Mathematics – Logic
Scientific paper
May 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..476..343t&link_type=abstract
Conference on 3K cosmology. AIP Conference Proceedings, Volume 476, pp. 343-347 (1999).
Mathematics
Logic
Background Radiations
Scientific paper
Measurements of CMB anisotropy are ideal experiments for discovering the non-trivial global topology of the universe. To evaluate the CMB anisotropy in multiply-connected compact cosmological models, one needs to compute eigenmodes of the Laplace-Beltrami operator. We numerically obtain the eigenmodes on a compact 3-hyperbolic space cataloged as m003(-2,3) in SnapPea using the direct boundary element method, which enables one to simulate the CMB in multiply-connected compact models with high precision. The angular power spectra Cl's (2<=l<=18) are calculated using computed eigenmodes for 5.4<=k<10 and Gaussian random approximation for the expansion coefficients for 10<=k<20. Assuming that the initial power spectrum is the Harrison-Zeldovich spectrum, the computed Cl's are consistent with the COBE data for 0.1<=Ω0<=0.6. In low Ω0 models, the large-angular fluctuations can be produced at periods after the last scattering as the curvature perturbations decay in the curvature dominant era.
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