Spherical Orbifolds for Cosmic Topology
arXiv:1201.1875 · doi:10.1088/1742-6596/380/1/012024
Abstract
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.
17 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1011.4274
References in corpus (5)
- Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
- Platonic polyhedra tune the 3-sphere: Harmonic analysis on simplices
- CMB radiation in an inhomogeneous spherical space
- Multipole analysis in cosmic topology
- Platonic polyhedra tune the 3-sphere: II. Harmonic analysis on cubic spherical 3-manifolds