The Gaussian cell two-point "energy-like" equation: Application to large scale galaxy redshift and peculiar motion surveys

Details The Gaussian cell two-point "energy-like" equation: Application to large scale galaxy redshift and peculiar motion surveys The Gaussian cell two-point "energy-like" equation: Application to large scale galaxy redshift and peculiar motion surveys

2004-11-11

arxiv.org/abs/astro-ph/0411293v1

Mon.Not.Roy.Astron.Soc. 357 (2005) 527-534

Astronomy and Astrophysics

Astrophysics

Accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2005.08620.x

We introduce a simple linear equation relating the line-of-sight peculiar velocity and density contrast correlation functions. The relation, which we call the "Gaussian cell two-point energy-like equation", is valid in the distant-observer-limit and requires Gaussian smoothed fields. In the variance case, i.e., at zero lag, the equation is similar in its mathematical form to the Layzer-Irvine cosmic energy equation. \beta estimation with this equation from the PSC$z$ redshift galaxy survey and the SEcat catalogue of peculiar velocities is carried out, returning a value of \beta = 0.44+-0.08. The applicability of the method for the 6dF galaxy redshift and peculiar motions survey is demonstrated with mock data where it is shown that beta could be determined with ~5% accuracy. The prospects for constraining the dark energy equation of state with this method from the kinematic and thermal Sunyaev-Zel'dovich cluster surveys are discussed. The equation is also used to construct a nonparametric mass density power spectrum estimator from peculiar velocity data.

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