2.7 K radiation and the isotropy of the universe

Mathematics – Logic

Scientific paper

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Background Radiation, Cosmology, Relic Radiation, Universe, Angular Resolution, Geodesic Lines, Ionization, Isotropy, Temperature Distribution

Scientific paper

The temperature distribution of the microwave background radiation expected in flat and open cosmological models with shear is studied. In the flat (Bianchi type I) model, the anisotropy is quadrupole-like. In the open (type V) model, the anisotropy is focused into a small region of the sky: the 'hot spot'. The measurements of the temperature distribution of the microwave background radiation constrain the present value of the shear to be less than 10 to the -6th x H(0) for density parameter Omega (0) between 0.1 and 1, whatever the ionization history of the primordial hydrogen may be. If the secondary ionization is not strong enough to result in additional scatterings after the recombination, then this limit improves by two orders of magnitude for Omega (0) = 0.1 and by three orders for Omega (0) = 1. In general, the hot spot survives the epoch of reheating. It does not survive only when the optical depth created by the secondary ionization is close to unity and Omega (0) is 0.3 or less.

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