Abstract
The red-shift space distortions in the galaxy power spectrum can be used to measure the growth rate of matter density perturbations δm.For dynamical dark energy models in General Relativitywe provide a convenient analytic formula of f(z)σ8(z)written as a function of the redshift z, where f = dln δm/dln a(a is the cosmological scale factor) and σ8 is the rms amplitude of over-density at the scale 8 h−1 Mpc.Our formula can be applied to the models of imperfect fluids, quintessence, and k-essence, provided that the dark energy equation of state w does not vary significantly and that the sound speed is not much smaller than 1.We also place observational constraints on dark energy modelsof constant w and tracking quintessence from the recent data of red-shift space distortions.
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