Normalization, cold dark matter, and large-scale velocities

Details Normalization, cold dark matter, and large-scale velocities Normalization, cold dark matter, and large-scale velocities

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...318l...7h&link_type=abstract

Astrophysical Journal, Part 2 - Letters to the Editor (ISSN 0004-637X), vol. 318, July 1, 1987, p. L7-L10.

Mathematics

Logic

16

Astronomical Models, Astronomical Spectroscopy, Cold Plasmas, Dark Matter, Hubble Diagram, Velocity Distribution

Scientific paper

The recent observational studies of the large-scale peculiar velocity field set very strong constraints on the various cosmological models, in particular on the standard model where structure evolves gravitationally from a Gaussian density perturbation (δ) field. This letter discusses the normalization of the perturbation spectrum in the standard theory of gravitational instabilities. It is found that for an actual value of σ = 1.0, the linear theory overestimates the normalization constant, and therefore the amplitude of the velocity field, by a factor of about 5/3. Applying this (quasi-linear) normalization to the cold dark matter model, the author shows it to be incompatible with the recent observations of the 50 h-1Mpc bulk velocity, as well as with the microwave background dipole velocity, even for Ω0 = 0.1 and h = 0.5.

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