Universal rotation - How large can it be?

Statistics – Computation

Scientific paper

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Background Radiation, Computational Astrophysics, Rotation, Temperature Distribution, Universe, Astronomical Models, Vorticity

Scientific paper

A detailed analysis of the expected temperature distribution of cosmic microwave background radiation in flat, open, and closed universes possessing small anisotropies is presented. General temperature patterns on the sky are predicted, and their associated angular correlation functions are derived. The angular correlation functions are used to evaluate the largest level of cosmic vorticity which is compatible with existing observations of dipole and quadrupole fluctuations in the microwave background. Detailed limits to the permissable cosmic vorticity and large scale velocity field are given for all possible homogeneous cosmological models close to isotropy. The geodesic spiralling effect predicted to occur in the most flat, and open homogeneous anisotropic universes is also predicted studied in detail. It is shown that the geodesic spiralling effect can be used to determine by direct observation whether or not the universe is closed regardless of the proximity of density to critical levels.

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