COBE Constraints on a Compact Toroidal Low-density Universe

Details COBE Constraints on a Compact Toroidal Low-density Universe COBE Constraints on a Compact Toroidal Low-density Universe

2000-11-24

arxiv.org/abs/astro-ph/0011462v2

Class.Quant.Grav. 18 (2001) 1967-1977

Astronomy and Astrophysics

Astrophysics

13 pages using RevTeX, 5 eps files, typos corrected

Scientific paper

10.1088/0264-9381/18/10/310

In this paper, the cosmic microwave background (CMB) anisotropy in a multiply-connected compact flat 3-torus model with the cosmological constant is investigated. Using the COBE-DMR 4-year data, a full Bayesian analysis revealed that the constraint on the topology of the flat 3-torus model with low-matter-density is less stringent. As in compact hyperbolic models, the large-angle temperature fluctuations can be produced as the gravitational potential decays at the $\Lambda$-dominant epoch well after the last scattering. The maximum allowed number $N$ of images of the cell (fundamental domain) within the observable region at present is approximately 49 for $\Omega_m=0.1$ and $\Omega_\Lambda=0.9$ whereas $N\sim8$ for $\Omega_m=1.0$ and $\Omega_\Lambda=0$.

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