TY - JOUR

T1 - The Gaussian cell two-point 'energy-like' equation

T2 - Application to large-scale galaxy redshift and peculiar motion surveys

AU - Zaroubi, Saleem

AU - Branchini, Enzo

PY - 2005/2/21

Y1 - 2005/2/21

N2 - 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 at 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 Irvine-Layzer cosmic energy equation, β estimation with this equation from the Point Source Catalogue Redshift (PSC) 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 β could be determined with ≈10 per cent 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 non-parametric mass-density power-spectrum estimator from peculiar-velocity data.

AB - 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 at 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 Irvine-Layzer cosmic energy equation, β estimation with this equation from the Point Source Catalogue Redshift (PSC) 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 β could be determined with ≈10 per cent 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 non-parametric mass-density power-spectrum estimator from peculiar-velocity data.

KW - Cosmological parameters

KW - Cosmology: theory

KW - Galaxies: clusters: general

KW - Galaxies: distances and redshifts

KW - Large-scale structure of Universe

UR - http://www.scopus.com/inward/record.url?scp=14544285927&partnerID=8YFLogxK

U2 - 10.1111/j.1365-2966.2005.08620.x

DO - 10.1111/j.1365-2966.2005.08620.x

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AN - SCOPUS:14544285927

SN - 0035-8711

VL - 357

SP - 527

EP - 534

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

IS - 2

ER -