Homogeneous spheroid model for cosmological peculiar velocity fields

Details Homogeneous spheroid model for cosmological peculiar velocity fields Homogeneous spheroid model for cosmological peculiar velocity fields

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992pasj...44..561w&link_type=abstract

PASJ: Publications of the Astronomical Society of Japan (ISSN 0004-6264), vol. 44, no. 6, p. 561-573.

Mathematics

Logic

3

Astronomical Models, Galactic Clusters, Space Density, Velocity Distribution, Red Shift, Relativistic Velocity, Spheroids

Scientific paper

Models of cosmological peculiar velocity fields are constructed using homogeneous spheroids. An approximate formula of velocity field is derived which is applicable to both oblate and prolate configurations and valid until the density contrast of the spheroids grow to delta roughly 10. Using it, we calculate the transformations of configuration and volume of a spheroid from real space to redshift space. Its shape does not appreciably change as far as the peculiar velocity is sufficiently smaller than the Hubble velocity. Its volume in redshift space, however, sensitively varies with that in real space. Thus, the mean density contrasts in redshift space can be several times as large as that in real space. The results strongly depend on the axial ratio of the spheroids and on the value of the cosmological density parameter Omega. It is difficult to determine the value of Omega without knowing the exact values of the infall velocity of the local group, the density contrast of the spheroid, and the shape of the system, including whether the system is oblate or prolate.

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