Surviving cosmological models after the discovery of large-angle anisotropies of the cosmic microwave background

Mathematics – Logic

Scientific paper

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Anisotropy, Astronomical Models, Cosmology, Relic Radiation, Cosmic Background Explorer Satellite, Relativity, Universe

Scientific paper

Using new and first detections of the rms temperature fluctuations at 10 deg and the quadrupole anisotropy on the cosmic microwave background radiation by the COBE group together with the upper limits on small-scale anisotropies, constraints on various cosmological models are obtained. Complete analysis of the quadrupole anisotropy for flat and open universe models has been done. We calculate not only the Sachs-Wolfe effect and the effect of time variation of the gravitational potential, but also the intrinsic fluctuations from the initial perturbations at the decoupling time which play an important role in many cosmological models, in particular, models with initially isocurvature perturbations. With the results of COBE and the upper limits on small-angle observations of temperature fluctuations, we found that CDMs with h = 1.0 and HDMs with h = 0.5 are surviving if we consider only models which are consistent with the inflationary scenario.

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