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

Abstract

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. βestimation with this equation from the PSC$z$ redshift galaxy survey and the SEcat catalogue of peculiar velocities is carried out, returning a value of β= 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.

Accepted for publication in MNRAS

References in corpus (6)

• Cosmology with the Sunyaev-Zel'dovich Effect
• The 6dF Galaxy Survey: Samples, Observational Techniques and the First Data Release
• An estimate of Ω_m without priors
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Cited by in corpus (6)

• The 6dF Galaxy Survey: Final Redshift Release (DR3) and Southern Large-Scale Structures
• The 6dF Galaxy Survey: Fundamental Plane Data
• Update on HI data collection from GBT, Parkes and Arecibo telescopes for the Cosmic Flows project
• Generalized Layzer-Irvine equation: the role of dark energy perturbations in cosmic structure formation
• The Low Redshift survey at Calar Alto (LoRCA)
• Layzer-Irvine equation: new perspectives and the role of interacting dark energy