COBE constraints on a compact toroidal low-density universe
Abstract
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 four-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 Λ-dominant epoch well after the last scattering. The maximum allowed number of images of the cell, N (fundamental domain), within the observable region at present is approximately 49 for Ωm = 0.1 and ΩΛ = 0.9, whereas N~8 for Ωm = 1.0 and ΩΛ = 0.
- Publication:
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Classical and Quantum Gravity
- Pub Date:
- May 2001
- DOI:
- 10.1088/0264-9381/18/10/310
- arXiv:
- arXiv:astro-ph/0011462
- Bibcode:
- 2001CQGra..18.1967I
- Keywords:
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- Astrophysics
- E-Print:
- 13 pages using RevTeX, 5 eps files, typos corrected