Spherical Orbifolds for Cosmic Topology

Details Spherical Orbifolds for Cosmic Topology Spherical Orbifolds for Cosmic Topology

2012-01-09

arxiv.org/abs/1201.1875v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

17 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1011.4274

Scientific paper

Harmonic analysis is a tool to infer cosmic topology from the measured astrophysical cosmic microwave background CMB radiation. For overall positive curvature, Platonic spherical manifolds are candidates for this analysis. We combine the specific point symmetry of the Platonic manifolds with their deck transformations. This analysis in topology leads from manifolds to orbifolds. We discuss the deck transformations of the orbifolds and give eigenmodes for the harmonic analysis as linear combinations of Wigner polynomials on the 3-sphere. These provide new tools for detecting cosmic topology from the CMB radiation.

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