Errors on the measurement of Omega via cosmological dipoles

Astronomy and Astrophysics – Astronomy

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Astrometry, Cosmology, Error Analysis, Galactic Clusters, Local Group (Astronomy), Power Spectra, Red Shift, Relic Radiation, Spatial Distribution, Universe

Scientific paper

This paper considers the likely contribution of very large-wavelength modes to the peculiar motion of the Local Group. This velocity is often compared with an estimate from redshift surveys of the gravitational acceleration generated by galaxy clustering, in order to estimate the density parameter, Omega. We show that, for Gaussian density fields, the neglect of mass concentrations beyond the survey limit can produce a large change in magnitude of predicted velocity, while having little effect on the agreement in direction between the predicted and true velocities. We present realizations which show that spurious apparent convergence in the acceleration can occur quite commonly. Even for the deepest redshift surveys available to carry out this test, the fractional precision on Omega which can be obtained is likely to be poorer than an rms of 30-40 percent. The results from the cosmological dipole test therefore do not at present provide definite evidence for a high-density universe.

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