Cosmic Topology of Polyhedral Double-Action Manifolds

TL;DR

This paper explores specific non-trivial spherical space topologies, called polyhedral double-action manifolds, and analyzes their effects on cosmic microwave background anisotropies, revealing some models with lower correlations than previously known shapes.

Contribution

It extends the analysis of CMB properties to new polyhedral double-action manifolds generated by binary polyhedral groups and cyclic groups, up to a larger group order.

Findings

Some polyhedral double-action manifolds exhibit lower large-angle CMB correlations than the Poincare dodecahedron.

20 such manifolds are identified and analyzed.

These models could explain the observed low correlations in the CMB sky.

Abstract

A special class of non-trivial topologies of the spherical space S^3 is investigated with respect to their cosmic microwave background (CMB) anisotropies. The observed correlations of the anisotropies on the CMB sky possess on large separation angles surprising low amplitudes which might be naturally be explained by models of the Universe having a multiconnected spatial space. We analysed in CQG 29(2012)215005 the CMB properties of prism double-action manifolds that are generated by a binary dihedral group D^*_p and a cyclic group Z_n up to a group order of 180. Here we extend the CMB analysis to polyhedral double-action manifolds which are generated by the three binary polyhedral groups (T^*, O^*, I^*) and a cyclic group Z_n up to a group order of 1000. There are 20 such polyhedral double-action manifolds. Some of them turn out to have even lower CMB correlations on large angles than the Poincare dodecahedron.