Astrophysics
[Submitted on 24 Nov 2000 (v1), last revised 30 Apr 2001 (this version, v2)]
Title:COBE Constraints on a Compact Toroidal Low-density Universe
View PDFAbstract: 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 $\Omega_\Lambda=0$.
Submission history
From: Kaiki Taro Inoue [view email][v1] Fri, 24 Nov 2000 17:00:47 UTC (328 KB)
[v2] Mon, 30 Apr 2001 09:02:46 UTC (358 KB)
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