CMB anisotropy power spectrum of 3-sphere universe for low l

2018/08/30 by Youngsub Yoon, Yoon, Youngsub
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th) #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1808.10757

6 pages, Omega_tot calculated

openalex publication_date 2018/08/30 · arxiv created 2020/12/15 · arxiv updated 2020/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the CMB anisotropy power spectrum of a closed universe for large angle (i.e., low l) due to a scale invariant fluctuation of primordial universe by considering the spherical harmonics for 3-sphere. In particular, contrary to the wide belief, we show that this consideration affects the CMB anisotropy power spectrum; instead of constant l(l+1)C_l, our consideration results in the supression for l=2, currently explained by the cosmic variance. As a more concrete proof of our analysis, from the low l CMB anisotropy data alone, we obtained Ω_tot=1.0018^+0.0031_-0.0007, which agrees with Ω_tot=1.0023^{+ 0.0056}_{- 0.0054} from the previous anlaysis of WMAP+BAO+H₀. Thus, we conclude that our Universe is closed.

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