### Abstract

The red-shift space distortions in the galaxy power spectrum can be used to measure the growth rate of matter density perturbations δ_{m}. For dynamical dark energy models in General Relativity we provide a convenient analytic formula of f(z)σ_{8} (z) written as a function of the redshift z, where f = dln δ_{m/dln} a (a is the cosmological scale factor) and σ_{8} 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 models of constant w and tracking quintessence from the recent data of red-shift space distortions.

Original language | English |
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Article number | 030 |

Journal | Journal of Cosmology and Astroparticle Physics |

Volume | 2013 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2013 Jan |

Externally published | Yes |

### Keywords

- dark energy theory
- galaxy clustering
- gravity
- modified gravity

### ASJC Scopus subject areas

- Astronomy and Astrophysics

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## Cite this

*Journal of Cosmology and Astroparticle Physics*,

*2013*(1), [030]. https://doi.org/10.1088/1475-7516/2013/01/030