter Power Spectrum of f(R) Gravity
Abstract
Based on a suite of Nbody simulations of the HuSawicki model of f(R) gravity with different sets of model and cosmological parameters, we develop a new fitting formula with a numeric code, MGHalofit, to calculate the nonlinear matter power spectrum P(k) for the HuSawicki model. We compare the MGHalofit predictions at various redshifts (z <= 1) to the f(R) simulations and find that the relative error of the MGHalofit fitting formula of P(k) is no larger than 6% at k <= 1 h Mpc^{1} and 12% at k in (1, 10] h Mpc^{1}, respectively. Based on a sensitivity study of an ongoing and a future spectroscopic survey, we estimate the detectability of a signal of modified gravity described by the HuSawicki model using the power spectrum up to quasinonlinear scales.
 Publication:

The Astrophysical Journal Supplement Series
 Pub Date:
 April 2014
 DOI:
 10.1088/00670049/211/2/23
 arXiv:
 arXiv:1312.1291
 Bibcode:
 2014ApJS..211...23Z
 Keywords:

 cosmology: observations;
 cosmology: theory;
 galaxies: halos;
 largescale structure of universe;
 Astrophysics  Cosmology and Nongalactic Astrophysics
 EPrint:
 28 AAS pages, 6 figures. Minor revision reflecting the accepted version by The Astrophysical Journal Supplement Series. The MGHalofit code is publicly available at http://icosmology.info/website/MGHalofit.html