Hyperbolic universes with a horned topology and the cosmic microwave background anisotropy

2004/03/31 by R. Aurich, Ralf Aurich, Sven Lustig +2 · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph

paper · pdf · doi:10.1088/0264-9381/21/21/010

published as Class.Quant.Grav. 21 (2004) 4901-4926

openalex publication_date 2004/10/08 · arxiv created 2004/10/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We analyse the anisotropy of the cosmic microwave background (CMB) in hyperbolic universes possessing a non-trivial topology with a fundamental cell having an infinitely long horn. The aim of this paper is twofold. On the one hand, we show that the horned topology does not lead to a flat spot in the CMB sky maps in the direction of the horn as stated in the literature. On the other, we demonstrate that a horned topology having a finite volume could explain the suppression of the lower multipoles in the CMB anisotropy as observed by COBE and WMAP.

Citations

• Can COBE see the shape of the universe?
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• High resolution foreground cleaned CMB map from WMAP
• Strong rigidity ofQ-rank 1 lattices

Cited by

• Instability of reconstruction of the low CMB multipoles
• ELLIPTICITY OF LARGE SPOTS IN CMB ANISOTROPY MAPS
• Cosmic microwave background alignment in multi-connected universes
• A test of the Poincaré dodecahedral space topology hypothesis with the WMAP CMB data