Abstract
The cosmic microwave background (CMB) is a unique probe of cosmological parameters and conditions. There is a connection between anisotropy in the CMB and the topology of the Universe. Adopting a universe with the topology of a 3-Torus, or a universe where only harmonics of the fundamental mode are allowed, and using 2-years of COBE/DMR data, we obtain constraints on the topology of the Universe. We obtain more accurate results than previous work by using all multipole moments, avoiding approximations by computing their full covariance matrix. The best fit for a cubic toroidal universe is obtained at a scale of 7200h−1Mpc for n = 1. The data set a lower limit on the cell size of 4320h−1Mpc at 95% confidence and 5880h−1Mpc at 68% confidence. These results show that the most probable cell size would be around 1.2 times larger than the horizon scale, implying that the 3-Torus topology is no longer an interesting cosmological model.
Published Version
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