Papers › An Accurate Fitting Function For Scale-dependent Growth Rate in Hu-Sawicki f(R) Gravity

An Accurate Fitting Function For Scale-dependent Growth Rate in Hu-Sawicki f(R) Gravity

18 Jun 2019arXiv:1906.07683links table onlyarchive 2025-07-28

Nareg Mirzatuny, Elena Pierpaoli

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We present a simple fitting formula for the scale-dependent growth rate of Hu-Sawicki model in f(R) modified gravity. We compare the accuracy of the fitting function against numerical results and report achieving a sub-percent maximum error for all different studied cases. The validity of the fitting function is tested against a wide range of scales, 10⁻⁴ ≤k ≤5 [Mpc⁻¹] , for various redshift values in the range of z ∈[0.0, 3.0] and different |f_R⁰| values. This formula is useful in producing predictions for cosmological probes that are sensitive to growth rate such as redshift space distortions, galaxy-galaxy correlation function, peculiar velocity statistics and pairwise velocities of galaxy clusters.

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