English

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

General Relativity and Quantum Cosmology 2020-12-16 v4 High Energy Physics - Theory

Abstract

We calculate the CMB anisotropy power spectrum of a closed universe for large angle (i.e., low ll) 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)Cll(l+1)C_l, our consideration results in the supression for l=2l=2, currently explained by the cosmic variance. As a more concrete proof of our analysis, from the low ll CMB anisotropy data \emph{alone}, we obtained Ωtot=1.00180.0007+0.0031\Omega_{\mathrm{tot}}=1.0018^{+0.0031}_{-0.0007}, which agrees with Ωtot=1.00230.0054+0.0056\Omega_{\mathrm{tot}}=1.0023^{+ 0.0056}_{- 0.0054} from the previous anlaysis of WMAP+BAO+H0H_0. Thus, we conclude that our Universe is closed.

Keywords

Cite

@article{arxiv.1808.10757,
  title  = {CMB anisotropy power spectrum of 3-sphere universe for low $l$},
  author = {Youngsub Yoon},
  journal= {arXiv preprint arXiv:1808.10757},
  year   = {2020}
}

Comments

6 pages, Omega_tot calculated