CMB anisotropy in a compact hyperbolic universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Measurements of CMB anisotropy are ideal experiments for discovering the non-tribial 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 hyperbolic space called m003(-2,3) using the direct boundary element method, which enables one to simulate the CMB in multiply-connected compact models with high precision. The angular power spectrum is found to be fairly flat for Omega_o = 0.2 0.6 for the scale-invariant (n! = !1) spectrum. We also study the correlation patterns in the corresponding CMB sky maps.

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