Omega and the initial fluctuations from velocity and density fields

Details Omega and the initial fluctuations from velocity and density fields Omega and the initial fluctuations from velocity and density fields

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...405..437n&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 405, no. 2, p. 437-448.

Mathematics

Probability

74

Cosmology, Density (Mass/Volume), Probability Distribution Functions, Radial Velocity, Astronomical Models, Galactic Clusters

Scientific paper

We present a method for determining the cosmologic density parameter omega independently of biasing, while recovering the one-point probability distribution function of initial density fluctuations (IPDF) from quasilinear velocity and density fields. The key idea is that IPDF recovered from a velocity field is sensitive to the assumed omega, while the same IPDF could be determined from a density field independently of omega. The density field of IRAS galaxies, assuming that galaxies trace mass, indicates a Gaussian IPDF. The velocity field by POTENT from observed velocities, free of density biasing, agrees with a Gaussian IPDF if and only if omega is about unity or larger: an open universe is rejected at the 2 sigma level, and omega 0.3 or less is ruled out at the 4-6 sigma level using several different statistics. The fact that the simplest choices of omega = 1, Gaussian initial fluctuations and IRAS galaxies tracing mass are all consistent with one another under gravitational instability is a remarkable result in favor of the standard model.

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