The linear velocity field of SDSS DR7 galaxies: constraints on flow amplitudes and the growth rate

Large-scale peculiar motion modulates the observed luminosity distribution of galaxies. Using about half a million SDSS galaxies, this can be harnessed to obtain bounds on peculiar velocity moments, the amplitude of the linear matter power spectrum, $σ_{8}$, and the growth rate of density perturbations at z ~ 0.1. Results obtained from this approach agree well with the predictions of the $Λ$CDM model and are consistent with the reported ~ 1% zero-point tilt in the SDSS photometry.

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