Mathematics – Logic
Scientific paper
Oct 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mnras.193..153g&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 193, Oct. 1980, p. 153-169. Research supported by the Alfred P. Sloan F
Mathematics
Logic
57
Cosmology, Mathematical Models, Relic Radiation, Topology, Universe, Black Body Radiation, Boundary Value Problems, Cosmic Dust, Galactic Clusters, Isotropy, Microwaves, Radii, Thermalization (Energy Absorption), Volume
Scientific paper
Topologically multiply connected universes with finite volume are shown to naturally produce the special initial conditions required by the Rees chaotic cosmology model. The paper investigates whether this can explain the isotropy of the microwave background radiation. It is shown that lower limits can be set on the proper radius of the fundamental volume in such a model by the failure to find multiple images of galaxy clusters in the Shane-Wirtanen sample. Further, for models where Omega0 is not equal to 1, topological constraints dictate larger values of RH, and the proper radius of the universe cannot be much smaller than its radius of curvature. Because of these constraints, multiply connected universes with chaotic initial conditions are not capable of thermalizing the cosmic black-body radiation with normal thermalization processes. Finally, if large amounts of dust are produced at early epochs, thermalization is possible for chaotic multiply connected models where Omega0 is not greater than 1
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