The Cosmic Microwave Background for a Nearly Flat Compact Hyperbolic Universe

Details The Cosmic Microwave Background for a Nearly Flat Compact Hyperbolic Universe The Cosmic Microwave Background for a Nearly Flat Compact Hyperbolic Universe

2000-07-18

arxiv.org/abs/astro-ph/0007264v2

Mon.Not.Roy.Astron.Soc. 323 (2001) 1016-1024

Astronomy and Astrophysics

Astrophysics

9 pages

Scientific paper

The fluctuations of the cosmic microwave background (CMB) are investigated for a hyperbolic universe with finite volume. Four-component models with radiation, matter, vacuum energy, and an extra spatially constant dark energy X-component are considered. The general solution of the Friedmann equation for the cosmic scale factor a(eta) is given for the four-component models in terms of the Weierstrass P-function. The lower part of the angular power spectra C_l of the CMB anisotropy is computed for nearly flat models with Omega_tot <= 0.95. It is shown that the particular compact fundamental cell, which is considered in this paper, leads to a suppression in C_l for l<10 and Omega_tot <= 0.9.

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