Microwave background anisotropy in a toroidal universe

Details Microwave background anisotropy in a toroidal universe Microwave background anisotropy in a toroidal universe

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvl..71...20s&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 71, no. 1, p. 20-23.

Mathematics

Logic

109

Astronomical Models, Background Radiation, Cosmology, Microwaves, Topology, Anisotropy, Cosmic Background Explorer Satellite, Toroids, Universe

Scientific paper

Large-scale cosmic microwave background temperature fluctuations are calculated for a universe with the topology of a 3-torus. In such a universe only perturbations which are harmonics of the fundamental mode are permitted. By comparison with data from the Cosmic Background Explorer satellite, we find that the minimum (comoving) scale of a cubic toroidal universe is 2400/h Mpc for an n = 1 inflationary model. This is approximately an order of magnitude greater than previous limits and 80 percent of the horizon scale, implying that a topologically 'small' universe is no longer an interesting cosmological model.

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