The shape of a small universe: signatures in the cosmic microwave background
arXiv:astro-ph/0207505 · doi:10.1103/PhysRevD.66.041302
Abstract
We consider the most general parametrization of flat topologically compact universes, complementing the work of Scannapieco, Levin and Silk to include non-trivial shapes. We find that modifications in shape of the fundamental domain will lead to distinct signatures in the anisotropy of the cosmic microwave radiation. We make a preliminary assessment of the effect on three statistics: the angular power spectrum, the distribution of identified ``circles'' on the surface of last scattering and the correlation function of antipodal points.
arXiv comment5 pages, 3 figures, accepted for publication in Phys. Rev. D
References in corpus (18)
- A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
- MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
- Cosmic Topology
- A Measurement of the Angular Power Spectrum of the CMB from l = 100 to 400
- Radical Compression of Cosmic Microwave Background Data
- Circles in the Sky: Finding Topology with the Microwave Background Radiation
- Can the lack of symmetry in the COBE/DMR maps constrain the topology of the universe?
- Shape versus Volume: Making Large Flat Extra Dimensions Invisible
- Reconstructing the global topology of the universe from the cosmic microwave background
- Flat Spots: topological signatures of an open universe in COBE sky maps
- CMB Anisotropy in Compact Hyperbolic Universes I: Computing Correlation Functions
- The topology of the universe: the biggest manifold of them all
- Measuring the Topology of the Universe
- Shadows of the Planck Scale: The Changing Face of Compactification Geometry
- COBE and Global Topology: An Example of the Application of the Identified Circles Principle
- A small universe after all?
- Temperature Correlations in a Finite Universe
- A Preferred-Direction Statistic for Sky Maps