Three-dimensional Topology-Independent Methods to Look for Global Topology

Abstract

The space-like hypersurface of the Universe at the present cosmological time is a three-dimensional manifold. A non-trivial global topology of this space-like hypersurface would imply that the apparently observable universe (the sphere of particle horizon radius) could contain several images of the single, physical Universe. Recent three-dimensional techniques for constraining and/or detecting this topology are reviewed. Initial applications of these techniques using X-ray bright clusters of galaxies and quasars imply (weak) candidates for a non-trivial topology.

minor revision; 7 pages, 1 figure, accepted by Classical and Quantum Gravity

References in corpus (6)

• Circles in the Sky: Finding Topology with the Microwave Background Radiation
• A 120-Mpc Periodicity in the Three-Dimensional Distribution of Galaxy Superclusters
• Can COBE see the shape of the universe?
• Computing CMB Anisotropy in Compact Hyperbolic Spaces
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Cited by in corpus (10)

• Topology and the Cosmic Microwave Background
• A Hint of Poincaré Dodecahedral Topology in the WMAP First Year Sky Map
• Generalized Chaplygin gas model, supernovae and cosmic topology
• CMB Anisotropy in Compact Hyperbolic Universes I: Computing Correlation Functions
• The topology of the universe: the biggest manifold of them all
• How the Universe got its Spots
• COBE and Global Topology: An Example of the Application of the Identified Circles Principle
• A Counterexample to Claimed COBE Constraints on Compact Toroidal Universe Models
• Observational constraints on modified gravity models and the Poincaré dodecahedral topology
• Topology of the Universe: background and recent observational approaches