CMB Anisotropy in Compact Hyperbolic Universes

dc.creatorInoue, Kaiki Taro
dc.date1999-03-30
dc.date1999-04-01
dc.date.accessioned2026-07-07T02:31:02Z
dc.date.available2026-07-07T02:31:02Z
dc.descriptionMeasurements 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 (computer program by Jeff Weeks) 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 $C_{l}$'s ($2 \leq l\leq18$) are calculated using computed eigenmodes for $5.4\leqk<10$ and Gaussian random approximation for the expansion coefficients for $10\leqk<20$. Assuming that the initial power spectrum is the Harrison-Zeldovich spectrum, the computed $C_l$'s are consistent with the COBE data for $0.1 \leqΩ_o \leq 0.6$. In low $Ω_o$ models, the large-angular fluctuations can be produced at periods after the last scattering as the curvature perturbations decay in the curvature dominant era.
dc.description4 pages, 1 EPS figure, to appear in AIP Conference Proceedings "3K Cosmology" held in Rome, Oct 5-10, 1998, edited by Luciano Maiani, Francesco Melchiorri and Nicola Vittorio, 343-347, New York, American Institute of Physics 1999
dc.identifierhttps://arxiv.org/abs/astro-ph/9903446
dc.identifierhttp://arxiv.org/abs/astro-ph/9903446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/14025
dc.subjectAstrophysics
dc.titleCMB Anisotropy in Compact Hyperbolic Universes
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