Constraining cosmology with pairwise velocity estimator

Abstract

In this paper, we develop a full statistical method for the pairwise velocity estimator previously proposed, and apply Cosmicflows-2 catalogue to this method to constrain cosmology. We first calculate the covariance matrix for line-of-sight velocities for a given catalogue, and then simulate the mock full-sky surveys from it, and then calculate the variance for the pairwise velocity field. By applying the $8315$ independent galaxy samples and compressed $5224$ group samples from Cosmicflows-2 catalogue to this statistical method, we find that the joint constraint on ${\Omega }_{\mathrm{m}}^{0.6}h$ and ${\sigma }_8$ is completely consistent with the WMAP 9-year and Planck 2015 best-fitting cosmology. Currently, there is no evidence for the modified gravity models or any dynamic dark energy models from this practice, and the error-bars need to be reduced in order to provide any concrete evidence against/to support $\Lambda$CDM cosmology.

7 pages, 6 figures

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• Distinguishing screening mechanisms with environment-dependent velocity statistics
• Turbulence-induced deviation between baryonic field and dark matter field in the spatial distribution of the Universe
• Measuring the Hubble constant through the galaxy pairwise peculiar velocity
• Measuring neutrino mass and asymmetry with matter pairwise velocities
• On the statistical theory of self-gravitating collisionless dark matter flow: Scale and redshift variation of velocity and density distributions
• On the statistical theory of self-gravitating collisionless dark matter flow: high order kinematic and dynamic relations
• Probing the Type 3 interacting dark-energy model using matter pairwise velocity
• Squared-field cross-correlation between kinetic Sunyaev-Zel'dovich effect and 21-cm intensity mapping