The largest possible voids

Astronomy and Astrophysics – Astrophysics

Scientific paper

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59

Galactic Clusters, Gravitational Fields, Mass Distribution, Relic Radiation, Hubble Constant, Perturbation Theory, Spatial Distribution, Voids

Scientific paper

Observational constraints on the isotropy of the microwave background on angular scales greater than 1 deg seriously limit the possible fluctuations in the gravitational potential in the universe because of the Sachs-Wolfe effect. Consequently, they also provide a limit on the initial density inhomogeneities in the universe. These limits are used to show that the typical voids in the mass distribution in an Omega = 1 universe have limiting diameter of less than 80/h Mpc and that, for Gaussian initial fluctuations, there should be at most one void in the whole Hubble volume with a diameter greater than 130/h Mpc. Consequently, the observation of voids in the galaxy distribution larger than the above limit would imply that either (1) gravitational instabilities do not produce the observed structure on large scales, (2) variations in the galaxy distribution can be much more extreme than in the mass distribution (that is, light does not trace mass), or (3) the universe has a density parameter not equal to unity.

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