The Cosmic Microwave Background for a Nearly Flat Compact Hyperbolic Universe

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  • 18 July 2000
Abstract
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 dark energy component, which is a particular version of quintessence, 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 angular power spectra C_l of the CMB anisotropy are 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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