Simulating Cosmic Microwave Background maps in multi-connected spaces

Details Simulating Cosmic Microwave Background maps in multi-connected spaces Simulating Cosmic Microwave Background maps in multi-connected spaces

2002-12-10

arxiv.org/abs/astro-ph/0212223v2

Phys.Rev. D69 (2004) 103514

Astronomy and Astrophysics

Astrophysics

33 pages, 55 figures, submitted to PRD. Higher resolution figures available on demand

Scientific paper

10.1103/PhysRevD.69.103514

This article describes the computation of cosmic microwave background anisotropies in a universe with multi-connected spatial sections and focuses on the implementation of the topology in standard CMB computer codes. The key ingredient is the computation of the eigenmodes of the Laplacian with boundary conditions compatible with multi-connected space topology. The correlators of the coefficients of the decomposition of the temperature fluctuation in spherical harmonics are computed and examples are given for spatially flat spaces and one family of spherical spaces, namely the lens spaces. Under the hypothesis of Gaussian initial conditions, these correlators encode all the topological information of the CMB and suffice to simulate CMB maps.

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