Astronomy and Astrophysics – Astrophysics
Scientific paper
1995-10-20
Astrophys.J. 468 (1996) 457
Astronomy and Astrophysics
Astrophysics
Minor revisions to match published version. 14 pages, with 4 figures included. Color figures and links at http://www.sns.ias
Scientific paper
10.1086/177706
Although the cubic T^3 "small universe" has been ruled out by COBE/DMR results as an interesting cosmological model, we still have the possibility of living in a universe with a more anisotropic topology such as a rectangular T^3 "small universe" with one or two of its dimensions significantly smaller than the present horizon (which we refer to as T^1- and T^2-models, respectively). In order to rule out these anisotropic topologies as well, we apply a new data analysis method that searches for the specific kind of symmetries that these models should produce. We find that the 4 year COBE/DMR data set a lower limit on the smallest cell size for T^1- and T^2-models of 3000h^{-1} Mpc, at 95% confidence, for a scale invariant power spectrum (n=1). These results imply that ALL toroidal universes (cubes and rectangles) are ruled out as interesting cosmological models.
de Oliveira-Costa Angélica
Smoot George F.
Starobinsky Alexei A.
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