An upper limit to the density inhomogeneity in the universe

Mathematics

Scientific paper

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Density Distribution, Gravitational Lenses, Inhomogeneity, Limits (Mathematics), Universe, Dark Matter, Luminosity, Quasars, Red Shift

Scientific paper

An upper limit to the amplitude of the overall density fluctuation has been found by means of the gravitational lensing effect of the density inhomogeneity on the luminosities of quasars with larger redshifts. The observed differences of luminosities of quasars located at different directions are partially given by the lensing effect, therefore, a useful upper limit to the inhomogeneity can be derived if the luminosity distribution of quasars is uniform enough. The authors obtain that, in the case of the density parameter of the Universe Ω = 1, the overall matter should be less clustered than the luminous matter by a factor of at least 3. This result may not favour the biased dark matter scenario for the formation of large-scale structure in the Universe.

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